E-print Network

E-print Network

Sample search results for: crystals efeito aharonov-bohm

 

1

AnomalousAnomalous AharonovBohmAharonovBohm gapgap

  Physics Websites

Summary: Significance of Electromagnetic Potentials in Quantum Physics (1959) #12;The Aharonov-Bohm effect Significance of Electromagnetic Potentials in Quantum Physics (1959) A magnetic-induced phase is measured as a change in the interference pattern C #12;The Aharonov-Bohm effect No trajectory dependence Significance of Electromagnetic

Marini, Andrea

2

Aharonov-Bohm Radiation

  CERN Preprints

Summary: A solenoid oscillating in vacuum will pair produce charged particles due to the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and power emitted for charged scalar particles. We extend the solenoid analysis to cosmic strings, and find enhanced radiation from cusps and kinks on loops. We argue by analogy with the electromagnetic AB interaction that cosmic strings should emit photons due to the gravitational AB interaction of fields in the conical spacetime of a cosmic string. We calculate the emission from a kink and find that it is of similar order as emission from a cusp, but kinks are vastly more numerous than cusps and may provide a more interesting observational signature.

Jones-Smith, Katherine; Vachaspati, Tanmay
2009-01-01

3

Locality and topology in the molecular Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: It is shown that the molecular Aharonov-Bohm effect is neither nonlocal nor topological in the sense of the standard magnetic Aharonov-Bohm effect. It is further argued that there is a close relationship between the molecular Aharonov-Bohm effect and the Aharonov-Casher effect for an electrically neutral spin$-{1/2}$ particle encircling a line of charge.

Erik Sjöqvist
2001-12-21

4

Quantum Aharonov-Bohm Billiard System

  Nonlinear Sciences (arXiv)

Summary: The Green's functions of the two and three-dimensional relativistic Aharonov-Bohm (A-B) systems are given by the path integral approach. In addition the exact radial Green's functions of the spherical A-B quantum billiard system in two and three-dimensional are obtained via the perturbation techanique of $\\delta $-function.

Der-San Chuu; De-Hone Lin
1999-09-15

5

On the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: Using the theory of self-adjoint extensions, we construct all the possible hamiltonians describing the non relativistic Aharonov-Bohm effect. In general the resulting hamiltonians are not rotationally invariant so that the angular momentum is not a constant of motion. Using an explicit formula for the resolvent, we describe the spectrum and compute the generalized eigenfunctions and the scattering amplitude.

Riccardo Adami; Alessandro Teta
1997-02-25

6

The Electric Aharonov-Bohm Effect

  Mathematical Physics (arXiv)

Summary: In their seminal paper Aharonov and Bohm (1959) claimed that electromagnetic fields can act at a distance on charged particles even if they are identically zero in the region of space where the particles propagate. They proposed two experiments to verify their theoretical conclusions. The magnetic effect, that has been extensively studied, and the electric effect where an electron is affected by a time-dependent electric potential that is constant in the region where the electron is propagating, i.e., such that the electric field vanishes along its trajectory. The Aharonov-Bohm effects imply such a strong departure from the physical intuition coming from classical physics that it is no wonder that they remain a highly controversial issue, after more than fifty years. The existence of electric Aharonov-Bohm effect, that has not been confirmed experimentally, is a very controversial issue. In their 1959 paper Aharonov and Bohm proposed an Ansatz for the solution to the Schroedinger equation in regions where there is a time-dependent electric potential that is constant in space. It consists in multiplying the free evolution by a phase given by the integral in time of the potential. The validity of this Ansatz predicts interference fringes between parts of a coherent electron beam that are subjected to different potentials. In this paper we prove that the exact solution to the Schroedinger equation is given by the Aharonov-Bohm Ansatz up to an error bound in norm that is uniform in time and that decays as a constant divided by the velocity. Our results give, for the first time, a rigorous proof that quantum mechanics predicts the existence of the electric Aharonov-Bohm effect, under conditions that we provide. We hope that our results will estimulate the experimental research on the electric Aharonov-Bohm effect.

Ricardo Weder
2011-07-14

7

Gravitational Dressing of Aharonov-Bohm Amplitudes

  HEP - Theory (arXiv)

Summary: We investigate Aharonov-Bohm scattering in a theory in which charged bosonic matter fields are coupled to topologically massive electrodynamics and topologically massive gravity. We demonstrate that, at one-loop order, the transmuted spins in this theory are related to the ones of ordinary Chern-Simons gauge theory in the same way that the Knizhnik-Polyakov-Zamolodchikov formula relates the Liouville-dressed conformal weights of primary operators to the bare weights in two-dimensional conformal field theories. We remark on the implications of this connection between two-dimensional conformal field theories and three-dimensional gauge and gravity theories for a topological membrane reformulation of strings. We also discuss some features of the gravitational analog of the Aharonov-Bohm effect.

G. Amelino-Camelia; I. I. Kogan; R. J. Szabo
1996-10-09

8

Noncommutativity and the Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: The possibility of detecting noncommutive space relics is analyzed by using the Aharonov-Bohm effect. If space is non-commutative, it turns out that the holonomy receives kinematical corrections that tend to diffuse the fringe pattern. This fringe pattern has a non-trivial energy dependence and, therefore, one could observe noncommutative effects by modifying the energy of the incident electrons beam in the Tonomura experimental arrangement

J. Gamboa; M. Loewe; J. C. Rojas
2001-11-07

9

Aharonov-Bohm Effect with $?$--type Interaction

  Mathematical Physics (arXiv)

Summary: A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux, corresponds to the Aharonov-Bohm effect; the other four parameters correspond to the strength of a singular potential barrier. The spectrum and eigenstates are computed and the scattering problem is solved.

L. Dabrowski; P. Stovicek
1996-12-30

10

Aharonov-Bohm Effect in Noncommutative Spaces

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding shift in the phase of the particle propagator due to the magnetic field of a thin solenoid receives certain gauge invariant corrections because of the noncommutativity. Evaluating the numerical value for this correction, an upper bound for the noncommutativity parameter is obtained.

M. Chaichian; A. Demichev; P. Presnajder; M. M. Sheikh-Jabbari; A. Tureanu
2000-12-19

11

Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach

  Mathematical Physics (arXiv)

Summary: We describe the general setting for the optical Aharonov-Bohm effect based on the inverse problem of the identification of the coefficients of the governing hyperbolic equation by the boundary measurements. We interpret the inverse problem result as a possibility in principle to detect the optical Aharonov-Bohm effect by the boundary measurements.

Gregory Eskin
2007-07-19

12

Aharonov--Bohm Effect in 3D Abelian Higgs Theory

  HEP - Lattice (arXiv)

Summary: We study a field--theoretical analogue of the Aharonov--Bohm effect in the 3D Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the vortex and the particle world trajectories. We show that the Aharonov--Bohm effect gives rise to a nontrivial interaction of tested charged particles.

M. N. Chernodub; F. V. Gubarev; M. I. Polikarpov
1996-08-14

13

Propagator for an Aharonov-Bohm-Coulomb system

  Quantum Physics (arXiv)

Summary: The propagator of three-dimensional Aharonov-Bohm-Coulomb system is calculated by following the Duru-Kleinert method. It is shown that the system is reduced to two independent two dimensional Aharonov-Bohm plus harmonic oscillator systems through dimensional extension and Kustaanheimo-Stiefel transformation. The energy spectrum is deduced.

D. K. Park; Sahng-Kyoon Yoo; Soo-Young Lee; Jae-Rok Kahng; Chang Soo Park; Eui-Soon Yim; C. H. Lee
1997-07-02

14

Classical Electrodynamics without Fields and the Aharonov-Bohm effect

  CERN Preprints

Summary: The Darwin-Breit Hamiltonian is applied to the Aharonov-Bohm experiment. As expected, the force acting on electrons from infinite solenoids or ferromagnetic rods vanishes. However, the interaction energies and phase factors of the electron wave packets are non-zero. This allows us to explain the Aharonov-Bohm effect without involvement of electromagnetic potentials, fields, and topological properties of space.

Stefanovich, Eugene V
2008-01-01

15

Geometry of the Aharonov-Bohm Effect

  Mathematical Physics (arXiv)

Summary: We show that the connection responsible for any abelian or non abelian Aharonov-Bohm effect with $n$ parallel ``magnetic'' flux lines in $\\R^3$, lies in a trivial $G$-principal bundle $P\\to M$, i.e. $P$ is isomorphic to the product $M\\times G$, where $G$ is any path connected topological group; in particular a connected Lie group. We also show that two other bundles are involved: the universal covering space $\\tilde{M}\\to M$, where path integrals are computed, and the associated bundle $P\\times_G \\C^m \\to M$, where the wave function and its covariant derivative are sections.

R. S. Huerfano; M. A. Lopez; M. Socolovsky
2007-03-06

16

Optical theorem for Aharonov-Bohm scattering

  HEP - Theory (arXiv)

Summary: Quantum-mechanical scattering off a magnetic vortex is considered, and the optical theorem is derived. The vortex core is assumed to be impermeable to scattered particles, and its transverse size is taken into account. We show that the scattering Aharonov-Bohm effect is independent of the choice of boundary conditions from the variety of the Robin ones. The behaviour of the scattering amplitude in the forward direction is analyzed, and the persistence of the Fraunhofer diffraction in the short-wavelength limit is shown to be crucial for maintaining the optical theorem in the quasiclassical limit.

Yu. A. Sitenko; N. D. Vlasii
2011-03-28

17

Deflating the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: I argue that the metaphysical import of the Aharonov-Bohm effect has been overstated: correctly understood, it does not require either rejection of gauge invariance or any novel form of nonlocality. The conclusion that it does require one or the other follows from a failure to keep track, in the analysis, of the complex scalar field to which the magnetic vector potential is coupled. Once this is recognised, the way is clear to a local account of the ontology of electrodynamics (or at least, to an account no more nonlocal than quantum theory in general requires); I sketch a possible such account.

David Wallace
2014-07-18

18

Dynamics of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no fields of the unperturbed solenoid acted on the electron. The solution of the Dirac equation qualitatively agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum of the electron.

Neven Simicevic
2010-03-24

19

Aharonov-Bohm Radiation of Fermions

  General Relativity & Quantum Cosmology (arXiv)

Summary: We analyze Aharonov-Bohm radiation of charged fermions from oscillating solenoids and cosmic strings. We find that the angular pattern of the radiation has features that differ significantly from that for bosons. For example, fermionic radiation in the lowest harmonic is approximately isotropically distributed around an oscillating solenoid, whereas for bosons the radiation is dipolar. We also investigate the spin polarization of the emitted fermion-antifermion pair. Fermionic radiation from kinks and cusps on cosmic strings is shown to depend linearly on the ultraviolet cut-off, suggesting strong emission at an energy scale comparable to the string energy scale.

Yi-Zen Chu; Harsh Mathur; Tanmay Vachaspati
2010-08-21

20

Aharonov--Bohm Effect in the Abelian Higgs Theory

  HEP - Lattice (arXiv)

Summary: We study a field--theoretical analogue of the Aharonov--Bohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the Abrikosov--Nielsen--Olesen string world sheets and the particle world trajectory. The creation operators of the strings are explicitly constructed in the path integral and in the Hamiltonian formulation of the theory. We show that the Aharonov--Bohm effect gives rise to several nontrivial commutation relations. We also study the Aharonov--Bohm effect in the lattice formulation of the Abelian Higgs Model. It occurs that this effect gives rise to a nontrivial interaction of tested charged particles.

M. N. Chernodub; M. I. Polikarpov
1995-11-01

21

The optical Aharonov-Bohm effect Polarization effects in the opticalPolarization effects in the optical AharonovAharonov--BohmBohm

  Physics Websites

Summary: The optical Aharonov-Bohm effect Polarization effects in the opticalPolarization effects in the optical AharonovAharonov--BohmBohm oscillations in quantum rings.oscillations in quantum rings. Luis Dias. · A net Aharonov-Bohm phase arises signatures in the optical emission and absorption of the Optical AB

Dias, Luis Gregório

22

The deconfinement phase transition as an Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: A subjective and incomplete list of interesting and unique features of the deconfinement phase transition is presented. Furthermore a formal similarity of the density matrix of the Aharonov-Bohm system and QCD is mentioned, as well.

Janos Polonyi
1999-06-27

23

Locality of the Aharonov-Bohm-Casher effect

  Quantum Physics (arXiv)

Summary: We address the question of the locality versus nonlocality in the Aharonov-Bohm and the Aharonov-Casher effects. For this purpose, we investigate all possible configurations of ideal shielding of the overlap between the electromagnetic fields generated by a charge and by a magnetic flux, and analyze their consequences on the Aharonov-Bohm-Casher interference. In a classical treatment of shielding, the Aharonov-Bohm-Casher effect vanishes regardless of the geometry of shielding, when the local overlap of electromagnetic fields is completely eliminated. On the other hand, the result depends on the configuration of shielding if the charge quantization in the superconducting shield is taken into account. It is shown that our results are fully understood in terms of the fluctuating local-field interaction. Our analysis strongly supports the alternative view on the Aharonov-Bohm-Casher interference that the effects originate from the local action of electromagnetic fields.

Kicheon Kang
2015-02-04

24

The Aharonov-Bohm Effect in the Momentum Space

  Quantum Physics (arXiv)

Summary: The Schrodinger formalism of quantum mechanics is used to demonstrate the existence of the Aharonov-Bohm effect in momentum space and set-ups for experimentally demonstrating it are proposed for either free or ballistic electrons.

D. Dragoman; S. Bogdan
2005-03-21

25

Locality of the Aharonov-Bohm-Casher effect

  Quantum Physics (arXiv)

Summary: We address the question of the locality versus nonlocality in the Aharonov-Bohm and the Aharonov-Casher effects. For this purpose, we investigate all possible configurations of ideal shielding of the overlap between the electromagnetic fields generated by a charge and by a magnetic flux, and analyze their consequences on the Aharonov-Bohm-Casher interference. In a classical treatment of shielding, the Aharonov-Bohm-Casher effect vanishes regardless of the geometry of shielding, when the local overlap of electromagnetic fields is completely eliminated. On the other hand, the result depends on the configuration of shielding if the charge quantization in the superconducting shield is taken into account. It is shown that our results are fully understood in terms of the fluctuating local-field interaction. Our analysis strongly supports the alternative view on the Aharonov-Bohm-Casher interference that the effects originate from the local action of electromagnetic fields.

Kicheon Kang
2014-08-04

26

Unitarity of the Aharonov-Bohm Scattering Amplitudes

  HEP - Theory (arXiv)

Summary: We discuss the unitarity relation of the Aharonov-Bohm scattering amplitude with the hope that it distinguishes between the differing treatments which employ different incident waves. We find that the original Aharonov-Bohm scattering amplitude satisfies the unitarity relation under the regularization prescription whose theoretical foundation does not appear to be understood. On the other hand, the amplitude obtained by Ruijsenaars who uses plane wave as incident wave also satisfies the unitarity relation but in an unusual way.

Masato Arai; Hisakazu Minakata
1998-08-09

27

Aharonov-Bohm effect in a Class of Noncommutative Theories

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\\"odinger-Pauli equation is separable through successive unitary transformations and the exact solution is found. The scattering amplitude is calculated and compared with the usual case. In the noncommutative Aharonov-Bohm case the differential cross section is independent of $\\theta$.

A. Das; H. Falomir; J. Gamboa; F. Mendez; M. Nieto
2011-05-09

28

Aharonov-Bohm Effect in Lattice Abelian Higgs Theory

  HEP - Phenomenology (arXiv)

Summary: We study a field-theoretical analogue of the Aharonov-Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the particle world trajectories. We show that the Aharonov-Bohm effect gives rise to a nontrivial interaction of charged test particles. The numerical calculations in the three-dimensional model confirm this fact.

M. N. Chernodub; F. V. Gubarev; M. I. Polikarpov
1997-04-30

29

The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schr$\\ddot{o}$dinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schr$\\ddot{o}$dinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively.

Kang Li; Sayipjamal Dulat
2006-08-13

30

Classical Electrodynamics without Fields and the Aharonov-Bohm effect

  Physics (arXiv)

Summary: The Darwin-Breit Hamiltonian is applied to the Aharonov-Bohm experiment. In agreement with the standard Maxwell-Lorentz theory, the force acting on electrons from infinite solenoids or ferromagnetic rods vanishes. However, the interaction energies and phase factors of the electron wave packets are non-zero. This allows us to explain the Aharonov-Bohm effect without involvement of electromagnetic potentials, fields, and topological properties of space.

Eugene V. Stefanovich
2008-03-09

31

Relativistic Corrections to the Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We determine the |p|/m expansion of the two body scattering amplitude of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. It is shown that the existence of a critical value of the self-interaction parameter for which the 2-particle amplitude reduces to the Aharonov-Bohm one is restricted to the leading, nonrelativistic, order. The subdominant terms correspond to relativistic corrections to the Aharonov-Bohm scattering.

M. Gomes; J. M. C. Malbouisson; A. J. da Silva
1996-11-05

32

Aharonov-Bohm Effect and Coordinate Transformations

  General Relativity & Quantum Cosmology (arXiv)

Summary: Resorting to a Gedankenexperiment which is very similar to the famous Aharonov-Bohm proposal it will be shown that, in the case of a Minkowskian spacetime, we may use a nonrelativistic quantum particle and a noninertial coordinate system and obtain geometric information of regions that are, to this particle, forbidden. This shows that the outcome of a nonrelativistic quantum process is determined not only by the features of geometry at those points at which the process takes place, but also by geometric parameters of regions in which the quantum system can not enter. From this fact we could claim that geometry at the quantum level plays a non-local role. Indeed, the measurement outputs of some nonrelativistic quantum experiments are determined not only by the geometry of the region in which the experiment takes place, but also by the geometric properties of spacetime volumes which are, in some way, forbidden in the experiment.

A. Camacho
1999-07-07

33

Quantum Computation with Aharonov-Bohm Qubits

  Quantum Physics (arXiv)

Summary: We analyze the posibility of employing the mesoscopic-nanoscopic ring of a normal metal in a doubly degenerate persistent current state with a third auxihilary level and in the presence of the Aharonov-Bohm flux equal to the half of the normal flux quantum $\\hbar c/e$ as a qubit. The auxiliary level can be effectively used for all fundamental quantum logic gate (qu-gate) operations which includes the initialization, phase rotation, bit flip and the Hadamard transformation as well as the double-qubit controlled operations (conditional bit flip). We suggest a tentative realization of the mechanism as either the mesoscopic structure of three quantum dots coherently coupled by mesoscopic tunnelling in crossed magnetic and electric fields, or as a nanoscopic structure of triple anionic vacancy (similar to $F_3$ centers in alkali halides) with one trapped electron in one spin projection state.

A. Barone; T. Hakioglu; I. O. Kulik
2002-03-02

34

Gravitational Aharonov-Bohm effect in graphene

  CERN Preprints

Summary: We study a kind of gravitational Aharonov-Bohm effect in a graphene sheet with a wedge removed and edges identified, i.e., a graphitic cone. The angular defect gives rise to a mismatch of the components of the graphene's relativistic charged quasiparticle wavefunctions (spinors) upon closed parallel transport around the (singular) cone tip. Such an effect should affect the basic electronic properties in "conical graphenes" as compared with their planar counterpart and it could be, in principle, detected experimentally. Measurements of the electronic transport in these graphitic materials and their relationships with the changes calculated in the quasiparticle wavefunctions could make available interesting probes to the Einstein theory of general relativity in two spatial dimensions. Therefore, we propose a way of verifying, in a microscopic scale, some predictions of a theory that is usually associated with incredible large objects such as planets, stars, black holes, galaxies and so on.

Fonseca, J M; Moura-Melo, W A; Franco, D H T
2009-01-01

35

Aharonov-Bohm-type Oscillations of Small Array of Antidots in Quantum Hall Regime

  Physics Websites

Summary: Aharonov-Bohm-type Oscillations of Small Array of Antidots in Quantum Hall Regime M. Kato, H Hall transition region in a small array of antidots. These Aharonov-Bohm-type oscillations at high array, quantum Hall effect, Aharonov-Bohm oscillation, PACS: 72.20.My, 73.23.Ad, 73.43.Qt, 73.21.La

Iye, Yasuhiro

36

The covariant, time-dependent Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: We discuss two possible covariant generalizations of the Aharonov-Bohm effect - one expression in terms of the space-time line integral of the four-vector potential and the other expression in terms of the space-time "area" integral of the electric and magnetic fields written in terms of the Faraday 2-form. These expressions allow one to calculate the Aharonov-Bohm effect for time-dependent situations. In particular, we use these expressions to study the case of an infinite solenoid with a time varying flux and find that the phase shift is zero due to a cancellation of the Aharonov-Bohm phase shift with a phase shift coming from the Lorentz force associated with the electric field, ${\\bf E} = - \\partial_t {\\bf A}$, outside the solenoid. This result may already have been confirmed experimentally.

Douglas Singleton; Elias C. Vagenas
2013-05-07

37

Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential

  CERN Preprints

Summary: We obtain exact solutions to the Dirac equation and the relevant binding energies in the combined Aharonov--Bohm--Coulomb potential in 2+1 dimensions. By means of solutions obtained the quantum Aharonov--Bohm effect is studied for free and bound electron states. We show that the total scattering amplitude in the combined Aharonov--Bohm--Coulomb potential is a sum of the Aharonov--Bohm and the Coulomb scattering amplitudes. This modifies expression for the standard Aharonov--Bohm cross section due to the interference these two amplitudes with each other.

Khalilov, V
2004-01-01

38

Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential

  Quantum Physics (arXiv)

Summary: We obtain exact solutions to the Dirac equation and the relevant binding energies in the combined Aharonov--Bohm--Coulomb potential in 2+1 dimensions. By means of solutions obtained the quantum Aharonov--Bohm effect is studied for free and bound electron states. We show that the total scattering amplitude in the combined Aharonov--Bohm--Coulomb potential is a sum of the Aharonov--Bohm and the Coulomb scattering amplitudes. This modifies expression for the standard Aharonov--Bohm cross section due to the interference these two amplitudes with each other.

Vladislav Khalilov
2004-06-04

39

Aharonov-Bohm magnetism and Landau diamagnetism in semimetals

  CERN Preprints

Summary: We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion laws that includes "non-relativistic" dispersion and demonstrate that at zero flux the ground-state of a very short "armchair" graphene tube will exhibit a ferromagnetic broken symmetry. We also compute the diamagnetic response of bulk semimetals to the presence of a uniform magnetic field, specifically predicting that the susceptibility has a logarithmic dependence on the size of the sample.

Kolomeisky, Eugene B
2011-01-01

40

Testing spatial noncommutativiy via the Aharonov-Bohm effect

  CERN Preprints

Summary: The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound $\\theta \\sim [ 10 {TeV}]^{-2}$ is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov- Bohm effect is also discussed.

Falomir, H A; Loewe, M; Méndez, F; Rojas, J C
2002-01-01

41

Aharonov-Bohm magnetism and Landau diamagnetism in semimetals

  Mathematical Physics (arXiv)

Summary: We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion laws that includes "non-relativistic" dispersion and demonstrate that at zero flux the ground-state of a very short "armchair" graphene tube will exhibit a ferromagnetic broken symmetry. We also compute the diamagnetic response of bulk semimetals to the presence of a uniform magnetic field, specifically predicting that the susceptibility has a logarithmic dependence on the size of the sample.

Eugene B. Kolomeisky; Joseph P. Straley
2011-12-29

42

Testing spatial noncommutativiy via the Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound $\\theta \\sim [ 10 {TeV}]^{-2}$ is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov- Bohm effect is also discussed.

H. Falomir; J. Gamboa; M. Loewe; F. Mendez; J. C. Rojas
2002-03-27

43

Spectral and scattering theory for the Aharonov-Bohm operators

  Mathematical Physics (arXiv)

Summary: We review the spectral and the scattering theory for the Aharonov-Bohm model on R^2. New formulae for the wave operators and for the scattering operator are presented. The asymptotics at high and at low energy of the scattering operator are computed.

K. Pankrashkin; S. Richard
2009-12-01

44

Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension

  Quantum Physics (arXiv)

Summary: We suggest as gedanken experiment a generalization of the Aharonov-Bohm experiment, based on an array of solenoids. This experiment allows in principle to measure the decomposition into homotopy classes of the quantum mechanical propagator. This yields information on the geometry of the average path of propagation and allows to determine its Hausdorff dimension.

H. Kr{ö}ger
1997-01-31

45

Aharonov-Bohm effect on the Poincaré disk

  Mathematical Physics (arXiv)

Summary: We consider formal quantum hamiltonian of a charged particle on the Poincar\\'e disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that this hamiltonian admits a four-parameter family of self-adjoint extensions. Its resolvent and the density of states are calculated for natural values of the extension parameters.

O. Lisovyy
2007-03-02

46

Symmetry-protected many-body Aharonov-Bohm effect

  MIT - DSpace

Summary: It is known as a purely quantum effect that a magnetic flux affects the real physics of a particle, such as the energy spectrum, even if the flux does not interfere with the particle's path—the Aharonov-Bohm effect. Here ...

Santos, Luiz H.

47

Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We perform a perturbative analysis of the nonabelian Aharonov-Bohm problem to one loop in a field theoretic framework, and show the necessity of contact interactions for renormalizability of perturbation theory. Moreover at critical values of the contact interaction strength the theory is finite and preserves classical conformal invariance.

Dongsu Bak; Oren Bergman
1994-03-18

48

The Aharonov-Bohm effect for a knotted magnetic solenoid

  HEP - Theory (arXiv)

Summary: We show that the linking of a semiclassical path of a charged particle with a knotted magnetic solenoid results in the Aharonov-Bohm effect. The phase shift in the wave function is proportional to the flux intersecting a certain connected and orientable surface bounded by the knot (a Seifert surface of the knot).

Roman V. Buniy; Thomas W. Kephart
2008-08-13

49

Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance

  HEP - Theory (arXiv)

Summary: We perform a perturbative analysis of the Aharonov-Bohm problem to one loop in a field-theoretic formulation, and show that contact interactions are necessary for renormalizability. In general, the classical scale invariance of this problem is broken quantum mechanically. There exists however a critical point for which this anomaly disappears.

O. Bergman; G. Lozano
1993-02-24

50

Zero modes in a system of Aharonov-Bohm fluxes

  Mathematical Physics (arXiv)

Summary: We study zero modes of two-dimensional Pauli operators with Aharonov--Bohm fluxes in the case when the solenoids are arranged in periodic structures like chains or lattices. We also consider perturbations to such periodic systems which may be infinite and irregular but they are always supposed to be sufficiently scarce.

V. A. Geyler; P. Stovicek
2004-12-31

51

Putting a Spin on the Aharonov-Bohm Oscillations

  Quantum Physics (arXiv)

Summary: An experiment that shows the modulation of the Aharonov-Bohm oscillations of magneto-resistance in a mesoscopic ring is described. Possible theoretical explanations of this modulation due to the interaction of the electron spin with the magnetic and electric fields are considered.

Jeeva Anandan
2002-12-17

52

Group-Theoretical Derivation of Aharonov-Bohm Phase Shifts

  Mathematical Physics (arXiv)

Summary: The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schrodinger equation. It is shown here that they readily emerge from an o(2,1) calculation of the energy levels employing an added harmonic oscillator potential which discretizes the spectrum.

C. R. Hagen
2012-11-16

53

Symmetry-protected many-body Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: It is known as a purely quantum effect that a magnetic flux affects the real physics of a particle, such as the energy spectrum, even if the flux does not interfere with the particle's path - the Aharonov-Bohm effect. Here we examine an Aharonov-Bohm effect on a many-body wavefunction. Specifically, we study this many-body effect on the gapless edge states of a bulk gapped phase protected by a global symmetry (such as $\\mathbb{Z}_{N}$) - the symmetry-protected topological (SPT) states. The many-body analogue of spectral shifts, the twisted wavefunction and the twisted boundary realization are identified in this SPT state. An explicit lattice construction of SPT edge states is derived, and a challenge of gauging its non-onsite symmetry is overcome. Agreement is found in the twisted spectrum between a numerical lattice calculation and a conformal field theory prediction.

Luiz H. Santos; Juven Wang
2013-10-30

54

Aharonov-Bohm Effect in Cyclotron and Synchrotron Radiations

  HEP - Theory (arXiv)

Summary: We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in view, exact solutions of Klein-Gordon and Dirac equations are found in the magnetic-solenoid field. Using such solutions, we calculate exactly all the characteristics of one-photon spontaneous radiation both for spinless and spinning particle. Considering non-relativistic and relativistic approximations, we analyze cyclotron and synchrotron radiations in detail. Radiation peculiarities caused by the presence of the solenoid may be considered as a manifestation of Aharonov-Bohm effect in the radiation. In particular, it is shown that new spectral lines appear in the radiation spectrum. Due to angular distribution peculiarities of the radiation intensity, these lines can in principle be isolated from basic cyclotron and synchrotron radiation spectra

V. G. Bagrov; D. M. Gitman; A. Levin; V. B. Tlyachev
2000-11-06

55

Diffraction and Quasiclassical Limit of the Aharonov--Bohm Effect

  CERN Preprints

Summary: Since the Aharonov-Bohm effect is the purely quantum effect that has no analogues in classical physics, its persistence in the quasiclassical limit seems to be hardly possible. Nevertheless, we show that the scattering Aharonov-Bohm effect does persist in the quasiclassical limit owing to the diffraction, i.e. the Fraunhofer diffraction in the case when space outside the enclosed magnetic flux is Euclidean, and the Fresnel diffraction in the case when the outer space is conical. Hence, the enclosed magnetic flux can serve as a gate for the propagation of short-wavelength, almost classical, particles. In the case of conical space, this quasiclassical effect which is in principle detectable depends on the particle spin.

Sitenko, Yu A
2010-01-01

56

Planar massless fermions in Coulomb and Aharonov-Bohm potentials

  CERN Preprints

Summary: Solutions to the Dirac equation are constructed for a massless charged fermion in Coulomb and Aharonov--Bohm potentials in 2+1 dimensions. The Dirac Hamiltonian on this background is singular and needs a one-parameter self-adjoint extension, which can be given in terms of self-adjoint boundary conditions. We show that the virtual (quasistationary) bound states emerge in the presence of an attractive Coulomb potential when the so-called effective charges become overcritical and discuss a restructuring of the vacuum of the quantum electrodynamics when the virtual bound states emerge. We derive equations, which determine the energies and lifetimes of virtual bound states, find solutions of obtained equations for some values of parameters as well as analyze the local density of states as a function of energy in the presence of Coulomb and Aharonov--Bohm potentials.

Khalilov, V R
2013-01-01

57

The Aharonov--Bohm effect in scattering theory

  HEP - Theory (arXiv)

Summary: The Aharonov--Bohm effect is considered as a scattering event with nonrelativistic charged particles of the wavelength which is less than the transverse size of an impenetrable magnetic vortex. The quasiclassical WKB method is shown to be efficient in solving this scattering problem. We find that the scattering cross section consists of two terms, one describing the classical phenomenon of elastic reflection and another one describing the quantum phenomenon of diffraction; the Aharonov--Bohm effect is manifested as a fringe shift in the diffraction pattern. Both the classical and the quantum phenomena are independent of the choice of a boundary condition at the vortex edge, providing that probability is conserved. We show that a propagation of charged particles can be controlled by altering the flux of a magnetic vortex placed on their way.

Yu. A. Sitenko; N. D. Vlasii
2013-03-18

58

Diffraction and quasiclassical limit of the Aharonov--Bohm effect

  Mathematical Physics (arXiv)

Summary: Since the Aharonov-Bohm effect is the purely quantum effect that has no analogues in classical physics, its persistence in the quasiclassical limit seems to be hardly possible. Nevertheless, we show that the scattering Aharonov-Bohm effect does persist in the quasiclassical limit owing to the diffraction, i.e. the Fraunhofer diffraction in the case when space outside the enclosed magnetic flux is Euclidean, and the Fresnel diffraction in the case when the outer space is conical. Hence, the enclosed magnetic flux can serve as a gate for the propagation of short-wavelength, almost classical, particles. In the case of conical space, this quasiclassical effect which is in principle detectable depends on the particle spin.

Yu. A. Sitenko; N. D. Vlasii
2010-05-26

59

Potential Effect: Aharonov-Bohm Effect of Simply Connected Region

  Quantum Physics (arXiv)

Summary: We study a generalization of Aharonov-Bohm effect, the potential effect. The discussion is focused on field-free effects in simply connected region, which obviously can not have any local field-flux. Among the published discussions about this kind of effects, it is generally agreed that this kind of effects does not exist due to gauge invariance. However, there are also opinions that this effect is a trivial variation of Aharonov-Bohm effect and therefore there is no need to check its existence. To my knowledge, it has never been tested. My first goal here is to supply enough theoretical reason to motivate the experimental test of this effect. I start with an intuitive derivation, then I introduce a wave-front theory as a theoretical consideration. Logically, the existence of potential effect implies the existence of the AB effect, but not vice versa. The purpose of this paper is to provide a physical connection in the opposite direction.

Jùn L{\\'?}u
1995-06-25

60

Hydrino like states in graphene and Aharonov-Bohm field

  CERN Preprints

Summary: We study the dynamics of fermions on graphene in presence of Coulomb impurities and Aharonov-Bohm field. Special emphasis is given to the formation of hydrino like states and its lifting of degeneracy due to the presence of AB field. The flux of the AB field can be tuned to make the low angular momentum hydrino states stable against decay. The zero limit physics of the two coupling constants \\alpha_G and \\Phi involved in the system is discussed.

Giri, Pulak Ranjan
2008-01-01

61

Levinson theorem for Aharonov-Bohm scattering in two dimensions

  Quantum Physics (arXiv)

Summary: We apply the recently generalized Levinson theorem for potentials with inverse square singularities [Sheka et al, Phys.Rev.A, v.68, 012707 (2003)] to Aharonov-Bohm systems in two-dimensions. By this theorem, the number of bound states in a given m-th partial wave is related to the phase shift and the magnetic flux. The results are applied to 2D soliton-magnon scattering.

Denis D. Sheka; Franz G. Mertens
2006-09-25

62

Hydrino like states in graphene and Aharonov-Bohm field

  Mathematical Physics (arXiv)

Summary: We study the dynamics of fermions on graphene in presence of Coulomb impurities and Aharonov-Bohm field. Special emphasis is given to the formation of hydrino like states and its lifting of degeneracy due to the presence of AB field. The flux of the AB field can be tuned to make the low angular momentum hydrino states stable against decay. The zero limit physics of the two coupling constants \\alpha_G and \\Phi involved in the system is discussed.

Pulak Ranjan Giri
2008-08-25

63

Conditional Aharonov-Bohm Phases with Double Quantum Dots

  Quantum Physics (arXiv)

Summary: A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double dot, results in a two-qubit control phase gate. The physical mechanisms of the system are analysed in detail and the conditions for performing quantum computation resilient to control errors are outlined and found to be realisable with present technology.

Roberta Rodriquez; Jiannis K. Pachos
2004-05-13

64

On the Nonabelian Aharonov Bohm Scattering of Spinless Particles

  HEP - Theory (arXiv)

Summary: The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop renormalization program is implemented. Through the introduction of an intermediary cutoff, separating the regions of high and low integration momentum, the nonrelativistic limit is derived. The next to leading relativistic approximation is also determined. In this approach quantum field theory vacuum polarization effects are automatically incorporated.

M. Gomes; L. C. Malacarne; A. J. da Silva
1998-12-01

65

Scalar Pair Production in the Aharonov-Bohm Potential

  Quantum Physics (arXiv)

Summary: In the framework of QED, scalar pair production by a single linearly polarized high-energy photon in the presence of an external Aharonov-Bohm potential is investigated. The exact scattering solutions of the Klein-Gordon equation in cylindrically symmetric field are constructed and used to write the first order transition amplitude. The matrix elements and the corresponding differential scattering cross-section are calculated. The pair production at both the nonrelativistic and the ultrarelativistic limits is discussed.

G. Y. Shahin; M. S. Shikakhwa
2004-08-27

66

On a generalized gravitational Aharonov-Bohm effect

  General Relativity & Quantum Cosmology (arXiv)

Summary: A massless spinor particle is considered in the background gravitational field due to a rotating body. In the weak field approximation it is shown that the solution of the Weyl equations depend on the angular momentum of the rotating body, which does not affect the curvature in this approximation. This result may be looked upon as a generalization of the gravitational Aharonov-Bohm effect.

Geusa de A. Marques; V. B. Bezerra
2003-02-07

67

Radiative Corrections to the Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We consider the scattering of relativistic electrons from a thin magnetic flux tube and perturbatively calculate the order $\\alpha$, radiative correction, to the first order Born approximation. We show also that the second order Born amplitude vanishes, and obtain a finite inclusive cross section for the one-body scattering which incorporates soft photon bremsstrahlung effects. Moreover, we determine the radiatively corrected Aharonov-Bohm potential and, in particular, verify that an induced magnetic field is generated outside of the flux tube.

L. C. de Albuquerque; M. Gomes; A. J. da Silva
1999-06-22

68

Mathematical justification of the Aharonov-Bohm hamiltonian

  CERN Preprints

Summary: It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is obtained by way of increasing sequences of finitely long solenoids together with a natural impermeability procedure; further, both limits commute. Such rigorous limits are in the strong resolvent sense and in both $\\R^2$ and $\\R^3$ spaces.

de Oliveira, Cesar R
2008-01-01

69

Aharonov-Bohm Effect: a Quantum Variation and Classical Analogy

  Quantum Physics (arXiv)

Summary: In this work we consider a quantum variation of the usual Aharonov-Bohm effect with two solenoids sufficiently close one to the other so that (external) electron cannot propagate between two solenoids but only around both solenoids. Here magnetic field (or classical vector potential of the electromagnetic field) acting at quantum propagating (external) electron represents the quantum mechanical average value or statistical mixture. It is obtained by wave function of single (internal, quantum propagating within some solenoid wire) electron (or homogeneous ensemble of such (internal) electrons) representing a quantum superposition with two practically non-interfering terms. All this implies that phase difference and interference shape translation of the quantum propagating (external) electron represent the quantum mechanical average value or statistical mixture. On the other hand we consider a classical analogy and variation of the usual Aharonov-Bohm effect in which Aharonov-Bohm solenoid is used for the primary coil inside secondary large coil in the remarkable classical Faraday experiment of the electromagnetic induction.

Vladan Pankovic; Darko Kapor; Stevica Djurovic; Milan Pantic
2014-04-23

70

Levinson's theorem and higher degree traces for Aharonov-Bohm operators

  Physics Websites

Summary: Levinson's theorem and higher degree traces for Aharonov-Bohm operators Johannes Kellendonk1 type theorems for the family of Aharonov-Bohm models from different perspectives. The first one precisely the various contributions to the left hand side of Levinson's theorem, namely those due

Paris-Sud XI, Université de

71

AHARONOV-BOHM-TYPE EFFECTS IN ANTIDOT ARRAYS AND THEIR DECOHERENCE

  Physics Websites

Summary: AHARONOV-BOHM-TYPE EFFECTS IN ANTIDOT ARRAYS AND THEIR DECOHERENCE MASANORI KATO, HIROYASU TANAKA in triangular and square arrays of antidots fabricated from two-dimensional electron systems in GaAs/AlGaAs heterostructure. Keywords: Aharonov-Bohm oscillation, two-dimensional electron system, antidot array; vortex glass

Iye, Yasuhiro

72

Anomalous Aharonov-Bohm-Type Effects in Square Array of Antidots

  Materials Science Websites

Summary: Anomalous Aharonov-Bohm-Type Effects in Square Array of Antidots Masanori Kato, Akira Endo, Shingo arrays of antidots fabricated from GaAs/AlGaAs two-dimensional electron systems. The oscillation period nanostructure, Aharonov-Bohm effect, antidot PACS: 73.23.-b, 73.43.Qt Antidot array fabricated from two

Katsumoto, Shingo

73

Remarks on magnetic and electric Aharonov-Bohm effects

  Mathematical Physics (arXiv)

Summary: We give a direct proof of the magnetic Aharonov-Bohm effects without using the scattering theory and the theory of inverse boundary value problems. This proof can serve as a framework for a physical experiment to confirm the magnetic AB effect. We prove also the electric AB effect and we suggest a physical experiment to demonstrate the electric AB effect. In addition, we consider a combined electric and magnetic AB effect and we propose a new inverse problem for the time-dependent Schr\\"odinger equations. Finally we study the gravitational AB effect.

Gregory Eskin
2010-07-22

74

Strings and Aharonov–Bohm Effect in Abelian Higgs Model

  CiteSeer

Summary: We investigate numerically the properties of the Abrikosov – Nielsen–Olesen strings in 4D abelian Higgs model. The fractal dimension Df of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase. We also show that the Wilson loop for non-integer charges is correlated with the linking number of the vortex string world sheets and the test particle world trajectory. We find that this topological (AharonovBohm) interaction gives the main contribution to the Wilson loop quantum average for non–integer test charges in the vicinity of the Coulomb–Higgs phase transition.

M. N. Chernodub; M. I. Polikarpov; A. I. Veselov; M. A. Zubkov
1998-01-01

75

On the Locality Principle Keeping in Aharonov-Bohm Effect

  Physics (arXiv)

Summary: The locality principle fulfillment in the Aharonov-Bohm (AB) effect is analyzed from the point of view of a self-sufficient potential formalism based on so-called gradient hypothesis in electrodynamics. The "magnetic" kind of AB effect is examined (as the quantum charged particle moves to an infinitely long solenoid with a permanent current), and no locality principle violation recognized if the gradient hypothesis is used. A conclusion is made that AB effect is no longer a physical and electrodynamic "paradox".

Alexander Gritsunov; Natalie Masolova
2013-07-01

76

On the Locality Principle Keeping in Aharonov-Bohm Effect

  CERN Preprints

Summary: The locality principle fulfillment in the Aharonov-Bohm (AB) effect is analyzed from the point of view of a self-sufficient potential formalism based on so-called gradient hypothesis in electrodynamics. The "magnetic" kind of AB effect is examined (as the quantum charged particle moves to an infinitely long solenoid with a permanent current), and no locality principle violation recognized if the gradient hypothesis is used. A conclusion is made that AB effect is no longer a physical and electrodynamic "paradox".

Gritsunov, Alexander
2013-01-01

77

Magnetic Force Exerted by the Aharonov-Bohm Line

  Quantum Physics (arXiv)

Summary: The problem of the scattering of a charge by the Aharonov-Bohm (AB) flux line is reconsidered in terms of finite width beams. It is shown that despite the left-right symmetry in the AB scattering cross-section, the charge is scattered asymmetrically. The asymmetry (i.e. magnetic force) originates from almost forward scattering within the angular size of the incident wave. In the paraxial approximation, the real space solution to the scattering problem of a beam is found as well as the scattering S-matrix. The Boltzmann kinetics and the Landau quantization in a random AB array are considered.

Andrei Shelankov
1998-04-02

78

A macroscopic test of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm (AB) effect is a purely quantum mechanical effect. The original (classified as Type-I) AB-phase shift exists in experimental conditions where the electromagnetic fields and forces are zero. It is the absence of forces that makes the AB-effect entirely quantum mechanical. Although the AB-phase shift has been demonstrated unambiguously, the absence of forces in Type-I AB-effects has never been shown. Here, we report the observation of the absence of time delays associated with forces of the magnitude needed to explain the AB-phase shift for a macroscopic system.

Adam Caprez; Brett Barwick; Herman Batelaan
2007-08-17

79

Perturbation Theory and the Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: The perturbation theory expansion of the Aharonov-Bohm scattering amplitude has previously been studied in the context of quantum mechanics for spin zero and spin-1/2 particles as well in Galilean covariant field theory. This problem is reconsidered in the framework of the model in which the flux line is considered to have a finite radius which is shrunk to zero at the end of the calculation. General agreement with earlier results is obtained but with the advantage of a treatment which unifies all the various subcases.

C. R. Hagen
1995-03-06

80

QED processes beyond the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: We consider QED - processes in the presence of an infinitely thin and infinitely long straight string with a magnetic flux inside it. The bremsstrahlung from an electron passing by the magnetic string and the electron-positron pair production by a single photon are reviewed. Based on the exact electron and positron solutions of the Dirac equation in the external Aharonov-Bohm potential we present matrix elements for these processes. The dependence of the resulting cross sections on energies, directions and polarizations of the involved particles is discussed for low energies.

J. Audretsch; V. D. Skarzhinsky
1997-09-14

81

Topology, Locality, and Aharonov-Bohm Effect with Neutrons

  HEP - Theory (arXiv)

Summary: Recent neutron interferometry experiments have been interpreted as demonstrating a new topological phenomenon similar in principle to the usual Aharonov-Bohm (AB) effect, but with the neutron's magnetic moment replacing the electron's charge. We show that the new phenomenon, called Scalar AB (SAB) effect, follows from an ordinary local interaction, contrary to the usual AB effect, and we argue that the SAB effect is not a topological effect by any useful definition. We find that SAB actually measures an apparently novel spin autocorrelation whose operator equations of motion contain the local torque in the magnetic field. We note that the same remarks apply to the Aharonov-Casher effect.

Murray Peshkin; H. J. Lipkin
1995-01-13

82

Combined Electric and Magnetic Aharonov-Bohm Effects

  Quantum Physics (arXiv)

Summary: It is well-known that the electric and magnetic Aharonov-Bohm effects may be formally described on equal footing using the four-vector potential in a relativistic framework. We propose an illustrative manifestation of both effects in a single configuration, in which the specific path of the charged particle determines the weight of the electric and magnetic acquired relative phases. The phases can be distinctively obtained in the Coulomb gauge. The scheme manifests the pedagogical lesson that though each of the relative phases is gauge-dependent their sum is gauge-invariant.

Samuel Marcovitch; Yakir Aharonov; Tirza Kaufferr; Benni Reznik
2007-09-11

83

The incident wave in Aharonov-Bohm scattering wavefunction

  HEP - Theory (arXiv)

Summary: It is shown that only the infinite angular momentum quantum states contribute to the incident wave in Aharonov-Bohm (AB) scattering. This result is clearly shown by recalculating the AB calculation with arbitrary decomposition of summation over the angular momentum quantum numbers in wave function. It is motivated from the fact that the pole contribution in the integral representation used by Jackiw is given by only the infinite angular momentum states, in which the closed contour integration involving this pole gives just the incident wave.

Sahng-Kyoon Yoo; D. K. Park
1997-07-02

84

Complemetarity of Phases in Aharonov-Bohm Solenoid Effect

  Quantum Physics (arXiv)

Summary: In the present Note it is suggested that there should be a certain complementarity of phases between Aharonov-Bohm (AB) solenoid phase calculation on one part of the system and a phase calculation about another part of the physical system. Assuming a unique value for the function of the total system, after a complete circulation of the electron around the solenoid, the sum of these two phase changes should vanish. Such assumption leads to a compatibility relation between our previous calculations for the AB solenoid phase effect and that of the original calculation by AB.

Y. Ben-Aryeh
2011-12-21

85

Gravitational Aharonov-Bohm effect and gravitational lensing

  General Relativity & Quantum Cosmology (arXiv)

Summary: Considering the spacetime around a rotating massif body it is seen that the time of flight of a light ray is different whether it travels on one side of the source or on the other. The difference is proportional to the angular momentum of the body. In the case that a compact rapidly rotating object is the source of a gravitational lensing effect, the contribution coming from the above mentioned gravitational Aharonov-Bohm effect should be added to the other causes of phase difference between light rays coming from different images of the same object.

A. Tartaglia
2000-03-08

86

Strings and Aharonov-Bohm Effect in Abelian Higgs Model

  HEP - Lattice (arXiv)

Summary: We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D_f of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase. We also show that the Wilson loop for non-integer charges is correlated with the linking number of the vortex string world sheets and the test particle world trajectory. We find that this topological (Aharonov-Bohm) interaction gives the main contribution to the Wilson loop quantum average for non-integer test charges in the vicinity of the Coulomb-Higgs phase transition.

M. N. Chernodub; M. I. Polikarpov; A. I. Veselov; M. A. Zubkov
1998-04-02

87

Aharonov-Bohm-Coulomb Problem in Graphene Ring

  Quantum Physics (arXiv)

Summary: We study the Aharonov-Bohm-Coulomb problem in a graphene ring. We investigate, in particular, the effects of a Coulomb type potential of the form $\\xi/r$ on the energy spectrum of Dirac electrons in the graphene ring in two different ways: one for the scalar coupling and the other for the vector coupling. It is found that, since the potential in the scalar coupling breaks the time-reversal symmetry between the two valleys as well as the effective time-reversal symmetry in a single valley, the energy spectrum of one valley is separated from that of the other valley, demonstrating a valley polarization. In the vector coupling, however, the potential does not break either of the two symmetries and its effect appears only as an additive constant to the spectrum of Aharonov-Bohm potential. The corresponding persistent currents, the observable quantities of the symmetry-breaking energy spectra, are shown to be asymmetric about zero magnetic flux in the scalar coupling, while symmetric in the vector coupling.

Eylee Jung; Mi-Ra Hwang; ChangSoo Park; DaeKil Park
2012-01-14

88

Aharonov-Bohm and Coulomb Scattering Near the Forward Direction

  Quantum Physics (arXiv)

Summary: The exact wave functions that describe scattering of a charged particle by a confined magnetic field (Aharonov-Bohm effect) and by a Coulomb field are analyzed. It is well known that the usual procedure of finding asymptotic forms of these functions which admit a separation into a superposition of an incident plane wave and a circular or spherical scattered wave is problematic near the forward direction. It thus appears to be impossible to express the conservation of probability by means of an optical theorem of the usual kind. Both the total cross section and the forward scattering amplitude appear to be infinite. To address these difficulties we find a new representation for the asymptotic form of the Aharonov-Bohm wave function that is valid for all angles. Rather than try to define a cross section at forward angles, however, we work instead with the probability current and find that it is quite well behaved. The same is true for Coulomb scattering. We trace the usual difficulties to a nonuniformity of limits.

Charles M. Sommerfield; Hisakazu Minakata
2000-07-07

89

Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field

  Mathematical Physics (arXiv)

Summary: The most general admissible boundary conditions are derived for an idealised Aharonov-Bohm flux intersecting the plane at the origin on the background of a homogeneous magnetic field. A standard technique based on self-adjoint extensions yields a four-parameter family of boundary conditions; other two parameters of the model are the Aharonov-Bohm flux and the homogeneous magnetic field. The generalised boundary conditions may be regarded as a combination of the Aharonov-Bohm effect with a point interaction. Spectral properties of the derived Hamiltonians are studied in detail.

Pavel Exner; Pavel Stovicek; Petr Vytras
2001-11-08

90

Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup

  Quantum Physics (arXiv)

Summary: We analyze a Hanbury Brown Twiss geometry in which particles are injected from two independent sources into a mesoscopic electrical conductor. The set-up has the property that all partial waves end in different reservoirs without generating any single particle interference. There is no single particle Aharonov-Bohm effect. However, exchange effects lead to two-particle Aharonov-Bohm oscillations in current correlations. We demonstrate that the two-particle Aharonov-Bohm effect is connected to orbital entanglement which can be used for violation of a Bell Inequality.

P. Samuelsson; E. V. Sukhorukov; M. Buttiker
2003-07-18

91

Propagator for spinless and spin-1/2 Aharonov-Bohm-Coulomb systems

  HEP - Theory (arXiv)

Summary: The propagator of the spinless Aharonov-Bohm-Coulomb system is derived by following the Duru-Kleinert method. We use this propagator to explore the spin-1/2 Aharonov-Bohm-Coulomb system which contains a point interaction as a Zeeman term. Incorporation of the self-adjoint extension method into the Green's function formalism properly allows us to derive the finite propagator of the spin-1/2 Aharonov-Bohm-Coulomb system. As a by-product, the relation between the self-adjoint extension parameter and the bare coupling constant is obtained. Bound-state energy spectra of both spinless and spin-1/2 Aharonov-Bohm-Coulomb systems are examined.

D. K. Park; Sahng-Kyoon Yoo
1997-11-01

92

Aharonov-Bohm effect in the chiral Luttinger liquid Michael R. Geller

  Physics Websites

Summary: Aharonov-Bohm effect in the chiral Luttinger liquid Michael R. Geller Department of Physics, Simon However, as was shown by Laughlin,5 the fractional quantum Hall effect FQHE occurs because strong electron

Geller, Michael R.

93

The bound state Aharonov-Bohm effect around a cosmic string revisited

  General Relativity & Quantum Cosmology (arXiv)

Summary: In this article we observe that the self-adjoint extension of the Hamiltonian of a particle moving around a shielded cosmic string gives rise to a gravitational analogue of the bound state Aharonov-Bohm effect.

C. Filgueiras; Fernando Moraes
2005-09-26

94

Gauge equivalence classes of flat connections in the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: In this note we present a simplified derivation of the fact that the moduli space of flat connections in the abelian Aharonov-Bohm effect is isomorphic to the circle. The length of this circle is the electric charge.

M. A. Aguilar; J. M. Isidro; M. Socolovsky
2003-05-23

95

Photon mass and quantum effects of the Aharonov-Bohm type

  Quantum Physics (arXiv)

Summary: The magnetic field due to the photon rest mass $m_{ph}$ modifies the standard results of the Aharonov-Bohm effect for electrons, and of other recent quantum effects. For the effect involving a coherent superposition of beams of particles with opposite electromagnetic properties, by means of a table-top experiment, the limit $m_{ph}x10^{-51}g$ is achievable, improving by 6 orders of magnitude that derived by Boulware and Deser for the Aharonov-Bohm effect.

G. Spavieri; M. Rodriguez
2007-05-08

96

Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields

  CERN Preprints

Summary: We suggest a method for trapping photons in quasi one-dimensional waveguide or coupled-resonator lattices, which is based on an optical analogue of the Aharonov-Bohm cages for charged particles. Light trapping results from a destructive interference of Aharonov-Bohm type induced by a synthetic magnetic field, which is realized by periodic modulation of the waveguide/resonator propagation constants/resonances.

Longhi, Stefano
2014-01-01

97

The Aharonov-Casher and scalar Aharonov-Bohm topological effects

  Quantum Physics (arXiv)

Summary: We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and scalar Aharonov-Bohm phases are clarified. We analyse the arguments of M. Peshkin and H. J. Lipkin (Phys. Rev. Lett. 74, 2847(1995)) in detail and show that they are based on the wrong Hamiltonian which yields their conclusion incorrect.

Sayipjamal Dulat; Kai Ma
2012-03-23

98

Multiple solutions to a nonlinear Schrodinger equation with Aharonov-Bohm magnetic poten-

  Environmental Sciences and Ecology Websites

Summary: Multiple solutions to a nonlinear Schr¨odinger equation with Aharonov-Bohm magnetic poten- tial M´onica Clapp and Andrzej Szulkin Abstract. We consider the magnetic nonlinear Schr¨odinger equations (-i + sA)2}, s R, and A : R3 R3 is the Aharonov-Bohm magnetic potential A(x1, x2, x3) := 1 x2 1 + x2 2 (-x2, x1, 0

Szulkin, Andrzej

99

Gravito-electromagnetic Aharonov-Bohm effect: some rotation effects revised

  General Relativity & Quantum Cosmology (arXiv)

Summary: By means of the description of the standard relative dynamics in terms of gravito-electromagnetic fields, in the context of natural splitting, we formally introduce the gravito-magnetic Aharonov-Bohm effect. Then, we interpret the Sagnac effect as a gravito-magnetic Aharonov-Bohm effect and we exploit this formalism for studying the General Relativistic corrections to the Sagnac effect in stationary and axially symmetric geometries.

Matteo Luca Ruggiero
2010-07-22

100

Aharonov-Bohm quantum rings in high-Q microcavities

  Quantum Physics (arXiv)

Summary: A single-mode microcavity with an embedded Aharonov-Bohm quantum ring, which is pierced by a magnetic flux and subjected to a lateral electric field, is studied theoretically. It is shown that external electric and magnetic fields provide additional means of control of the emission spectrum of the system. In particular, when the magnetic flux through the quantum ring is equal to a half-integer number of the magnetic flux quantum, a small change in the lateral electric field allows tuning of the energy levels of the quantum ring into resonance with the microcavity mode providing an efficient way to control the quantum ring-microcavity coupling strength. Emission spectra of the system are calculated for several combinations of the applied magnetic and electric fields.

A. M. Alexeev; I. A. Shelykh; M. E. Portnoi
2013-02-08

101

Non-Abelian Vortices with an Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices -- vortex solutions with continuous internal orientational moduli -- provide an example. Here we study the effect of weakly gauging a U(1)_R subgroup of the flavor symmetry on such BPS vortex solutions. Our prototypical setting consists of an SU(2) x U(1) gauge theory with N_f=2 sets of fundamental scalars that break the gauge symmetry to an "electromagnetic" U(1). The weak U(1)_R gauging converts the well-known CP1 orientation modulus |B| of the non-Abelian vortex into a parameter characterizing the strength of the magnetic field that is responsible for the Aharonov-Bohm effect. As the phase of B remains a genuine zero mode while the electromagnetic gauge symmetry is Higgsed in the interior of the vortex, these solutions are superconducting strings.

Jarah Evslin; Kenichi Konishi; Muneto Nitta; Keisuke Ohashi; Walter Vinci
2013-12-23

102

Classical light analogue of the nonlocal Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: We demonstrate the existence of a non-local geometric phase in the intensity-intensity correlations of classical incoherent light, that is not seen in the lower order correlations. This two-photon Pancharatnam phase was observed and modulated in a Mach-Zehnder interferometer. Using acousto-optic interaction, independent phase noise was introduced to light in the two arms of the interferometer to create two independent incoherent classical sources from laser light. The experiment is the classical optical analogue of the multi-particle Aharonov-Bohm effect. As the trajectory of light over the Poincare sphere introduces a phase shift observable only in the intensity-intensity correlation, it provides a means of deflecting the two-photon wavefront, while having no effect on single photons.

Nandan Satapathy; Deepak Pandey; Poonam Mehta; Supurna Sinha; Joseph Samuel; Hema Ramachandran
2012-02-13

103

Dirac fermion in planar Coulomb and Aharonov--Bohm potentials

  CERN Preprints

Summary: Exact analytic solutions and the eigenenergies are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac equation which contains a new parameter introduced by Hagen to describe the spin of the spin-1/2 particle. We derive a transcendental equations that implicitly determine the energy spectrum of an electron near the negative-energy continuum boundary and the critical charges for some electron states. Fermion pair production from a vacuum by a strong Coulomb field in the presence of the magnetic flux tube of zero radius is considered. It is shown that the presence of the Ahanorov--Bohm flux tends to stabilize the system.

Khalilov, V R
2007-01-01

104

Broken unitarity and phase measurements in Aharonov-Bohm interferometers

  Condensed Matter (arXiv)

Summary: Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance which contains a term $\\cos(\\phi+\\beta)$, where $\\phi$ relates to the magnetic flux. Experiments with a quantum dot on one of the interfering paths aim to relate $\\beta$ to the dot's intrinsic Friedel transmission phase, $\\alpha_1$. For closed systems, which conserve the electron current (unitarity), the Onsager relation requires that $\\beta=0$. For open systems, we show that $\\beta$ depends in general on the details of the broken unitarity. Although it gives information on the resonances of the dot, $\\beta$ is generally not equal to $\\alpha_1$. A direct relation between $\\beta$ and $\\alpha_1$ requires specific ways of opening the system, which are discussed.

O. Entin-Wohlman; A. Aharony; Y. Imry; Y. Levinson; A. Schiller
2001-08-03

105

Nonlinear Aharonov-Bohm scattering by optical vortices

  Condensed Matter (arXiv)

Summary: We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what occurs in the scattered wave of electrons for the Aharonov-Bohm effect. For larger wave amplitudes, we study analytically and numerically the scattering of a dark-soliton stripe (a nonlinear analog of a small-amplitude wavepacket) by a vortex and observe a significant asymmetry of the scattered wave. Subsequently, a wavefront splitting of the scattered wave develops into transverse modulational instability, ``unzipping'' the stripe into trains of vortices with opposite charges.

Dragomir Neshev; Alexander Nepomnyashchy; Yuri S. Kivshar
2001-07-03

106

An Aharonov-Bohm interferometer for determining Bloch band topology

  Quantum Physics (arXiv)

Summary: The geometric structure of an energy band in a solid is fundamental for a wide range of many-body phenomena in condensed matter and is uniquely characterized by the distribution of Berry curvature over the Brillouin zone. In analogy to an Aharonov-Bohm interferometer that measures the magnetic flux penetrating a given area in real space, we realize an atomic interferometer to measure Berry flux in momentum space. We demonstrate the interferometer for a graphene-type hexagonal lattice, where it has allowed us to directly detect the singular $\\pi$ Berry flux localized at each Dirac point. We show that the interferometer enables one to determine the distribution of Berry curvature with high momentum resolution. Our work forms the basis for a general framework to fully characterize topological band structures and can also facilitate holonomic quantum computing through controlled exploitation of the geometry of Hilbert space.

Lucia Duca; Tracy Li; Martin Reitter; Immanuel Bloch; Monika Schleier-Smith; Ulrich Schneider
2014-07-21

107

Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We make a transformation from the noncommutative coordinates to a set of commuting coordinates and then we write the Hamiltonian for this system. The energy spectrum and the expectation value of the current can then be calculated and the Hall conductivity can be extracted. We use the same method to calculate the phase shift for the Aharonov-Bohm effect. Precession measurements could allow strong upper limits to be imposed on the noncommutativity coordinate and momentum parameters $\\Theta$ and $\\Xi$.

B. Harms; O. Micu
2007-01-07

108

Noncommutative analogue Aharonov-Bohm effect and superresonance

  HEP - Theory (arXiv)

Summary: We consider the idea of modeling a rotating acoustic black hole by an idealized draining bathtub vortex which is a planar circulating flow phenomenon with a sink at the origin. We find the acoustic metric for this phenomenon from a noncommutative Abelian Higgs model. As such the acoustic metric not only describes a rotating acoustic black hole but also inherits the noncommutative characteristic of the spacetime. We address the issues of superresonance and analogue Aharonov-Bohm (AB) effect in this background. We mainly show that the scattering of planar waves by a draining bathtub vortex leads to a modified AB effect and due to spacetime noncommutativity, the phase shift persists even in the limit where the parameters associated with the circulation and draining vanish. Finally, we also find that the analogue AB effect and superresonance are competing phenomena at a noncommutative spacetime.

M. A. Anacleto; F. A. Brito; E. Passos
2013-05-27

109

Universal Formula for the Expectation Value of the Radial Operator under the Aharonov-Bohm Flux and the Coulomb Field

  Quantum Physics (arXiv)

Summary: A useful and universal formula for the expectation value of the radial operator in the presence of the Aharonov-Bohm flux and the Coulomb Field is established. We find that the expectation value $< r^{\\lambda}>$ $(-\\infty \\leq \\lambda \\leq \\infty)$ is greatly affected due to the non-local effect of the magnetic flux although the Aharonov-Bohm flux does not have any dynamical significance in classical mechanics. In particular, the quantum fluctuation increases in the presence of the magnetic flux due to the Aharonov-Bohm effect. In addition, the Virial theory in quantum mechanics is also constructed for the spherically symmetric system under the Aharonov-Bohm effect.

W. F. Kao; Y. M. Kao; D. H. Lin
2002-10-14

110

Free and bound spin-polarized fermions in the fields of Aharonov--Bohm kind

  Quantum Physics (arXiv)

Summary: The scattering of electrons by an Aharonov--Bohm field is considered from the viewpoint of quantum-mechanical problem of constructing a self-adjoint Hamiltonian for the Pauli equation. The correct domain for the self-adjoint Hamiltonian, which takes into account explicitly the electron spin is found. A one-parameter self-adjoint extension of the Hamiltonian for spin-polarized electrons in the Aharonov--Bohm field is selected. The correct domain of the self-adjoint Hamiltonian can contain regular and singular (at the point ${\\bf r}=0$) square-integrable functions on the half-line with measure $rdr$. We argue that the physical reason of the existence of singular functions is the additional attractive potential, which appear due to the interaction between the spin magnetic moment of fermion and Aharonov--Bohm magnetic field. The scattering amplitude and cross section are obtained for spin-polarized electrons scattered by the Aharonov--Bohm field. It is shown that in some range of the extension parameter there appears a bound state. Since the Hamiltonian of the nonrelativistic Dirac--Pauli equation for a massive neutral fermion with the anomalous magnetic moment (AMM) in the electric field of a linear charge aligned perpendicularly to the fermion motion has the form of the Hamiltonian for the Pauli equation in the Aharonov--Bohm flux tube, we also calculate the scattering amplitude and cross section for the neutral fermion.

V. R. Khalilov; I. V. Mamsurov; Lee Ki Eun
2010-02-15

111

Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D Abelian Higgs Model

  HEP - Lattice (arXiv)

Summary: We discuss the Aharonov--Bohm effect in three and four dimensional non--compact lattice Abelian Higgs model. We show analytically that this effect leads to the long--range Coulomb interaction of the charged particles, which is confining in three dimensions. The Aharonov--Bohm effect is found in numerical calculations in 3D Abelian Higgs model.

M. N. Chernodub; F. V. Gubarev; M. I. Polikarpov
1996-07-20

112

Aharonov--Bohm effect, electrodynamics postulates, and Lorentz condition

  Quantum Physics (arXiv)

Summary: The problem of the relation between the Ahronov-Bohm effect and traditional postulates of electrodynamics, which claim that only electric and magnetic fields are observable, is resolved by denial of the statement about validity of the Maxwell equations for microscopic fields. We proceed from the idea that the Maxwell equations, as the generalization of experimental data, are valid only for averaged values. We show that microscopic electrodynamics should be based on postulation of the d'Alembert equations for four-vector of the electromagnetic field potential. The Lorentz condition is valid only for the averages and provides the implementation of the Maxwell equations for averages. This concept eliminates the problem of electromagnetic field quantization and provides the correctness of all known results of quantum electrodynamics. Therefore, the "virtuality" of the longitudinal and scalar photons has a formal mathematical character, conditioned by the Maxwell equations for averaged fields. The longitudinal and scalar photons provide not only the Coulomb interaction of charged particles, but also allow the electrical Aharonov-Bohm effect.

V. B. Bobrov; S. A. Trigger; G. J. F. van Heijst; P. P. J. M. Schram
2013-06-28

113

Aharonov-Bohm interferences from local deformations in graphene

  Quantum Physics (arXiv)

Summary: One of the most interesting aspects of graphene is the tied relation between structural and electronic properties. The observation of ripples in the graphene samples both free standing and on a substrate has given rise to a very active investigation around the membrane-like properties of graphene and the origin of the ripples remains as one of the most interesting open problems in the system. The interplay of structural and electronic properties is successfully described by the modelling of curvature and elastic deformations by fictitious gauge fields that have become an ex- perimental reality after the suggestion that Landau levels can form associated to strain in graphene and the subsequent experimental confirmation. Here we propose a device to detect microstresses in graphene based on a scanning-tunneling-microscopy setup able to measure Aharonov-Bohm inter- ferences at the nanometer scale. The interferences to be observed in the local density of states are created by the fictitious magnetic field associated to elastic deformations of the sample.

Fernando de Juan; Alberto Cortijo; María A. H. Vozmediano; Andrés Cano
2011-05-04

114

Loop Quantum Gravity a la Aharonov-Bohm

  General Relativity & Quantum Cosmology (arXiv)

Summary: The state space of Loop Quantum Gravity admits a decomposition into orthogonal subspaces associated to diffeomorphism equivalence classes of spin-network graphs. In this paper I investigate the possibility of obtaining this state space from the quantization of a topological field theory with many degrees of freedom. The starting point is a 3-manifold with a network of defect-lines. A locally-flat connection on this manifold can have non-trivial holonomy around non-contractible loops. This is in fact the mathematical origin of the Aharonov-Bohm effect. I quantize this theory using standard field theoretical methods. The functional integral defining the scalar product is shown to reduce to a finite dimensional integral over moduli space. A non-trivial measure given by the Faddeev-Popov determinant is derived. I argue that the scalar product obtained coincides with the one used in Loop Quantum Gravity. I provide an explicit derivation in the case of a single defect-line, corresponding to a single loop in Loop Quantum Gravity. Moreover, I discuss the relation with spin-networks as used in the context of spin foam models.

Eugenio Bianchi
2009-07-24

115

Aharonov-Bohm effect, local field interaction, and Lorentz invariance

  Quantum Physics (arXiv)

Summary: Aharonov-Bohm (AB) effect [1,2], known as a milestone in our understanding of electromagnetic interactions, describes a quantum interference of a charged particle moving under the influence of a potential. In sharp contrast with classical theory of electrodynamics, AB effect qualifies potential as a physical reality, rather than as a mere mathematical tool, because the interference is affected by a potential even when a charged particle moves in a field-free region. Aharonov-Casher (AC) effect [3], dual to the AB phenomenon, shows a phase shift of a fluxon moving around a charge (in two-dimensional case). It has been shown that AC effect is also free of force [4,5], but standard view draws a clear distinction between the two phenomena in that the fluxon moves under a nonvanishing field generated by the charge in the case of AC effect [6]. Despite the fact that the observable phenomena depend only on the relative motion of a charge and a fluxon, a unified picture, fully consistent with the principle of relativity, is lacking. Here, we provide a unified theory which resolves the question of relativity, based on a Lorentz-invariant field-interaction between a charge and a localized flux. The AB effect can be understood in this fully relativistic viewpoint. The AB phase shift is derived from the Lorentz-covariant interaction Lagrangian, and the force-free nature of the effect is also confirmed.

Kicheon Kang
2015-02-03

116

Force and impulse from an Aharonov-Bohm flux line

  Mathematical Physics (arXiv)

Summary: We calculate the force and impulse operators for a charged particle in the field of an Aharonov-Bohm flux line. The force operator is formally the Lorentz force, with the magnetic field operator modified to include quantum corrections due to anomolous commutation relations. Expectation values for stationary states are calculated. Nonstationary states are treated by integrating the force operator in time to obtain the impulse operator. Expectation values of the impulse are calculated for slow wavepackets (which spread faster than they move) and for fast wavepackets (which spread only negligibly before their closest approach to the flux line). We give two derivations of the force and impulse operators, the first a simple derivation based on formal arguments, and the second a rigorous calculation of wavepacket expectation values. We also show that the same expressions for the force and impulse are obtained if the flux line is enclosed in an impenetrable cylinder,or distributed uniformly over a flux cylinder, in the limit that the radius of the cylinder goes to zero.

J. P. Keating; J. M. Robbins
2002-12-06

117

Aharonov-Bohm effect, local field interaction, and Lorentz invariance

  Quantum Physics (arXiv)

Summary: Aharonov-Bohm (AB) effect [1,2], known as a milestone in our understanding of electromagnetic interactions, describes a quantum interference of a charged particle moving under the influence of a potential. In sharp contrast with classical theory of electrodynamics, AB effect qualifies potential as a physical reality, rather than as a mere mathematical tool, because the interference is affected by a potential even when a charged particle moves in a field-free region. Aharonov-Casher (AC) effect [3], dual to the AB phenomenon, shows a phase shift of a fluxon moving around a charge (in two-dimensional case). It has been shown that AC effect is also free of force [4,5], but standard view draws a clear distinction between the two phenomena in that the fluxon moves under a nonvanishing field generated by the charge in the case of AC effect [6]. Despite the fact that the observable phenomena depend only on the relative motion of a charge and a fluxon, a unified picture, fully consistent with the principle of relativity, is lacking. Here, we provide a unified theory which resolves the question of relativity, based on a Lorentz-invariant field-interaction between a charge and a localized flux. The AB effect can be understood in this fully relativistic viewpoint. The AB phase shift is derived from the Lorentz-covariant interaction Lagrangian, and the force-free nature of the effect is also confirmed.

Kicheon Kang
2013-08-09

118

Aharonov-Bohm interferences from local deformations in graphene

  CERN Preprints

Summary: One of the most interesting aspects of graphene is the tied relation between structural and electronic properties. The observation of ripples in the graphene samples both free standing and on a substrate has given rise to a very active investigation around the membrane-like properties of graphene and the origin of the ripples remains as one of the most interesting open problems in the system. The interplay of structural and electronic properties is successfully described by the modelling of curvature and elastic deformations by fictitious gauge ?elds that have become an ex- perimental reality after the suggestion that Landau levels can form associated to strain in graphene and the subsequent experimental con?rmation. Here we propose a device to detect microstresses in graphene based on a scanning-tunneling-microscopy setup able to measure Aharonov-Bohm inter- ferences at the nanometer scale. The interferences to be observed in the local density of states are created by the ?ctitious magnetic ?eld associated t...

de Juan, Fernando; Vozmediano, María A H; Cano, Andrés
2011-01-01

119

Quantum motion in superposition of Aharonov-Bohm with some additional electromagnetic fields

  Quantum Physics (arXiv)

Summary: The structure of additional electromagnetic fields to the Aharonov-Bohm field, for which the Schr\\"odinger, Klein-Gordon, and Dirac equations can be solved exactly are described and the corresponding exact solutions are found. It is demonstrated that aside from the known cases (a constant and uniform magnetic field that is parallel to the Aharonov-Bohm solenoid, a static spherically symmetrical electric field, and the field of a magnetic monopole), there are broad classes of additional fields. Among these new additional fields we have physically interesting electric fields acting during a finite time, or localized in a restricted region of space. There are additional time-dependent uniform and isotropic electric fields that allow exact solutions of the Schrodinger equation. In the relativistic case there are additional electric fields propagating along the Aharonov-Bohm solenoid with arbitrary electric pulse shape.

V. G. Bagrov; D. M. Gitman; A. D. Levin
2011-03-29

120

Entanglement between static and flying qubits in an Aharonov-Bohm double electrometer

  Quantum Physics (arXiv)

Summary: We consider the phase-coherent transport of electrons passing through an Aharonov-Bohm ring while interacting with a tunnel charge in a double quantum dot (representing a charge qubit) which couples symmetrically to both arms of the ring. For Aharonov-Bohm flux Phi_AB=h/2e we find that electrons can only be transmitted when they flip the charge qubit's pseudospin parity an odd number of times. The perfect correlations of the dynamics of the pseudospin and individual electronic transmission and reflection events can be used to entangle the charge qubit with an individual passing electron.

Henning Schomerus; John P. Robinson
2007-10-31

121

The Crucial Role of Inert Source in the Magnetic Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: The role of the inert magnetic source used in the Tonomura experiment that has confirmed the magnetic Aharonov-Bohm effect is discussed. For this purpose, an analysis of a thought experiment is carried out. Here the permanent magnet is replaced by a classical source which is made of an ideal coil. A detailed calculation of this noninert source proves that in this case the effect disappears. This outcome provides another support for the crucial role of an inert source in the Aharonov-Bohm effect. A new aspect of quantum nonlocality is pointed out.

E. Comay
2009-10-17

122

Internal Frame Dragging and a Global Analog of the Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: It is shown that the breakdown of a {\\it global} symmetry group to a discrete subgroup can lead to analogues of the Aharonov-Bohm effect. At sufficiently low momentum, the cross-section for scattering of a particle with nontrivial $\\Z_2$ charge off a global vortex is almost equal to (but definitely different from) maximal Aharonov-Bohm scattering; the effect goes away at large momentum. The scattering of a spin-1/2 particle off a magnetic vortex provides an amusing experimentally realizable example.

John March-Russell; John Preskill; Frank Wilczek
1991-12-19

123

Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: We construct a classical action for a system of $N$ point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss' constraint in an appropriately chosen gauge, we obtain a quantum mechanical Hamiltonian given in terms of the Knizhnik-Zamolodchikov connection. Then we study the non-Abelian Aharonov-Bohm effect, employing the obtained Hamiltonian for two-particle sector. An explicit evaluation of the differential cross section for the non-Abelian Aharonov-Bohm scattering is given.

Taejin Lee; Phillial Oh
1993-12-20

124

A Simple Proof of Magnetic and Electric Aharonov-Bohm Effects

  Mathematical Physics (arXiv)

Summary: Magnetic Aharonov-Bohm effect (AB effect) was studied in hundreds of papers starting with the seminal paper of Aharonov and Bohm [AB] published in 1959. We give a new proof of the magnetic Aharonov-Bohm effect without using the scattering theory and the theory of inverse boundary value problems. We consider separately the cases of one and several obstacles. The electric AB effect was studied much less. We give the first proof of the electric AB effect in domains with moving boundaries. When the boundary does not move with the time the electric AB effect is absent.

Gregory Eskin
2014-07-20

125

Aharonov-Bohm scattering of neutral atoms with induced electric dipole moments

  Quantum Physics (arXiv)

Summary: We investigate the scattering of neutral polarizable atoms from an electrically charged wire placed in a homogeneous magnetic field. The atoms carry an induced electric dipole. The reflecting wire is discussed. We calculate the scattering amplitude and cross section the practically more important case that atoms are totally absorbed at the surface of the wire. If the magnetic field is present, there is a dominating Aharonov-Bohm peak in the forward direction followed by decreasing oscillations for larger angles. An experimental realization of this modulated Aharonov-Bohm scattering should be possible.

Juergen Audretsch; Vladimir Skarzhinsky
1998-02-25

126

Solutions of relativistic wave equations in superpositions of Aharonov-Bohm, magnetic, and electric fields

  CERN Preprints

Summary: We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein-Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov-Bohm solenoid field and some additional electric and magnetic fields. In particular, as such additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special non-uniform fields. The solutions obtained can be useful to study Aharonov-Bohm effect in the corresponding electromagnetic fields.

Bagrov, V G; Tlyachev, V B
2001-01-01

127

The Aharonov-Bohm effect in spectral asymptotics of the magnetic Schrödinger operator

  Mathematical Physics (arXiv)

Summary: We show that in the absence of a magnetic field the spectrum of the magnetic Schr\\"odinger operator in an annulus depends on the cosine of the flux associated with the magnetic potential. This result follows from an analysis of a singularity in the wave trace for this Schr\\"odinger operator, and hence shows that even in the absence of a magnetic field the magnetic potential can change the asymptotics of the Schr\\"odinger spectrum, i.e. the Aharonov-Bohm effect takes place. We also study the Aharonov-Bohm effect for the magnetic Schr\\"odinger operator on a torus.

Gregory Eskin; James Ralston
2013-12-12

128

Quantum Faraday Effect in Double-Dot Aharonov-Bohm Ring

  Quantum Physics (arXiv)

Summary: We investigate Faraday's law of induction manifested in the quantum state of Aharonov-Bohm loops. In particular, we propose a flux-switching experiment for a double-dot AB ring to verify the phase shift induced by Faraday's law. We show that the induced {\\em Faraday phase} is geometric and nontopological. Our study demonstrates that the relation between the local phases of a ring at different fluxes is not arbitrary but is instead determined by Faraday's inductive law, which is in strong contrast to the arbitrary local phase of an Aharonov-Bohm ring for a given flux.

Kicheon Kang
2011-02-25

129

On the Path Integral Treatment for an Aharonov-Bohm Field on the Hyperbolic Plane

  Quantum Physics (arXiv)

Summary: In this paper I discuss by means of path integrals the quantum dynamics of a charged particle on the hyperbolic plane under the influence of an Aharonov-Bohm gauge field. The path integral can be solved in terms of an expansion of the homotopy classes of paths. I discuss the interference pattern of scattering by an Aharonov-Bohm gauge field in the flat space limit, yielding a characteristic oscillating behavior in terms of the field strength. In addition, the cases of the isotropic Higgs-oscillator and the Kepler-Coulomb potential on the hyperbolic plane are shortly sketched.

Christian Grosche
1998-08-27

130

The Aharonov-Bohm effect: A quantum or a relativistic phenomenon?

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm effect is considered by most authors as a quantum effect, but a generally accepted explanation does not seem to be available. The phenomenon is studied here under the assumption that hypothetical electric dipole distributions configured by moving charges in the solenoid act on the electrons as test particles. The relative motions of the interacting charged particles introduce relativistic time dilations. The massless dipoles are postulated as part of an impact model that has recently been proposed to account for the far-reaching electrostatic forces between charged particles described by Coulomb's law. The model provides a quantitative explanation of the Aharonov-Bohm effect.

K. Wilhelm; B. N. Dwivedi
2014-08-23

131

Carbon nanotubes in confined magneticCarbon nanotubes in confined magnetic fields: AharonovBohm oscillations andfields: AharonovBohm oscillations and

  Physics Websites

Summary: .yambo-code.org/andreahttp://www.yambo-code.org/andrea #12;The Aharonov-Bohm effect No trajectory dependence Significance of Electromagnetic Potentials;The AB effect in carbon nano-tubes (CNTs) A. Bachtold et al., Nature 397, 673 (1999) S. Zaric et al correction #12;Single-wall tubes: (5,5) and (8,0) Lorentz correctionLorentz correction Measured elemental

Marini, Andrea

132

Comments on ``Differential cross section for Aharonov-Bohm effect with nonstandard boundary conditions''

  Quantum Physics (arXiv)

Summary: We show that the violation of rotational symmetry for differential cross section for Aharonov-Bohm effect with nonstandard boundary conditions has been known for some time. Moreover, the results were applied to discuss the Hall effect and persistent currents of fermions in a plane pierced by a flux tube.

Alexander Moroz
1999-07-14

133

Adiabatic analysis of the Landau Hamiltonian driven by a time-dependent Aharonov-Bohm

  Mathematics Websites

Summary: Adiabatic analysis of the Landau Hamiltonian driven by a time-dependent Aharonov-Bohm ux J. Asch 1 a puncture. We discuss the meaning of the propagator and show that an adiabatic approximation is valid [3] used an adiabatic limit of the model (with additional randomness) to introduce indices


134

On the feasibility of detecting an Aharonov-Bohm phase shift in neutral matter

  Physics Websites

Summary: this prediction and describe our proposed experiment. In this feasibility study we show that by applyingOn the feasibility of detecting an Aharonov-Bohm phase shift in neutral matter Yuki Sato and Richard Packard Department of Physics, University of California, Berkeley, California 94720, USA E

Packard, Richard E.

135

Resolvent Convergence in Norm for Dirac Operator with Aharonov--Bohm Field

  Mathematics Websites

Summary: particles moving in the Aharonov--Bohm magnetic field in two dimensions. The field has #--like singularity is di#erent even for small perturbation of scalar potentials according to the values of magnetic fluxes. It changes at half--integer fluxes. The method is based on the resolvent analysis at low energy on magnetic


136

Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach

  HEP - Theory (arXiv)

Summary: We apply the coherent state approach to study Aharonov-Bohm effect in the field theory context. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, we have logarithmic singularities as the noncommutative parameter tends to zero. Thus, the inclusion of a quartic self-interaction for the scalar field is necessary to obtain a smooth commutative limit.

M. A. Anacleto; J. R. Nascimento; A. Yu. Petrov
2005-12-22

137

Eigenvalue estimates for the Aharonov-Bohm operator in a domain

  Mathematical Physics (arXiv)

Summary: We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present a counterexample to the generalized diamagnetic inequality which was proposed by Erdos, Loss and Vougalter. Numerical studies complement these results.

Rupert L. Frank; Anders Hansson
2007-10-04

138

Electron-positron pair production in the Aharonov-Bohm potential

  Quantum Physics (arXiv)

Summary: In the framework of QED we evaluate the cross section for electron-positron pair production by a single photon in the presence of the external Aharonov-Bohm potential in first order of perturbation theory. We analyse energy, angular and polarization distributions at different energy regimes: near the threshold and at high photon energies.

V. D. Skarzhinsky; J. Audretsch; Ulf. Jasper
1997-09-18

139

The phase of Hidden Momentum in Aharonov-Bohm solenoid effect

  Quantum Physics (arXiv)

Summary: It is shown that the phase of the hidden momentum in Aharonov-Bohm (AB) solenoid effect is equal in magnitude to the phase of the electron but with opposite sign. The phase of the hidden momentum is equal to that obtained by the energy of interference calculated in our previous paper (J.Opt.Soc.Am. B 17, 2052 2000).

Y. Ben-Aryeh
2012-01-03

140

On the scattering amplitude in the Aharonov-Bohm gauge field

  HEP - Theory (arXiv)

Summary: A general expression for the scattering amplitude of nonrelativistic spinless particles in the Aharonov-Bohm gauge potential is obtained within the time independent formalism. The result is valid also in the backward and forward directions as well as for any choice of the boundary conditions on the wave function at the flux tube position.

Paola Giacconi; Fabio Maltoni; Roberto Soldati
1995-09-01

141

PHYSICAL REVIEW B 85, 165434 (2012) Patterns of the Aharonov-Bohm oscillations in graphene nanorings

  Physics Websites

Summary: crystallographic terminations and corner geometries in graphene) used in the latter, in conjunctionPHYSICAL REVIEW B 85, 165434 (2012) Patterns of the Aharonov-Bohm oscillations in graphene 2012; published 17 April 2012) Using extensive tight-binding calculations, we investigate (including

Yannouleas, Constantine

142

A Tunable Fano System Realized in a Quantum Dot in an Aharonov-Bohm Ring

  Materials Science Websites

Summary: A Tunable Fano System Realized in a Quantum Dot in an Aharonov-Bohm Ring K. Kobayashi, H. Aikawa, S-8581, Japan Abstract. We report a tunable Fano system realized in a quantum dot embedded in an Aharonov tunneling spectroscopy study of an atom on the surface [7, 8] or in transport through a quantum dot (QD) [9

Katsumoto, Shingo

143

The Interference Term in the Wigner Distribution Function and the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: A phase space representation of the Aharonov-Bohm effect is presented. It shows that the shift of interference fringes is associated to the interference term of the Wigner distribution function of the total wavefunction, whereas the interference pattern is defined by the common projections of the Wigner distribution functions of the interfering beams

Daniela Dragoman
2004-02-23

144

Stokes' theorem, gauge symmetry and the time-dependent Aharonov-Bohm effect

  Mathematical Physics (arXiv)

Summary: Stokes' theorem is investigated in the context of the time-dependent Aharonov-Bohm effect -- the two-slit quantum interference experiment with a time varying solenoid between the slits. The time varying solenoid produces an electric field which leads to an additional phase shift which is found to exactly cancel the time-dependent part of the usual magnetic Aharonov-Bohm phase shift. This electric field arises from a combination of a non-single valued scalar potential and/or a 3-vector potential. The gauge transformation which leads to the scalar and 3-vector potentials for the electric field is non-single valued. This feature is connected with the non-simply connected topology of the Aharonov-Bohm set-up. The non-single valued nature of the gauge transformation function has interesting consequences for the 4-dimensional Stokes' theorem for the time-dependent Aharonov-Bohm effect. An experimental test of these conclusions is proposed.

James Macdougall; Douglas Singleton
2014-03-11

145

Aharonov-Bohm Scattering of a Localized Wave Packet: Analysis of the Forward Direction

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm scattering of a localized wave packet is considered. A careful analysis of the forward direction points out new results: according to the time-dependent solution obtained by means of the asymptotic representation for the propagator (kernel), a phenomenon of auto-interference occurs along the forward direction, where, also, the probability density current is evaluated and found finite.

Davide Stelitano
1994-11-23

146

Differential cross section for Aharonov--Bohm effect with non standard boundary conditions

  Quantum Physics (arXiv)

Summary: A basic analysis is provided for the differential cross section characterizing Aharonov--Bohm effect with non standard (non regular) boundary conditions imposed on a wave function at the potential barrier. If compared with the standard case two new features can occur: a violation of rotational symmetry and a more significant backward scattering.

P. Stovicek; O. Vana
1998-10-23

147

Modular Momentum of the Aharonov-Bohm Effect on Noncommutative Lattices

  Mathematical Physics (arXiv)

Summary: Based on the technique of noncommutative geometry, it is shown that, by means of the concept of the theta quantization, there is an equivalence between the notion of the modular momentum of the Aharonov-Bohm effect and the notion of a noncommutative lattice over a circle poset.

Takeo Miura
2012-07-23

148

Bound States of the Hydrogen Atom in the Presence of a Magnetic Monopole Field and an Aharonov-Bohm Potential

  HEP - Theory (arXiv)

Summary: In the present article we analyze the bound states of an electron in a Coulomb field when an Aharonov-Bohm field as well as a magnetic Dirac monopole are present. We solve, via separation of variables, the Schr\\"odinger equation in spherical coordinates and we show how the Hydrogen energy spectrum depends on the Aharonov-Bohm and the magnetic monopole strengths. In passing, the Klein-Gordon equation is solved.

Victor M. Villalba
1994-09-19

149

A symmetry-protected many-body Aharonov-Bohm effect

  CERN Preprints

Summary: It is known as a purely quantum effect that a magnetic flux affects the real physics of a particle, such as the energy spectrum, even if the flux does not interfere with the particle's path - the Aharonov-Bohm effect. Here we examine an Aharonov-Bohm effect on a many-body wavefunction. Specifically, we study this many-body effect on the gapless edge states of a bulk gapped phase protected by a global symmetry - the symmetry protected topological (SPT) states. The many-body analogue of spectral shifts, the twisted wavefunction and the twisted boundary realization are identified in this SPT state. An explicit lattice construction of SPT edge states is derived, and a challenge of gauging its non-onsite symmetry is overcome. Agreement is found in the twisted spectrum between a numerical lattice calculation and a conformal field theory prediction.

Santos, Luiz H
2014-01-01

150

Against a proposed alternative explanation of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm effect is understood to demonstrate that the Maxwell fields can act nonlocally in some situations. However it has been suggested from time to time that the AB effect is somehow a consequence of a local classical electromagnetic field phenomenon involving energy that is temporarily stored in the overlap between the external field and the field of which the beam particle is the source. That idea was shown in the past not to work for some models of the source of the external field. Here a more general proof is presented for the magnetic AB effect to show that the overlap energy is always compensated by another contribution to the energy of the magnetic field in such a way that the sum of the two is independent of the external flux. Therefore no such mechanism can underlie the Aharonov-Bohm effect.

Murray Peshkin
2010-09-08

151

Parity Violation in Aharonov-Bohm Systems: The Spontaneous Hall Effect

  HEP - Theory (arXiv)

Summary: We show how macroscopic manifestations of $P$ (and $T$) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux tubes is taken to be of a purely Aharonov-Bohm type. We find that the system exhibits a non-zero transverse conductivity, i.e., a spontaneous Hall effect. This is in contrast with the fact that the cross sections for both scattering and bremsstrahlung (soft photon emission) of a single electron from a flux tube are invariant under reflections. We argue that the asymmetry in the conductivity coefficients arises from many-body effects. On the other hand, the transverse conductivity has the same dependence on universal constants that appears in the Quantum Hall Effect, a result that we relate to the validity of the Mean Field approximation.

R. Emparan; M. A. Valle Basagoiti
1993-12-21

152

The time-dependent non-Abelian Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: In this article, we study the {\\it time-dependent} Aharonov-Bohm effect for non-Abelian gauge fields. We use two well known time-dependent solutions to the Yang-Mills field equations to investigate the Aharonov-Bohm phase shift. For both of the solutions, we find a cancellation between the phase shift coming from the non-Abelian "magnetic" field and the phase shift coming from the non-Abelian "electric" field, which inevitably arises in time-dependent cases. We compare and contrast this cancellation for the time-dependent non-Abelian case to a similar cancellation which occurs in the time-dependent Abelian case. We postulate that this cancellation occurs generally in time-dependent situations for both Abelian and non-Abelian fields.

Max Bright; Douglas Singleton
2015-01-16

153

The Aharonov-Bohm effect in scattering of nonrelativistic electrons by a penetrable magnetic vortex

  Mathematical Physics (arXiv)

Summary: Quantum-mechanical theory for scattering of nonrelativistic charged particles with spin by a penetrable magnetic vortex is elaborated. The scattering differential cross section is shown to consist of two terms, one describing diffraction on the vortex in the forward direction and another one describing penetration through the vortex. The Aharonov-Bohm effect is manifested as a fringe shift in the diffraction pattern. The penetration effect is analyzed for the case of the uniform distribution of the magnetic field strength inside the vortex. We find that the penetrability of the magnetic vortex does not affect the diffraction pattern, and, hence, the Aharonov-Bohm effect is the same for a penetrable vortex as for an impenetrable one.

Yurii A. Sitenko
2014-05-28

154

Nonrelativistic Limit of the Scalar Chern-Simons Theory and the Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We study the nonrelativistic limit of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. The renormalization of the relativistic model, in the Coulomb gauge, is discussed. We employ a procedure to calculate scattering amplitudes for low momenta that generates their $|p|/m$ expansion and separates the contributions coming from high and low energy intermediary states. The two body scattering amplitude is calculated up to order $p^2/m^2$. It is shown that the existence of a critical value of the self-interaction parameter for which the 2-particle scattering amplitude reduces to the Aharonov-Bohm one is a strictly nonrelativistic feature. The subdominant terms correspond to relativistic corrections to the Aharonov-Bohm scattering. A nonrelativistic reduction scheme and an effective nonrelativistic Lagrangian to account for the relativistic corrections are proposed.

M. Gomes; J. M. C. Malbouisson; A. J. da Silva
1998-01-28

155

Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects

  HEP - Theory (arXiv)

Summary: After discussing the peculiarities of quantum systems on noncommutative (NC) spaces with non-trivial topology and the operator representation of the $\\star$-product on them, we consider the Aharonov-Bohm and Casimir effects for such spaces. For the case of the Aharonov-Bohm effect, we have obtained an explicit expression for the shift of the phase, which is gauge invariant in the NC sense. The Casimir energy of a field theory on a NC cylinder is divergent, while it becomes finite on a torus, when the dimensionless parameter of noncommutativity is a rational number. The latter corresponds to a well-defined physical picture. Certain distinctions from other treatments based on a different way of taking the noncommutativity into account are also discussed.

M. Chaichian; A. Demichev; P. Presnajder; M. M. Sheikh-Jabbari; A. Tureanu
2001-07-07

156

The time-dependent non-Abelian Aharonov-Bohm effect

  CERN Preprints

Summary: In this article, we study the {\\it time-dependent} Aharonov-Bohm effect for non-Abelian gauge fields. We use two well known time-dependent solutions to the Yang-Mills field equations to investigate the Aharonov-Bohm phase shift. For both of the solutions, we find a cancellation between the phase shift coming from the non-Abelian "magnetic" field and the phase shift coming from the non-Abelian "electric" field, which inevitably arises in time-dependent cases. We compare and contrast this cancellation for the time-dependent non-Abelian case to a similar cancellation which occurs in the time-dependent Abelian case. We postulate that this cancellation occurs generally in time-dependent situations for both Abelian and non-Abelian fields.

Bright, Max
2015-01-01

157

Generalised boundary conditions for the Aharonov-Bohm e ect combined with

  Mathematics Websites

Summary: #28;eld P. Exner 1;3 , P. â??´oví£ek 2;3 , P. Vyt°as 2 1 Nuclear Physics Institute, Academy of Sciences, 250 68 �eº near Prague, Czech Republic 2 Department of Mathematics, Faculty of Nuclear Science, Czech-parameter family of boundary conditions; other two parameters of the model are the Aharonov-Bohm #29;ux


158

On the Electric Charge Quantization from the Dirac-Aharonov-Bohm Potential

  Quantum Physics (arXiv)

Summary: The purpose of this paper is to show that, under certain restrictions, we can take a Dirac-Aharonov-Bohm potential as a pure gauge field. We argue that a modified quantization condition comes out for the electric charge that may open up the way for the understanding of fractional charges. One does not need any longer to rely on the existence of a magnetic monopole to justify electric charge quantization.

F. A. Barone; J. A. Helayel-Neto
2005-03-28

159

The Aharonov-Bohm effect: the role of tunneling and associated forces

  CERN Preprints

Summary: Through tunneling, small wavefunction tails can enter a finitely shielded cylinder with a magnetic field inside. When the shielding increases to infinity the Lorentz force goes to zero together with these tails. However, it is shown, by considering the radial derivative of the wavefunction on the cylinder surface, that a flux dependent force remains. This force explains in a natural way the Aharonov-Bohm effect in the idealized case of infinite shielding.

Hegerfeldt, G C
2008-01-01

160

The Aharonov-Bohm effect: the role of tunneling and associated forces

  Quantum Physics (arXiv)

Summary: Through tunneling, or barrier penetration, small wavefunction tails can enter a finitely shielded cylinder with a magnetic field inside. When the shielding increases to infinity the Lorentz force goes to zero together with these tails. However, it is shown, by considering the radial derivative of the wavefunction on the cylinder surface, that a flux dependent force remains. This force explains in a natural way the Aharonov-Bohm effect in the idealized case of infinite shielding.

G. C. Hegerfeldt; J. T. Neumann
2008-02-27

161

Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: Partial wave theory of a two dimensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard disk'' like potential and the magnetic flux is examined. Since the nonlocal influence of magnetic flux on the charged particles is universal, the nonlocal effect in hard disk case is expected to appear in quite general potential system and will be useful in understanding some phenomena in mesoscopic phyiscs.

de-Hone Lin
2003-11-05

162

On the alleged nonlocal and topological nature of the molecular Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The nonlocal and topological nature of the molecular Aharonov-Bohm (MAB) effect is examined for real electronic Hamiltonians. A notion of preferred gauge for MAB is suggested. The MAB effect in the linear + quadratic $E\\otimes \\epsilon$ Jahn-Teller system is shown to be essentially analogues to an anisotropic Aharonov-Casher effect for an electrically neutral spin$-{1/2}$ particle encircling a certain configuration of lines of charge.

Erik Sjöqvist
2003-10-31

163

The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions

  HEP - Theory (arXiv)

Summary: By using the spherical coordinates in 3+1 dimensions we study the self-adjointness of the Dirac Hamiltonian in an Aharonov-Bohm gauge field of an infinitely thin magnetic flux tube. It is shown that the angular part of the Dirac Hamiltonian requires self-adjoint extensions as well as its radial one. The self-adjoint extensions of the angular part are parametrized by 2x2 unitary matrix.

Kazuhiko Odaka; Kazuya Satoh
1996-04-16

164

The Aharonov-Bohm effect in scattering of short-wavelength particles

  Quantum Physics (arXiv)

Summary: Quantum-mechanical scattering of nonrelativistic charged particles by a magnetic vortex of nonzero transverse size is considered. We show that the flux of the vortex serves as a gate for the strictly forward propagation of particles with short, as compared to the transverse size of the vortex, wavelengths; this effect is the same for a penetrable vortex as for an impenetrable one. A possibility for the experimental detection of the scattering Aharonov-Bohm effect is discussed.

Yu. A. Sitenko; N. D. Vlasii
2012-03-25

165

Bound states of massive fermions in the Aharonov--Bohm-like fields

  CERN Preprints

Summary: Bound states of massive fermions in the Aharonov-Bohm like fields have analytically been studied. The Hamiltonians with the Aharonov--Bohm like potentials are essentially singular and therefore require specification of a one-parameter self-adjoint extension. We construct self-adjoint Dirac Hamiltonians with the Aharonov-Bohm (AB) potential in 2+1 dimensions that are specified by boundary conditions at the origin. It is of interest that for some range of extension parameter the AB potential can bind relativistic charged massive fermions. The bound-state energy is determined by the AB magnetic flux and depends upon fermion spin and extension parameter; it is a periodical function of the magnetic flux. We also construct self-adjoint Hamiltonians for the so-called Aharonov-Casher (AC) problem, show that nonrelativistic neutral massive fermions can be bound by the Aharonov-Casher background, determine the range of extension parameter in which fermion bound states exist and find their energies as well as wave funct...

Khalilov, V R
2014-01-01

166

Bound states of massive fermions in the Aharonov--Bohm-like fields

  HEP - Theory (arXiv)

Summary: Bound states of massive fermions in the Aharonov-Bohm like fields have analytically been studied. The Hamiltonians with the Aharonov--Bohm like potentials are essentially singular and therefore require specification of a one-parameter self-adjoint extension. We construct self-adjoint Dirac Hamiltonians with the Aharonov-Bohm (AB) potential in 2+1 dimensions that are specified by boundary conditions at the origin. It is of interest that for some range of extension parameter the AB potential can bind relativistic charged massive fermions. The bound-state energy is determined by the AB magnetic flux and depends upon fermion spin and extension parameter; it is a periodical function of the magnetic flux. We also construct self-adjoint Hamiltonians for the so-called Aharonov-Casher (AC) problem, show that nonrelativistic neutral massive fermions can be bound by the Aharonov-Casher background, determine the range of extension parameter in which fermion bound states exist and find their energies as well as wave functions.

V. R. Khalilov
2014-01-16

167

Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential

  CERN Preprints

Summary: In this work we study modifications in the Aharonov-Bohm effect for relativistic spin 1/2 particles due to the noncommutativity of spacetime in $2 + 1$ dimensions. The noncommutativity gives rise to a correction to the Aharonov-Bohm potential which is highly singular at the origin, producing divergences in a perturbative expansion around the usual solution of the free Dirac equation. This problem is surmounted by using a perturbative expansion around the exact solution of the \\textit{commutative} Aharonov-Bohm problem. We calculate, in this setting, the scattering amplitude and the corrections to the differential and total cross sections for a spin 1/2 particle, in the small-flux limit.

Ferrari, A F; Stechhahn, C A
2007-01-01

168

Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential

  HEP - Theory (arXiv)

Summary: In this work we study modifications in the Aharonov-Bohm effect for relativistic spin 1/2 particles due to the noncommutativity of spacetime in $2 + 1$ dimensions. The noncommutativity gives rise to a correction to the Aharonov-Bohm potential which is highly singular at the origin, producing divergences in a perturbative expansion around the usual solution of the free Dirac equation. This problem is surmounted by using a perturbative expansion around the exact solution of the \\textit{commutative} Aharonov-Bohm problem. We calculate, in this setting, the scattering amplitude and the corrections to the differential and total cross sections for a spin 1/2 particle, in the small-flux limit.

A. F. Ferrari; M. Gomes; C. A. Stechhahn
2007-08-28

169

The Aharonov-Bohm Effect and Tonomura et al. Experiments. Rigorous Results

  Mathematical Physics (arXiv)

Summary: We study the Aharonov-Bohm effect under the conditions of the Tonomura et al. experiments, that gave a strong evidence of the physical existence of the Aharonov-Bohm effect, and we give the first rigorous proof that the classical Ansatz of Aharonov and Bohm is a good approximation to the exact solution of the Schroedinger equation. We provide a rigorous, quantitative, error bound for the difference in norm between the exact solution and the approximate solution given by the Aharonov-Bohm Ansatz. Our error bound is uniform in time. Using the experimental data, we rigorously prove that the results of the Tonomura et al. experiments, that were predicted by Aharonov and Bohm, actually follow from quantum mechanics. Furthermore, our results show that it would be quite interesting to perform experiments for intermediate size electron wave packets (smaller than the ones used in the Tonomura et al. experiments, that were much larger than the magnet) whose variance satisfies appropriate lower and upper bounds that we provide. One could as well take a larger magnet. In this case, the interaction of the electron wave packet with the magnet is negligible -the probability that the electron wave packet interacts with the magnet is smaller than $10^{-199}$- and, moreover, quantum mechanics predicts the results observed by Tonomura et al. with an error bound smaller than $10^{-99}$, in norm. Our error bound has a physical interpretation. For small variances it is due to Heisenberg's uncertainty principle and for large variances to the interaction with the magnet.

Miguel Ballesteros; Ricardo Weder
2009-03-15

170

A charged particle in a homogeneous magnetic field accelerated by a time periodic Aharonov-Bohm flux

  Mathematical Physics (arXiv)

Summary: We consider a nonrelativistic quantum charged particle moving on a plane under the influence of a uniform magnetic field and driven by a periodically time-dependent Aharonov-Bohm flux. We observe an acceleration effect in the case when the Aharonov-Bohm flux depends on time as a sinusoidal function whose frequency is in resonance with the cyclotron frequency. In particular, the energy of the particle increases linearly for large times. An explicit formula for the acceleration rate is derived with the aid of the quantum averaging method, and then it is checked against a numerical solution with a very good agreement.

T. Kalvoda; P. Stovicek
2011-07-14

171

The Sagnac Effect in curved space-times from an analogy with the Aharonov-Bohm Effect

  General Relativity & Quantum Cosmology (arXiv)

Summary: In the context of the natural splitting, the standard relative dynamics can be expressed in terms of gravito-electromagnetic fields, which allow to formally introduce a gravito-magnetic Aharonov-Bohm effect. We showed elsewhere that this formal analogy can be used to derive the Sagnac effect in flat space-time as a gravito-magnetic Aharonov-Bohm effect. Here, we generalize those results to study the General Relativistic corrections to the Sagnac effect in some stationary and axially symmetric geometries, such as the space-time around a weakly gravitating and rotating source, Kerr space-time, G\\"{odel} universe and Schwarzschild space-time.

Matteo Luca Ruggiero
2005-10-28

172

Quantum Measurement and the Aharonov-Bohm Effect with Superposed Magnetic Fluxes

  Quantum Physics (arXiv)

Summary: We consider the magnetic flux in a quantum mechanical superposition of two values and find that the Aharonov-Bohm effect interference pattern contains information about the nature of the superposition, allowing information about the state of the flux to be extracted without disturbance. The information is obtained without transfer of energy or momentum and by accumulated nonlocal interactions of the vector potential $\\vec{A}$ with many charged particles forming the interference pattern, rather than with a single particle. We suggest an experimental test using already experimentally realized superposed currents in a superconducting ring and discuss broader implications.

Ka?a Bradonji?; John D. Swain
2011-03-08

173

Characteristic decay of the autocorrelation functions prescribed by the Aharonov-Bohm time operator

  Quantum Physics (arXiv)

Summary: The wave functions, the autocorrelation functions of which decay faster than $t^{-2}$, for both the one-dimensional free particle system and the repulsive-potential system are examined. It is then shown that such wave functions constitute a dense subset of $L^2 ({\\bf R}^1)$, under several conditions that are particularly satisfied by the square barrier potential system. It implies that the faster than $t^{-2}$-decay character of the autocorrelation function persists against the perturbation of potential. It is also seen that the denseness of the above subset is guaranteed by that of the domain of the Aharonov-Bohm time operator.

Manabu Miyamoto
2001-05-13

174

Scattering of spin-polarized electron in an Aharonov--Bohm potential

  Mathematical Physics (arXiv)

Summary: The scattering of spin-polarized electrons in an Aharonov--Bohm vector potential is considered. We solve the Pauli equation in 3+1 dimensions taking into account explicitly the interaction between the three-dimensional spin magnetic moment of electron and magnetic field. Expressions for the scattering amplitude and the cross section are obtained for spin-polarized electron scattered off a flux tube of small radius. It is also shown that bound electron states cannot occur in this quantum system. The scattering problem for the model of a flux tube of zero radius in the Born approximation is briefly discussed.

V. R. Khalilov; Choon-Lin Ho
2007-08-23

175

Zero modes in a system of Aharonov--Bohm solenoids on the Lobachevsky plane

  Mathematical Physics (arXiv)

Summary: We consider a spin 1/2 charged particle on the Lobachevsky plane subjected to a magnetic field corresponding to a discrete system of Aharonov-Bohm solenoids. Let $H^+$ and $H^-$ be the two components of the Pauli operator for spin up and down, respectively. We show that neither $H^+$ nor $H^-$ has a zero mode if the number of solenoids is finite. On the other hand, a construction is described of an infinite periodic system of solenoids for which either $H^+$ or $H^-$ has zero modes depending on the value of the flux carried by the solenoids.

V. A. Geyler; P. Stovicek
2005-09-01

176

Comment on Experiments Related to the Aharonov-Bohm Phase Shift

  Physics (arXiv)

Summary: Recent experiments undertaken by Caprez, Barwick, and Batelaan should clarify the connections between classical and quantum theories in connection with the Aharonov-Bohm phase shift. It is pointed out that resistive aspects for the solenoid current carriers play a role in the classical but not the quantum analysis for the phase shift. The observed absence of a classical lag effect for a macroscopic solenoid does not yet rule out the possibility of a lag explanation of the observed phase shift for a microscopic solenoid.

Timothy H. Boyer
2007-08-23

177

Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field

  Mathematical Physics (arXiv)

Summary: We consider two-dimensional Schr\\"odinger operators $H$ with Aharonov-Bohm magnetic field and an additional electric potential. We obtain an explicit leading term of the asymptotic expansion of the unitary group $e^{-i t H}$ for $t\\to\\infty$ in weighted $L^2$ spaces. In particular, we show that the magnetic field improves the decay of $e^{-i t H}$ with respect to the unitary group generated by non-magnetic Schr\\"odinger operators, and that the decay rate in time is determined by the magnetic flux.

Gabriele Grillo; Hynek Kovarik
2014-03-14

178

Dephasing via stochastic absorption: A case study in Aharonov-Bohm oscillations

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm ring has been the mainstay of mesoscopic physics research since its inception. In this paper we have dwelt on the problem of dephasing of AB oscillations using a phenomenological model based on stochastic absorption. To calculate the conductance in the presence of inelastic scattering we have used the method due to Brouwer and Beenakker. We have shown that conductance is symmetric under flux reversal and visibility of AB oscillations decay to zero as a function of the incoherence parameter thus signalling dephasing in the system. Some comments are made on the relative merits of stochastic absorption with respect to optical potential model, which have been used to mimic dephasing.

Colin Benjamin; A. M. Jayannavar
2002-04-01

179

A Remark on the Aharonov-Bohm Potential and a Discussion on the Electric Charge Quantization

  HEP - Theory (arXiv)

Summary: The purpose of this work is to stress on a mathematical requirement of the Stokes' theorem that, naturally, yields a reassessment of the electric charge quantization condition, which is, here, explicitly carried out in the context of the Aharonov-Bohm set-up. We argue that, by virtue of an ambiguity in the definition of the circulation of the vector potential, a modified quantization condition comes out for the electric charge that opens the way for understanding fundamental fractional charges. One does not, any longer, need to rely on the existence of a magnetic monopole to justify electric charge quantization.

F. A. Barone; J. A. Helayel-Neto
2005-02-08

180

Semiclassical Theory of h/e Aharonov-Bohm Oscillation in Ballistic Regimes

  Nonlinear Sciences (arXiv)

Summary: We study the magneto-transport in Aharonov-Bohm (AB) billiards forming doubly connected structures. In these systems, non-averaged conductance oscillates as a function of magnetic flux with period h/e. We derive formulas of the correlation function C of the magneto-conductance for chaotic and regular AB billiards by use of the semiclassical theory. The different higher harmonics behaviors for C are related to the differing distribution of classical dwelling times. The AB oscillation in ballistic regimes provides an experimental probe of quantum signatures of classical chaotic and regular dynamics.

Shiro Kawabata
1999-09-01

181

Aharonov-Bohm effect and geometric phases -- Exact and approximate topology

  Mathematical Physics (arXiv)

Summary: By analyzing an exactly solvable model in the second quantized formulation which allows a unified treatment of adiabatic and non-adiabatic geometric phases, it is shown that the topology of the adiabatic Berry's phase, which is characterized by the singularity associated with possible level crossing, is trivial in a precise sense. This topology of the geometric phase is quite different from the topology of the Aharonov-Bohm effect, where the topology is specified by the external local gauge field and it is exact for the slow as well as for the fast motion of the electron.

Kazuo Fujikawa
2013-02-03

182

Aharonov-Bohm effect and geometric phases -- Exact and approximate topology

  CERN Preprints

Summary: By analyzing an exactly solvable model in the second quantized formulation which allows a unified treatment of adiabatic and non-adiabatic geometric phases, it is shown that the topology of the adiabatic Berry's phase, which is characterized by the singularity associated with possible level crossing, is trivial in a precise sense. This topology of the geometric phase is quite different from the topology of the Aharonov-Bohm effect, where the topology is specified by the external local gauge field and it is exact for the slow as well as for the fast motion of the electron.

Fujikawa, Kazuo
2013-01-01

183

Anyonic strings and membranes in AdS space and dual Aharonov-Bohm effects

  HEP - Theory (arXiv)

Summary: It is observed that strings in AdS_5 x S^5 and membranes in AdS_7 x S^4 exhibit long range phase interactions. Two well separated membranes dragged around one another in AdS acquire phases of 2\\pi/N. The same phases are acquired by a well separated F and D string dragged around one another. The phases are shown to correspond to both the standard and a novel type of Aharonov-Bohm effect in the dual field theory.

Sean A. Hartnoll
2006-12-15

184

Interrelations Between the Neutron's Magnetic Interactions and the Magnetic Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: It is proved that the phase shift of a polarized neutron interacting with a spatially uniform time-dependent magnetic field, demonstrates the same physical principles as the magnetic Aharonov-Bohm effect. The crucial role of inert objects is explained, thereby proving the quantum mechanical nature of the effect. It is also proved that the nonsimply connectedness of the field-free region is not a profound property of the system and that it cannot be regarded as a sufficient condition for a nonzero phase shift.

E. Comay
1999-06-17

185

Scattering theory and the Aharonov--Bohm effect in quasiclassical physics

  HEP - Theory (arXiv)

Summary: Scattering of a nonrelativistic quantum-mechanical particle by an impenetrable magnetic vortex is considered. The nonvanishing transverse size of the vortex is taken into account, and the limit of short, as compared to this size, wavelengths of the scattered particle is analyzed. We show that the scattering Aharonov-Bohm effect persists in the quasiclassical limit owing to the diffraction persisting in the short-wavelength limit. As a result, the vortex flux serves as a gate for the propagation of short-wavelength, almost classical, particles. This quasiclassical effect is more feasible to experimental detection in the case when space outside the vortex is conical.

Yurii A. Sitenko; Nadiia D. Vlasii
2010-08-09

186

The Sagnac Phase Shift suggested by the Aharonov-Bohm effect for relativistic matter beams

  General Relativity & Quantum Cosmology (arXiv)

Summary: The phase shift due to the Sagnac Effect, for relativistic matter beams counter-propagating in a rotating interferometer, is deduced on the bases of a a formal analogy with the the Aharonov-Bohm effect. A procedure outlined by Sakurai, in which non relativistic quantum mechanics and newtonian physics appear together with some intrinsically relativistic elements, is generalized to a fully relativistic context, using the Cattaneo's splitting technique. This approach leads to an exact derivation, in a self-consistently relativistic way, of the Sagnac effect. Sakurai's result is recovered in the first order approximation.

Guido Rizzi; Matteo Luca Ruggiero
2003-05-13

187

Role of the non-locality of the vector potential in the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: When the electromagnetic potentials are expressed in the Coulomb gauge in terms of the electric and magnetic fields rather than the sources responsible for these fields they have a simple form that is non-local i.e. the potentials depend on the fields at every point in space. It is this non-locality of classical electrodynamics that is at first instance responsible for the puzzle associated with the Aharonov-Bohm effect: that its interference pattern is affected by fields in a region of space that the electron beam never enters.

A. M. Stewart
2012-09-02

188

Semiclassical theory of h/e Aharonov-Bohm oscillation for doubly connected ballistic cavities

  Nonlinear Sciences (arXiv)

Summary: In Aharonov-Bohm (AB) cavities forming doubly connected ballistic structures, h/e AB oscillations that result from the interference among the complicated trapped paths in the cavity can be described by the framework of the semiclassical theory. We derive formulas of the correlation function C(\\Delta \\phi) of the nonaveraged magnetoconductance for chaotic and regular AB cavities. The different higher harmonics behaviors for C(\\Delta \\phi) are related to the differing distribution of classical dwelling times. The AB oscillation in ballistic regimes provides an experimental probe of quantum signatures of classical chaotic and regular dynamics.

Shiro Kawabata
2000-02-04

189

h/2e oscillations and quantum chaos in ballistic Aharonov-Bohm billiards

  Nonlinear Sciences (arXiv)

Summary: We study the quantum interference effect for the single ballistic Aharonov-Bohm billiard in the presence of a weak magnetic field B. The diagonal part of the wave-number averaged reflection coefficient $\\delta {\\cal R}_D$ is calculated by use of semi-classical scattering theory. In addition to the appearance of "h/2e oscillation" that are caused by interference between time-reversed coherent backscattering classical trajectories, B in the conducting region leads to negative magnetoresistance and dampening of the h/2e oscillation amplitude. The B dependence of the results reflects the underlying classical (chaotic and regular) dynamics.

Shiro Kawabata; Katsuhiro Nakamura
2000-02-05

190

Coherent control of artificial molecules using an Aharonov-Bohm magnetic flux

  Quantum Physics (arXiv)

Summary: Bonding and anti-bonding states of artificial molecules have been realized in experiments by directly coupling two quantum dots. Without a direct coupling between two nearby quantum dots, here we show that a continuous crossover, from symmetric to anti-symmetric molecular state, can be achieved by changing the flux through a double quantum dot Aharonov-Bohm (AB) interferometer. We explicitly present the flux-dependent real-time processes of molecular-state formation. In contrast to the transport current, which has a $2\\pi$ period, the quantum state of the DQD molecule has a $4\\pi$ period in the AB flux.

Matisse Wei-Yuan Tu; Wei-Min Zhang; Franco Nori
2012-04-26

191

Analogue Aharonov-Bohm effect in a Lorentz-violating background

  HEP - Theory (arXiv)

Summary: In this paper we consider the acoustic black hole metrics obtained from a relativistic fluid under the influence of constant background that violates the Lorentz symmetry to study the analogue of the Aharonov-Bohm (AB) effect. We show that the scattering of planar waves by a draining bathtub vortex leads to a modified AB effect and due to the Lorentz symmetry breaking, the phase shift persists even in the limit where the parameters associated with the circulation and draining vanish. In this limit, the Lorentz-violating background forms a conical defect, which is also responsible for the appearance of the analogue AB effect.

M. A. Anacleto; F. A. Brito; E. Passos
2012-12-11

192

Interrelations Between the Neutron's Magnetic Interactions and the Magnetic Aharonov-Bohm Effect

  CERN Preprints

Summary: It is proved that the phase shift of a polarized neutron interacting with a spatially uniform time-dependent magnetic field, demonstrates the same physical principles as the magnetic Aharonov-Bohm effect. The crucial role of inert objects is explained, thereby proving the quantum mechanical nature of the effect. It is also proved that the nonsimply connectedness of the field-free region is not a profound property of the system and that it cannot be regarded as a sufficient condition for a nonzero phase shift.

Comay, E
1999-01-01

193

Scattering of a charged particle from a hard cylindrical solenoid: Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: The scattering amplitude of a charged particle from a long hard cylinderical solenoid is derived by solving the time independent Schr\\"{o}dinger equation on a double connected plane. It is a summation over the angular momentum quantum number (partial wave summation). It is shown that only negative mechanical angular momenta contribute to the amplitude when the radius of the solenoid goes to zero limit without varying the magnetic induction flux (Flux line). Original Aharonov-Bohm result is obtained with this limit.

Oktay Yilmaz
2013-11-27

194

Influence of Induced Charges in the Electric Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm effect. If the induced charge is taken into account, the interference pattern of the moving charge will not change with the potential difference between the two metal tubes. It means that the scale potential itself can not affect the phase of the moving charge, and the true factor affecting the phase of the moving charge is the energy of the system including the moving charge and the induced charge.

Rui-Feng Wang
2014-09-24

195

Aharonov-Bohm Order Parameters for Non-Abelian Gauge Theories

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm effect has been invoked to probe the phase structure of a gauge theory. Yet in the case of non-Abelian gauge theories, it proves difficult to formulate a general procedure that unambiguously specifies the realization of the gauge symmetry, e.g. the unbroken subgroup. In this paper, we propose a set of order parameters that will do the job. We articulate the fact that any useful Aharonov-Bohm experiment necessarily proceeds in two stages: calibration and measurement. World sheets of virtual cosmic string loops can wrap around test charges, thus changing their states relative to other charges in the universe. Consequently, repeated flux measurements with test charges will not necessarily agree. This was the main stumbling block to previous attempts to construct order parameters for non-Abelian gauge theories. In those works, the particles that one uses for calibration and subsequent measurement are stored in {\\em separate} ``boxes''. By storing all test particles in the {\\em same} ``box'', we show how quantum fluctuations can be overcome. The importance of gauge fixing is also emphasized.

Hoi-Kwong Lo
1995-02-14

196

Aharonov-Bohm order parameters for non-abelian gauge theories

  CERN Preprints

Summary: The Aharonov-Bohm effect has been invoked to probe the phase structure of a gauge theory. Yet in the case of non-Abelian gauge theories, it proves difficult to formulate a general procedure that unambiguously specifies the realization of the gauge symmetry, e.g. the unbroken subgroup. In this paper, we propose a set of order parameters that will do the job. We articulate the fact that any useful Aharonov-Bohm experiment necessarily proceeds in two stages: calibration and measurement. World sheets of virtual cosmic string loops can wrap around test charges, thus changing their states relative to other charges in the universe. Consequently, repeated flux measurements with test charges will not necessarily agree. This was the main stumbling block to previous attempts to construct order parameters for non-Abelian gauge theories. In those works, the particles that one uses for calibration and subsequent measurement are stored in {\\em separate} ``boxes''. By storing all test particles in the {\\em same} ``box'', we ...

Lo, H K
1995-01-01

197

Aharonov-Bohm scattering of charged particles and neutral atoms: the role of absorption

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show that standard partial-wave method can be adjusted to this case. The effect of absorption leads to oscillations of the AB cross section. Based on this we investigate the scattering of neutral atoms with induced electric dipole moments by a charge wire of finite radius which is placed in an uniform magnetic field. The physical realistic and practically important case that all atoms which collide with the wire are totally absorbed at its surface, is studied in detail. The dominating terms of the scattering amplitude are evaluated analytically for different physical constellations. The rest terms are written in a form suitable for a numerical computation. We show that if the magnetic field is absent, the absorbing charged wire causes oscillations of the cross section. In the presence of the magnetic field the cross section increases and the dominating Aharonov--Bohm peak appears in the forward direction, suppressing the oscillations.

Juergen Audretsch; Vladimir Skarzhinsky
1999-01-25

198

Photonic Aharonov-Bohm Effect Based on Dynamic Modulation Department of Physics, Stanford University, Stanford, California 94305, USA

  Engineering Websites

Summary: Photonic Aharonov-Bohm Effect Based on Dynamic Modulation Kejie Fang Department of Physics April 2012) We show that when the refractive index of a photonic system is harmonically modulated, the phase of the modulation introduces an effective gauge potential for photons. This effective gauge

Fan, Shanhui

199

Curvature for the Sake of Single-Valuedness Iterative Interplay between Aharonov-Bohm De cit Angle and Berry Phase

  Mathematics Websites

Summary: Angle and Berry Phase Bernd Binder #3; (Dated: 14.9.2002) Geometric phases can be observed by interference as preferred scattering directions in the Aharonov-Bohm (AB) e#11;ect or as Berry phase shifts of the Berry phase can be adjusted to restore single-valuedness. The resulting interplay between both phases


200

Aharonov--Bohm E#ect in Scattering by a Chain of Point--like Magnetic Fields

  Mathematics Websites

Summary: Aharonov--Bohm E#ect in Scattering by a Chain of Point--like Magnetic Fields Hiroshi T. Ito the scattering by several point--like magnetic fields at large separation in two dimensions. We derive. Even if a magnetic field is compactly supported, the corresponding vector potential does


201

Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: We determine the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator in the presence of Aharonov-Bohm (AB) effect . It is shown that the energy spectrum depends on the spin of particle and the AB magnetic flux parameter. Finally, when the irregular solution occurs it is shown that the energy takes particular values. The nonrelativistic limit is also considered.

N. Ferkous; A. Bounames
2008-01-30

202

A proposal for investigating three-body forces in Aharonov-Bohm sytems

  Quantum Physics (arXiv)

Summary: Although there is no force on the electron in Aharonov-Bohm solenoid effect, the electron exerts a force on the solenoid related to the inequality of action and reaction forces of two subsystems in three-system configuration. The AB phase which is related to the force exerted by the electron on the solenoid . The momentum changes of the mechanical oscillator are equal in magnitude and opposite in sign to the changes in the momentum of the em fields. It is proposed to investigate momentum changes of "micro" bodies producing magnetic fields in AB systems which will clarify the nature of these effects. The problem of magnetic fields shielded from the electron wave packet is also discussed.

Y. Ben-Aryeh
2009-11-26

203

Gaussian Curvature and Global effects : gravitational Aharonov-Bohm effect revisited

  Mathematical Physics (arXiv)

Summary: Using the Gauss-Bonnet formula, integral of the Gaussian curvature over a 2-surface enclosed by a curve in the asymptotically flat region of a static spacetime was found to be a measure of a gravitational analogue of Aharonov-Bohm effect by Ford and Vilenkin in the linearized regime. Employing the 1+3 formulation of spacetime decomposition we study the same effect in the context of full Einstein field equations for stationary spacetimes. Applying our approach to static tube-like and cylindrical distributions of dust not only we recover their result but also obtain an extra term which is interpreted to be representing the classical version of the Colella-Overhauser-Werner effect (the COW experiment).

M. Nouri-Zonoz; A. Parvizi
2013-06-08

204

Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem

  Mathematical Physics (arXiv)

Summary: In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the $\\kappa$-Poincar\\'{e}-Hopf algebra. We consider the nonrelativistic limit of the $\\kappa$-deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter $\\varepsilon$. By using the self-adjoint extension approach, we examine the scattering and bound state scenarios. After obtaining the scattering phase shift and the $S$-matrix, the bound states energies are obtained by analyzing the pole structure of the latter. Using a recently developed general regularization prescription [Phys. Rev. D. \\textbf{85}, 041701(R) (2012)], the self-adjoint extension parameter is determined in terms of the physics of the problem. For last, we analyze the problem of helicity conservation.

F. M. Andrade; E. O. Silva
2012-12-10

205

The manifestly covariant Aharonov-Bohm effect in terms of the 4D fields

  CERN Preprints

Summary: In this paper it is presented a manifestly covariant formulation of the Aharonov-Bohm (AB) phase difference for the magnetic AB effect . This covariant AB phase is written in terms of the Faraday 2-form F and using the decomposition of F in terms of the electric and magnetic fields as four-dimensional (4D) geometric quantities. It is shown that there is a static electric field outside a stationary solenoid with resistive conductor carrying steady current, which causes that the AB phase difference in the magnetic AB effect may be determined by the electric part of the covariant expression, i.e. by the local influence of the 4D electric field and not, as generally accepted,in terms of nonzero vector potential.

Ivezic, Tomislav
2014-01-01

206

Self-adjoint Extension Approach to the spin-1/2 Aharonov-Bohm-Coulomb Problem

  HEP - Theory (arXiv)

Summary: The spin-1/2 Aharonov-Bohm problem is examined in the Galilean limit for the case in which a Coulomb potential is included. It is found that the application of the self-adjoint extension method to this system yields singular solutions only for one-half the full range of flux parameter which is allowed in the limit of vanishing Coulomb potential. Thus one has a remarkable example of a case in which the condition of normalizability is necessary but not sufficient for the occurrence of singular solutions. Expressions for the bound state energies are derived. Also the conditions for the occurrence of singular solutions are obtained when the non-gauge potential is $\\xi/r^p (0\\leq p<2)$.

D. K. Park
1994-05-02

207

Levinson's theorem and higher degree traces for Aharonov-Bohm operators

  Mathematical Physics (arXiv)

Summary: We study Levinson type theorems for the family of Aharonov-Bohm models from different perspectives. The first one is purely analytical involving the explicit calculation of the wave-operators and allowing to determine precisely the various contributions to the left hand side of Levinson's theorem, namely those due to the scattering operator, the terms at 0-energy and at infinite energy. The second one is based on non-commutative topology revealing the topological nature of Levinson's theorem. We then include the parameters of the family into the topological description obtaining a new type of Levinson's theorem, a higher degree Levinson's theorem. In this context, the Chern number of a bundle defined by a family of projections on bound states is explicitly computed and related to the result of a 3-trace applied on the scattering part of the model.

J. Kellendonk; K. Pankrashkin; S. Richard
2010-12-15

208

Aharonov-Bohm effect in the tunnelling of a quantum rotor in a linear Paul trap

  CERN Preprints

Summary: Quantum tunnelling is a common fundamental quantum-mechanical phenomenon that originates from the wave-like characteristics of quantum particles. Although the quantum-tunnelling effect was first observed 85 years ago, some questions regarding the dynamics of quantum tunnelling remain unresolved. Here, we realise a quantum-tunnelling system using two-dimensional ionic structures in a linear Paul trap. We demonstrate that the charged particles in this quantum-tunnelling system are coupled to the vector potential of a magnetic field throughout the entire process, even during quantum tunnelling, as indicated by the manifestation of the Aharonov-Bohm effect in this system. The tunnelling rate of the structures periodically depends on the strength of the magnetic field, whose period is the same as the magnetic-flux quantum $\\phi_0$ through the rotor [($0.99 \\pm 0.07)\\times \\phi_0$].

Noguchi, Atshushi; Toyoda, Kenji; Urabe, Shinji
2014-01-01

209

An Elementary Aharonov-Bohm System in Three Space Dimensions: Quantum Attraction With No Classical Force

  Quantum Physics (arXiv)

Summary: As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid, impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is remarkable because in classical physics there is no force between the two objects, and quantum-mechanical effects (associated with uncertainty principle energy) generally are repulsive rather than attractive. For an incident spinless charged particle in a P wave (in a configuration with total angular momentum zero) we verify a resonance just above threshold using the Kohn variational principle in its S-matrix form. Even if optimistic choices of parameters describing a model system with these properties turned out to be feasible, the temperature required to observe the resonance would be far lower than has yet been attained in the laboratory.

Alfred Scharff Goldhaber; Ryan Requist
2003-01-14

210

Triviality of the Aharonov-Bohm interaction in a spatially confining vacuum

  HEP - Theory (arXiv)

Summary: This paper explores long-range interactions between magnetically-charged excitations of the vacuum of the dual Landau-Ginzburg theory (DLGT) and the dual Abrikosov vortices present in the same vacuum. We show that, in the London limit of DLGT, the corresponding Aharonov-Bohm-type interactions possess such a coupling that the interactions reduce to a trivial factor of e^{2\\pi i (integer)}. The same analysis is done in the SU(N_c)-inspired [U(1)]^{N_c-1}-invariant DLGT, as well as in DLGT extended by a Chern-Simons term. It is furthermore explicitly shown that the Chern-Simons term leads to the appearance of knotted dual Abrikosov vortices.

Dmitri Antonov
2012-02-09

211

The manifestly covariant Aharonov-Bohm effect in terms of the 4D fields

  Physics (arXiv)

Summary: In this paper it is presented a manifestly covariant formulation of the Aharonov-Bohm (AB) phase difference for the magnetic AB effect . This covariant AB phase is written in terms of the Faraday 2-form F and using the decomposition of F in terms of the electric and magnetic fields as four-dimensional (4D) geometric quantities. It is shown that there is a static electric field outside a stationary solenoid with resistive conductor carrying steady current, which causes that the AB phase difference in the magnetic AB effect may be determined by the electric part of the covariant expression, i.e. by the local influence of the 4D electric field and not, as generally accepted,in terms of nonzero vector potential.

Tomislav Ivezic
2014-07-14

212

Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem

  CERN Preprints

Summary: In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the $\\kappa$-Poincar\\'{e}-Hopf algebra. We consider the nonrelativistic limit of the $\\kappa$-deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter $\\varepsilon$. By using the self-adjoint extension approach, we examine the scattering and bound state scenarios. After obtaining the scattering phase shift and the $S$-matrix, the bound states energies are obtained by analyzing the pole structure of the latter. Using a recently developed general regularization prescription [Phys. Rev. D. \\textbf{85}, 041701(R) (2012)], the self-adjoint extension parameter is determined in terms of the physics of the problem. For last, we analyze the problem of helicity conservation.

Andrade, F M
2012-01-01

213

Propagators associated to periodic Hamiltonians: an example of the Aharonov-Bohm Hamiltonian with two vortices

  Mathematical Physics (arXiv)

Summary: We consider an invariant quantum Hamiltonian $H=-\\Delta_{LB}+V$ in the $L^{2}$ space based on a Riemannian manifold $\\tilde{M}$ with a discrete symmetry group $\\Gamma$. Typically, $\\tilde{M}$ is the universal covering space of a multiply connected manifold $M$ and $\\Gamma$ is the fundamental group of $M$. To any unitary representation $\\Lambda$ of $\\Gamma$ one can relate another operator on $M=\\tilde{M}/\\Gamma$, called $H_\\Lambda$, which formally corresponds to the same differential operator as $H$ but which is determined by quasi-periodic boundary conditions. We give a brief review of the Bloch decomposition of $H$ and of a formula relating the propagators associated to the Hamiltonians $H_\\Lambda$ and $H$. Then we concentrate on the example of the Aharonov-Bohm effect with two vortices. We explain in detail the construction of the propagator in this case and indicate all essential intermediate steps.

P. Kocabova; P. Stovicek
2008-02-06

214

Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect II: Dispersive waves

  Quantum Physics (arXiv)

Summary: Previous results on the scattering of surface waves by vertical vorticity on shallow water are generalized to the case of dispersive water waves. Dispersion effects are treated perturbatively around the shallow water limit, to first order in the ratio of depth to wavelength. The dislocation of the incident wavefront, analogous to the Aharonov-Bohm effect, is still observed. At short wavelengths the scattering is qualitatively similar to the nondispersive case. At moderate wavelengths, however, there are two markedly different scattering regimes according to wether the capillary length is smaller or larger than $\\sqrt{3}$ times depth. The dislocation is characterized by a parameter that depends both on phase and group velocity. The validity range of the calculation is the same as in the shallow water case: wavelengths small compared to vortex radius, and low Mach number. The implications of these limitations are carefully considered.

Christophe Coste; Fernando Lund
1998-12-18

215

Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect I: Shallow water

  Quantum Physics (arXiv)

Summary: When a surface wave interacts with a vertical vortex in shallow water the latter induces a dislocation in the incident wavefronts that is analogous to what happens in the Aharonov-Bohm effect for the scattering of electrons by a confined magnetic field. In addition to this global similarity between these two physical systems there is scattering. This paper reports a detailed calculation of this scattering, which is quantitatively different from the electronic case in that a surface wave penetrates the inside of a vortex while electrons do not penetrate a solenoid. This difference, together with an additional difference in the equations that govern both physical systems lead to a quite different scattering in the case of surface waves, whose main characteristic is a strong asymmetry in the scattering cross section. The assumptions and approximations under which these effects happen are carefully considered, and their applicability to the case of scattering of acoustic waves by vorticity is noted.

Christophe Coste; Makoto Umeki; Fernando Lund
1998-12-18

216

Transmission phase lapse in the non-Hermitian Aharonov-Bohm interferometer near the spectral singularity

  Quantum Physics (arXiv)

Summary: We study the effect of PT-symmetric imaginary potentials embedded in the two arms of an Aharonov-Bohm interferometer on the transmission phase by finding an exact solution for a concrete tight-binding system. It is observed that the spectral singularity always occurs at k=${\\pm}${\\pi}/2 for a wide range of fluxes and imaginary potentials. Critical behavior associated with the physics of the spectral singularity is also investigated. It is demonstrated that the quasi-spectral singularity corresponds to a transmission maximum and the transmission phase jumps abruptly by {\\pi} when the system is swept through this point. Moreover, We find that there exists a pulse-like phase lapse when the imaginary potential approaches the boundary value of the spectral singularity.

G. Zhang; X. Q. Li; X. Z. Zhang; Z. Song
2014-12-25

217

Scattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm-Coulomb potentials in two dimensions may describe the interaction between two particles carrying electric charge and magnetic flux, say, Chern--Simons solitons, or so called anyons. The scattering problem for such two-body systems is extended to the relativistic case, and the scattering amplitude is obtained as a partial wave series. The electric charge and magnetic flux is ($-q$, $-\\phi/Z$) for one particle and ($Zq$, $\\phi$) for the other. When $(Zq^2/\\hbar c)^2\\ll 1$, and $q\\phi/2\\pi\\hbar c$ takes on integer or half integer values, the partial wave series is summed up approximately to give a closed form. The results exhibit some nonperturbative features and cannot be obtained from perturbative quantum electrodynamics at the tree level.

Qiong-gui Lin
2000-07-27

218

Fermion pair production in planar Coulomb and Aharonov--Bohm potentials

  Quantum Physics (arXiv)

Summary: Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac equation which contains a new parameter introduced by Hagen to describe the spin of the spin-1/2 particle. We derive a transcendental equations that implicitly determine the energy spectrum of an electron near the negative-energy continuum boundary and the critical charges for some electron states. Fermion pair production from a vacuum by a strong Coulomb field in the presence of the magnetic flux tube of zero radius is considered. It is shown that the presence of the Ahanorov--Bohm flux tends to stabilize the system.

V. R. Khalilov; Choon-Lin Ho
2007-10-04

219

Nonlocal Phases of Local Quantum Mechanical Wavefunctions in Static and Time-Dependent Aharonov-Bohm Experiments

  CERN Preprints

Summary: We show that the standard Dirac phase factor is not the only solution of the gauge transformation equations. The full form of a general gauge function (that connects systems that move in different sets of scalar and vector potentials), apart from Dirac phases also contains terms of classical fields that act nonlocally (in spacetime) on the local solutions of the time-dependent Schr\\"odinger equation: the phases of wavefunctions in the Schr\\"odinger picture are affected nonlocally by spatially and temporally remote magnetic and electric fields, in ways that are fully explored. These contributions go beyond the usual Aharonov-Bohm effects (magnetic or electric). (i) Application to cases of particles passing through static magnetic or electric fields leads to cancellations of Aharonov-Bohm phases at the observation point; these are linked to behaviors at the semiclassical level (to the old Werner & Brill experimental observations, or their "electric analogs" - or to recent reports of Batelaan & Tonomura)...

Moulopoulos, Konstantinos
2010-01-01

220

How to test the gauge-invariant non-local quantum dynamics of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The gauge invariant non local quantum dynamics of the Aharonov-Bohm effect can be tested experimentally by measuring the instantaneous shift of the velocity distribution occurring when the particle passes by the flux line. It is shown that in relativistic quantum theory it is possible to measure the instantaneous velocity with accuracy sufficient to detect the change of the velocity distribution. In non relativistic quantum theory the instantaneous velocity can be measured to any desired accuracy.

T. Kaufherr
2014-11-11

221

Transport, Aharonov-Bohm, and Topological Effects in Graphene Molecular Junctions and Graphene Nanorings

  Nuclear Theory (arXiv)

Summary: The unique ultra-relativistic, massless, nature of electron states in two-dimensional extended graphene sheets, brought about by the honeycomb lattice arrangement of carbon atoms in two-dimensions, provides ingress to explorations of fundamental physical phenomena in graphene nanostructures. Here we explore the emergence of new behavior of electrons in atomically precise segmented graphene nanoribbons (GNRs) and graphene rings with the use of tight-binding calculations, non-equilibrium Green's function transport theory, and a newly developed Dirac continuum model that absorbs the valence-to-conductance energy gaps as position-dependent masses, including topological-in-origin mass-barriers at the contacts between segments. Through transport investigations in variable-width segmented GNRs with armchair, zigzag, and mixed edge terminations we uncover development of new Fabry-Perot-like interference patterns in segmented GNRs, a crossover from the ultra-relativistic massless regime, characteristic of extended graphene systems, to a massive relativistic behavior in narrow armchair GNRs, and the emergence of nonrelativistic behavior in zigzag-terminated GNRs. Evaluation of the electronic states in a polygonal graphene nanoring under the influence of an applied magnetic field in the Aharonov-Bohm regime, and their analysis with the use of a relativistic quantum-field theoretical model, unveils development of a topological-in-origin zero-energy soliton state and charge fractionization. These results provide a unifying framework for analysis of electronic states, coherent transport phenomena, and the interpretation of forthcoming experiments in segmented graphene nanoribbons and polygonal rings.

Constantine Yannouleas; Igor Romanovsky; Uzi Landman
2015-02-16

222

Precession and interference in the Aharonov-Casher and scalar Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The ideal scalar Aharonov-Bohm (SAB) and Aharonov-Casher (AC) effect involve a magnetic dipole pointing in a certain fixed direction: along a purely time dependent magnetic field in the SAB case and perpendicular to a planar static electric field in the AC case. We extend these effects to arbitrary direction of the magnetic dipole. The precise conditions for having nondispersive precession and interference effects in these generalized set ups are delineated both classically and quantally. Under these conditions the dipole is affected by a nonvanishing torque that causes pure precession around the directions defined by the ideal set ups. It is shown that the precession angles are in the quantal case linearly related to the ideal phase differences, and that the nonideal phase differences are nonlinearly related to the ideal phase differences. It is argued that the latter nonlinearity is due the appearance of a geometric phase associated with the nontrivial spin path. It is further demonstrated that the spatial force vanishes in all cases except in the classical treatment of the nonideal AC set up, where the occurring force has to be compensated by the experimental arrangement. Finally, for a closed space-time loop the local precession effects can be inferred from the interference pattern characterized by the nonideal phase differences and the visibilities. It is argued that this makes it natural to regard SAB and AC as essentially local and nontopological effects.

Philipp Hyllus; Erik Sjöqvist
2002-10-10

223

Interference between two independent electrons: observation of two-particle Aharonov-Bohm interference

  Quantum Physics (arXiv)

Summary: Very much like the ubiquitous quantum interference of a single particle with itself, quantum interference of two independent, but indistinguishable, particles is also possible. This interference is a direct result of quantum exchange statistics, however, it is observed only in the joint probability to find the particles in two separated detectors. Here we report the first observation of such interference fringes between two independent and non-interacting electrons in an interferometer proposed by Yurke et al. and Samuelsson et al. Our experiment resembles the "Hanbury Brown and Twiss" (HBT) experiment, which was performed with classical waves. In the experiment, two independent and mutually incoherent electron beams were each partitioned into two trajectories. The combined four trajectories enclosed an Aharonov-Bohm (AB) flux (but not the two trajectories of a single electron). While individual currents were found to be independent of the AB flux, as expected, the cross-correlation between current fluctuations in two opposite points across the device exhibited strong AB oscillations. This is a direct signature of orbital entanglement between two electrons even though they never interact with each other.

I. Neder; N. Ofek; Y. Chung; M. Heiblum; D. Mahalu; V. Umansky
2007-05-01

224

Aharonov-Bohm effect in relativistic and nonrelativistic 2D electron gas: a comparative study

  HEP - Phenomenology (arXiv)

Summary: We carry out a comparative study of electronic properties of 2D electron gas (2DEG) in a magnetic field of an infinitesimally thin solenoid with relativistic dispersion as in graphene and quadratic dispersion as in semiconducting heterostructures. The problem of ambiguity of the zero mode solutions of the Dirac equation is treated by considering of a finite radius flux tube which allows to select unique solutions associated with each $\\mathbf{K}$ point of graphene's Brillouin zone. Then this radius is allowed to go to zero. On the base of the obtained in this case analytical solutions in the Aharonov-Bohm potential the local and total density of states (DOS) are calculated. It is shown that in the case of graphene there is an excess of LDOS near the vortex, while in 2DEG the LDOS is depleted. This results in excess of the induced by the vortex DOS in graphene and in its depletion in 2DEG. We discuss the application of the results for the local density of states for the scanning tunneling spectroscopy done on graphene.

A. O. Slobodeniuk; S. G. Sharapov; V. M. Loktev
2010-08-21

225

Effect of vacuum polarization of charged massive fermions in an Aharonov--Bohm field

  Quantum Physics (arXiv)

Summary: The effect of vacuum polarization of charged massive fermions in an Aharonov-Bohm (AB) potential in 2+1 dimensions is investigated. The causal Green's function of the Dirac equation with the AB potential is represented via the regular and irregular solutions of the two-dimensional radial Dirac equation. It is shown that the vacuum current density contains the contribution from free filled states of the negative energy continuum as well as that from a bound unfilled state, which can emerge in the above background due to the interaction of the fermion spin magnetic moment with the AB magnetic field while the induced charge density contains only the contribution from the bound state. The expressions for the vacuum charge and induced current densities are obtained (recovered for massless fermions) for the graphene in the field of infinitesimally thin solenoid perpendicular to the plane of a sample. We also find the bound state energy as a function of magnetic flux, fermion spin and the radius of solenoid as well as discuss the role of the so-called self-adjoint extension parameter and determine it in terms of the physics of the problem.

V. R. Khalilov
2014-07-16

226

Creation of planar charged fermions in Coulomb and Aharonov-Bohm potentials

  HEP - Phenomenology (arXiv)

Summary: The creation of charged fermions from the vacuum by a Coulomb field in the presence of an Aharonov--Bohm (AB) potential are studied in 2+1 dimensions. The process is governed by a (singular) Dirac Hamiltonian that requires the supplementary definition in order for it to be treated as a self-adjoint quantum-mechanical operator. By constructing a one-parameter self-adjoint extension of the Dirac Hamiltonian, specified by boundary conditions, we describe the (virtual bound) quasistationary states with "complex energy" emerging in an attractive Coulomb potential, derive for the first time, complex equations (depending upon the electron spin and the extension parameter) for the quasistationary state "complex energy". The constructed self-adjoint Dirac Hamiltonians in Coulomb and AB potentials are applied to provide a correct description to the low-energy electron excitations, as well as the creation of charged quasiparticles from the vacuum in graphene by the Coulomb impurity in the presence of AB potential. It is shown that the strong Coulomb field can create charged fermions for some range of the extension parameter.

V. R. Khalilov
2013-09-09

227

On the causality of electrodynamics and the Aharonov-Bohm effect

  Mathematical Physics (arXiv)

Summary: This paper presents a \\emph{non-instant field model} for electrodynamics that permits a causal explanation of the \\emph{Aharonov-Bohm effect} and a \\emph{covariant quantization} of the respective Maxwell equations via the \\emph{Gupta-Bleuler method}. Our model satisfies the following \\emph{correspondence principle}: if $A^\\mu$, $\\vE$, $\\vB$ denote the four potential, the electric field and the magnetic field of the non-instant field model, then the respective classical quantities are $\\A[A^\\mu]$, $\\A[\\vE]$, $\\A[\\vB]$, where $\\A$ is a covariant time averaging operator. Here $\\A[A^\\mu]$ is interpreted as the best possible measurement of the four potential $A^\\mu$. Although the Lorentz condition is not satisfied for $A^\\mu$, it is satisfied for $\\A[A^\\mu]$. The latter fact means that the Lorentz condition does not hold for the quantized field but for its expectation value (cf. \\emph{Gupta-Bleuler method} of quantization). Finally, we derive the energy conservation law of our field model and show that the field energy is quantized.

Richard Kowar
2011-11-24

228

Aharonov-Bohm effect in relativistic and nonrelativistic 2D electron gas: a comparative study

  CERN Preprints

Summary: We carry out a comparative study of electronic properties of 2D electron gas (2DEG) in a magnetic field of an infinitesimally thin solenoid with relativistic dispersion as in graphene and quadratic dispersion as in semiconducting heterostructures. The problem of ambiguity of the zero mode solutions of the Dirac equation is treated by considering of a finite radius flux tube which allows to select unique solutions associated with each $\\mathbf{K}$ point of graphene's Brillouin zone. Then this radius is allowed to go to zero. On the base of the obtained in this case analytical solutions in the Aharonov-Bohm potential the local and total density of states (DOS) are calculated. It is shown that in the case of graphene there is an excess of LDOS near the vortex, while in 2DEG the LDOS is depleted. This results in excess of the induced by the vortex DOS in graphene and in its depletion in 2DEG. We discuss the application of the results for the local density of states for the scanning tunneling spectroscopy done on ...

Slobodeniuk, A O; Loktev, V M
2010-01-01

229

The Aharonov-Bohm scattering : the role of the incident wave

  HEP - Theory (arXiv)

Summary: The scattering problem under the influence of the Aharonov-Bohm (AB) potential is reconsidered. By solving the Lippmann-Schwinger (LS) equation we obtain the wave function of the scattering state in this system. In spite of working with a plane wave as an incident wave we obtain the same wave function as was given by Aharonov and Bohm. Another method to solve the scattering problem is given by making use of a modified version of Gordon's idea which was invented to consider the scattering by the Coulomb potential. These two methods give the same result, which guarantees the validity of taking an incident plane wave as usual to make an analysis of this scattering problem. The scattering problem by a solenoid of finite radius is also discussed, and we find that the vector potential of the solenoid affects the charged particles even when the magnitude of the flux is an odd integer as well as noninteger. It is shown that the unitarity of the $S$ matrix holds provided that a plane wave is taken to be an incident one.

S. Sakoda; M. Omote
1996-03-28

230

On the relation between the Feynman paradox and Aharonov-Bohm effects

  Quantum Physics (arXiv)

Summary: The magnetic Aharonov-Bohm (A-B) effect occurs when a point charge interacts with a line of magnetic flux, while its dual, the Aharonov-Casher (A-C) effect, occurs when a magnetic moment interacts with a line of charge. For the two interacting parts of these physical systems, the equations of motion are discussed in this paper. The generally accepted claim is that both parts of these systems do not accelerate, while Boyer has claimed that both parts of these systems do accelerate. Using the Euler-Lagrange equations we predict that in the case of unconstrained motion only one part of each system accelerates, while momentum remains conserved. This prediction requires a time dependent electromagnetic momentum. For our analysis of unconstrained motion the A-B effects are then examples of the Feynman paradox. In the case of constrained motion, the Euler-Lagrange equations give no forces in agreement with the generally accepted analysis. The quantum mechanical A-B and A-C phase shifts are independent of the treatment of constraint. Nevertheless, experimental testing of the above ideas and further understanding of A-B effects which is central to both quantum mechanics and electromagnetism may be possible.

Scot McGregor; Ryan Hotovy; Adam Caprez; Herman Batelaan
2012-07-06

231

Creation of planar charged fermions in Coulomb and Aharonov-Bohm potentials

  CERN Preprints

Summary: The creation of charged fermions from the vacuum by a Coulomb field in the presence of an Aharonov--Bohm (AB) potential are studied in 2+1 dimensions. The process is governed by a (singular) Dirac Hamiltonian that requires the supplementary definition in order for it to be treated as a self-adjoint quantum-mechanical operator. By constructing a one-parameter self-adjoint extension of the Dirac Hamiltonian, specified by boundary conditions, we describe the (virtual bound) quasistationary states with "complex energy" emerging in an attractive Coulomb potential, derive for the first time, complex equations (depending upon the electron spin and the extension parameter) for the quasistationary state "complex energy". The constructed self-adjoint Dirac Hamiltonians in Coulomb and AB potentials are applied to provide a correct description to the low-energy electron excitations, as well as the creation of charged quasiparticles from the vacuum in graphene by the Coulomb impurity in the presence of AB potential. It is...

Khalilov, V R
2013-01-01

232

Filtering and analyzing mobile qubit information via Rashba-Dresselhaus-Aharonov-Bohm interferometers

  Quantum Physics (arXiv)

Summary: Spin-1/2 electrons are scattered through one or two diamond-like loops, made of quantum dots connected by one-dimensional wires, and subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus) spin-orbit interactions. With some symmetry between the two branches of each diamond, and with appropriate tuning of the electric and magnetic fields (or of the diamond shapes) this device completely blocks electrons with one polarization, and allows only electrons with the opposite polarization to be transmitted. The directions of these polarizations are tunable by these fields, and do not depend on the energy of the scattered electrons. For each range of fields one can tune the site and bond energies of the device so that the transmission of the fully polarized electrons is close to unity. Thus, these devices perform as ideal spin filters, and these electrons can be viewed as mobile qubits; the device writes definite quantum information on the spinors of the outgoing electrons. The device can also read the information written on incoming polarized electrons: the charge transmission through the device contains full information on this polarization. The double-diamond device can also act as a realization of the Datta-Das spin field-effect transistor.

Amnon Aharony; Yasuhiro Tokura; Guy Z. Cohen; Ora Entin-Wohlman; Shingo Katsumoto
2011-03-11

233

Filtering and analyzing mobile qubit information via Rashba-Dresselhaus-Aharonov-Bohm interferometers

  CERN Preprints

Summary: Spin-1/2 electrons are scattered through one or two diamond-like loops, made of quantum dots connected by one-dimensional wires, and subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus) spin-orbit interactions. With some symmetry between the two branches of each diamond, and with appropriate tuning of the electric and magnetic fields (or of the diamond shapes) this device completely blocks electrons with one polarization, and allows only electrons with the opposite polarization to be transmitted. The directions of these polarizations are tunable by these fields, and do not depend on the energy of the scattered electrons. For each range of fields one can tune the site and bond energies of the device so that the transmission of the fully polarized electrons is close to unity. Thus, these devices perform as ideal spin filters, and these electrons can be viewed as mobile qubits; the device writes definite quantum information on the spinors of the outgoing electrons. The device can also read the info...

Aharony, Amnon; Cohen, Guy Z; Entin-Wohlman, Ora; Katsumoto, Shingo
2011-01-01

234

Aharonov-Bohm interference in the presence of metallic mesoscopic cylinders

  Quantum Physics (arXiv)

Summary: This work studies the interference of electrons in the presence of a line of magnetic flux surrounded by a normal-conducting mesoscopic cylinder at low temperature. It is found that, while there is a supplementary phase contribution from each electron of the mesoscopic cylinder, the sum of these individual supplementary phases is equal to zero, so that the presence of a normal-conducting mesoscopic ring at low temperature does not change the Aharonov-Bohm interference pattern of the incident electron. It is shown that it is not possible to ascertain by experimental observation that the shielding electrons have responded to the field of an incident electron, and at the same time to preserve the interference pattern of the incident electron. It is also shown that the measuring of the transient magnetic field in the region between the two paths of an electron interference experiment with an accuracy at least equal to the magnetic field of the incident electron generates a phase uncertainty which destroys the interference pattern.

Silviu Olariu
1997-02-10

235

Classical Interaction of a Magnet and a Point Charge: The Classical Electromagnetic Forces Responsible for the Aharonov-Bohm Phase Shift

  CERN Preprints

Summary: A new classical electromagnetic analysis is presented suggesting that the Aharonov-Bohm phase shift is overwhelmingly likely to arise from a classical lag effect based upon classical electromagnetic forces. The analysis makes use of several aspects of classical electromagnetic theory which are unfamiliar to most physicists, including the Darwin Lagrangian, acceleration-based electric fields, internal electromagnetic momentum in a magnet, and a magnet model involving at least three mutually-interacting particles. Only when the acceleration-based electric forces acting on the passing charge are included do we find consistency with all the relativistic conservation laws: energy, linear momentum, angular momentum, and constant center-of-mass velocity. The electric forces on the passing charge lead to a lag effect which accounts quantitatively for the Aharonov-Bohm phase shift. Thus the classical analysis strongly suggests that the Aharonov-Bohm phase shift (observed when electrons pass a long solenoid which corre...

Boyer, Timothy H
2014-01-01

236

Nonlocal Phases of Local Quantum Mechanical Wavefunctions in Static and Time-Dependent Aharonov-Bohm Experiments

  Quantum Physics (arXiv)

Summary: We show that the standard Dirac phase factor is not the only solution of the gauge transformation equations. The full form of a general gauge function (that connects systems that move in different sets of scalar and vector potentials), apart from Dirac phases also contains terms of classical fields that act nonlocally (in spacetime) on the local solutions of the time-dependent Schr\\"odinger equation: the phases of wavefunctions in the Schr\\"odinger picture are affected nonlocally by spatially and temporally remote magnetic and electric fields, in ways that are fully explored. These contributions go beyond the usual Aharonov-Bohm effects (magnetic or electric). (i) Application to cases of particles passing through static magnetic or electric fields leads to cancellations of Aharonov-Bohm phases at the observation point; these are linked to behaviors at the semiclassical level (to the old Werner & Brill experimental observations, or their "electric analogs" - or to recent reports of Batelaan & Tonomura) but are shown to be far more general (true not only for narrow wavepackets but also for completely delocalized quantum states). By using these cancellations, certain previously unnoticed sign-errors in the literature are corrected. (ii) Application to time-dependent situations provides a remedy for erroneous results in the literature (on improper uses of Dirac phase factors) and leads to phases that contain an Aharonov-Bohm part and a field-nonlocal part: their competition is shown to recover Relativistic Causality in earlier "paradoxes" (such as the van Kampen thought-experiment), while a more general consideration indicates that the temporal nonlocalities found here demonstrate in part a causal propagation of phases of quantum mechanical wavefunctions in the Schr\\"odinger picture. This may open a direct way to address time-dependent double-slit experiments and the associated causal issues

Konstantinos Moulopoulos
2010-09-17

237

Dephasing in an Aharonov-Bohm interferometer containing a lateral double quantum dot induced by coupling with a quantum dot charge sensor

  Quantum Physics (arXiv)

Summary: We theoretically investigated the dephasing in an Aharonov-Bohm interferometer containing a lateral double quantum dot induced by coupling with a quantum dot charge sensor. We employed the interpolative 2nd-order perturbation theory to include the charge sensing Coulomb interaction. It is shown that the visibility of the Aharonov-Bohm oscillation of the linear conductance decreases monotonically as the sensing Coulomb interaction increases. In particular, for a weak sensing interaction regime, the visibility decreases parabolically, and it behaves linearly for a strong sensing interaction regime.

T. Kubo; Y. Tokura; S. Tarucha
2010-05-12

238

Exact solution of the Dirac equation for a Coulomb and a scalar Potential in the presence of of an Aharonov-Bohm and magnetic monopole fields

  HEP - Theory (arXiv)

Summary: In the present article we analyze the problem of a relativistic Dirac electron in the presence of a combination of a Coulomb field, a $1/r$ scalar potential as well as a Dirac magnetic monopole and an Aharonov-Bohm potential. Using the algebraic method of separation of variables, the Dirac equation expressed in the local rotating diagonal gauge is completely separated in spherical coordinates, and exact solutions are obtained. We compute the energy spectrum and analyze how it depends on the intensity of the Aharonov-Bohm and the magnetic monopole strengths.

Víctor M. Villalba
1995-03-08

239

Off-Diagonal Long-Range Order, Restricted Gauge Transformations, and Aharonov-Bohm Effect in Conductors

  Quantum Physics (arXiv)

Summary: The Hamiltonian describing a conductor surrounding an external magnetic field contains a nonvanishing vector potential in the volume accessible to the electrons and nuclei of which the conductor is made. That vector potential cannot be removed by a gauge transformation. Nevertheless, a macroscopic normal conductor can experience no Aharonov-Bohm effect. That is proved by assuming only that a normal conductor lacks off-diagonal long-range order (ODLRO). Then by restricting the Hilbert space to density matrices which lack ODLRO, it is possible to introduce a restricted gauge transformation that removes the interaction of the conductor with the vector potential.

Murray Peshkin
1995-10-20

240

Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system

  Mathematical Physics (arXiv)

Summary: We explain the origin and the nature of a special nonlinear supersymmetry of a reflectionless Poschl-Teller system by the Aharonov-Bohm effect for a nonrelativistic particle on the AdS_2. A key role in the supersymmetric structure appearing after reduction by a compact generator of the AdS_2 isometry is shown to be played by the discrete symmetries related to the space and time reflections in the ambient Minkowski space. We also observe that a correspondence between the two quantum non-relativistic systems is somewhat of the AdS/CFT holography nature.

Francisco Correa; Vit Jakubsky; Mikhail S. Plyushchay
2008-09-17

241

High-Velocity Estimates for the Scattering Operator and Aharonov-Bohm Effect in Three Dimensions

  Mathematical Physics (arXiv)

Summary: We obtain high-velocity estimates with error bounds for the scattering operator of the Schr\\"odinger equation in three dimensions with electromagnetic potentials in the exterior of bounded obstacles that are handlebodies. A particular case is a finite number of tori. We prove our results with time-dependent methods. We consider high-velocity estimates where the direction of the velocity of the incoming electrons is kept fixed as its absolute value goes to infinity. In the case of one torus our results give a rigorous proof that quantum mechanics predicts the interference patterns observed in the fundamental experiments of Tonomura et al. that gave a conclusive evidence of the existence of the Aharonov-Bohm effect using a toroidal magnet. We give a method for the reconstruction of the flux of the magnetic field over a cross-section of the torus modulo $2\\pi$. Equivalently, we determine modulo $2\\pi$ the difference in phase for two electrons that travel to infinity, when one goes inside the hole and the other outside it. For this purpose we only need the high-velocity limit of the scattering operator for one direction of the velocity of the incoming electrons. When there are several tori -or more generally handlebodies- the information that we obtain in the fluxes, and on the difference of phases, depends on the relative position of the tori and on the direction of the velocities when we take the high-velocity limit of the incoming electrons. For some locations of the tori we can determine all the fluxes modulo 2$\\pi$ by taking the high-velocity limit in only one direction. We also give a method for the unique reconstruction of the electric potential and the magnetic field outside the handlebodies from the high-velocity limit of the scattering operator.

Miguel Ballesteros; Ricardo Weder
2007-11-16

242

Zero-energy states of fermions in the field of Aharonov--Bohm type in 2+1 dimensions

  CERN Preprints

Summary: The quantum-mechanical problem of constructing a self-adjoint Hamiltonian for the Dirac equation in an Aharonov--Bohm field in 2+1 dimensions is solved with taking into account the fermion spin. The one-parameter family of self-adjoint extensions is found for the above Dirac Hamiltonian with particle spin. The correct domain of the self-adjoint Hamiltonian extension selecting by means of acceptable boundary conditions can contain regular and singular (at the point ${\\bf r}=0$) square-integrable functions on the half-line with measure $rdr$. We argue that the physical reason of the existence of singular solutions is the additional attractive potential, which appear due to the interaction between the spin magnetic moment of fermion and Aharonov--Bohm magnetic field. For some range of parameters there are bound fermionic states. It is shown that fermion (particle and antiparticle) states with zero energy are intersected what signals on the instability of quantum system and the possibility of a fermion-antifermio...

Khalilov, V R
2010-01-01

243

Zero-energy states of fermions in the field of Aharonov--Bohm type in 2+1 dimensions

  Quantum Physics (arXiv)

Summary: The quantum-mechanical problem of constructing a self-adjoint Hamiltonian for the Dirac equation in an Aharonov--Bohm field in 2+1 dimensions is solved with taking into account the fermion spin. The one-parameter family of self-adjoint extensions is found for the above Dirac Hamiltonian with particle spin. The correct domain of the self-adjoint Hamiltonian extension selecting by means of acceptable boundary conditions can contain regular and singular (at the point ${\\bf r}=0$) square-integrable functions on the half-line with measure $rdr$. We argue that the physical reason of the existence of singular solutions is the additional attractive potential, which appear due to the interaction between the spin magnetic moment of fermion and Aharonov--Bohm magnetic field. For some range of parameters there are bound fermionic states. It is shown that fermion (particle and antiparticle) states with zero energy are intersected what signals on the instability of quantum system and the possibility of a fermion-antifermion pair creation by the static external field.

V. R. Khalilov
2010-02-24

244

Classical Interaction of a Magnet and a Point Charge: The Classical Electromagnetic Forces Responsible for the Aharonov-Bohm Phase Shift

  Quantum Physics (arXiv)

Summary: A new classical electromagnetic analysis is presented suggesting that the Aharonov-Bohm phase shift is overwhelmingly likely to arise from a classical lag effect based upon classical electromagnetic forces. The analysis makes use of several aspects of classical electromagnetic theory which are unfamiliar to most physicists, including the Darwin Lagrangian, acceleration-based electric fields, internal electromagnetic momentum in a magnet, and a magnet model involving at least three mutually-interacting particles. Only when the acceleration-based electric forces acting on the passing charge are included do we find consistency with all the relativistic conservation laws: energy, linear momentum, angular momentum, and constant center-of-mass velocity. The electric forces on the passing charge lead to a lag effect which accounts quantitatively for the Aharonov-Bohm phase shift. Thus the classical analysis strongly suggests that the Aharonov-Bohm phase shift (observed when electrons pass a long solenoid which corresponds to a line of magnetic dipoles) is the analogue of the Matteucci-Pozzi phase shift (observed when electrons pass a line of electric dipoles). The classical electromagnetic analysis suggests experiments to distinguish the proposed classical-based lag effect from the presently accepted view that the Aharonov-Bohm phase shift is a quantum topological effect arising from magnetic fluxes in the absence of classical electromagnetic forces.

Timothy H. Boyer
2014-08-26

245

Magnetoresistance of nanoscale molecular devices based on Aharonov-Bohm interferometry This article has been downloaded from IOPscience. Please scroll down to see the full text article.

  Chemistry Websites

Summary: Magnetoresistance of nanoscale molecular devices based on Aharonov-Bohm interferometry This article (2008) 383201 (32pp) doi:10.1088/0953-8984/20/38/383201 TOPICAL REVIEW Magnetoresistance of nanoscale necessary for the construction of nanometer-scale magnetoresistance devices based on an Aharonov

Hod, Oded

246

Mesoscopic photovoltaic effect in GaAs/Ga1-xAlxAs Aharonov-Bohm rings L. Angers, A. Chepelianskii, R. Deblock, B. Reulet, and H. Bouchiat

  Physics Websites

Summary: Mesoscopic photovoltaic effect in GaAs/Ga1-xAlxAs Aharonov-Bohm rings L. Angers, A. Chepelianskii specific dc voltage. We have investigated this photovoltaic PV effect on GaAs/Ga1-xAlxAs Aharonov is generally done by measuring the dc induced signal sometimes called photovoltaic effect which has also given

Shepelyansky, Dima

247

Reduction by symmetries in singular quantum-mechanical problems: general scheme and application to Aharonov-Bohm model

  Mathematical Physics (arXiv)

Summary: We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Problems of this type naturally arise when considering two- and three-dimensional Schr\\"odinger operators with singular potentials. The approach is based on constructing a unitary transformation diagonalizing the symmetries and reducing the initial operator to the direct integral of a suitable family of partial operators. We prove that symmetry preserving self-adjoint extensions of the initial operator are in a one-to-one correspondence with measurable families of self-adjoint extensions of partial operators obtained by reduction. The general scheme is applied to the three-dimensional Aharonov-Bohm Hamiltonian describing the electron in the magnetic field of an infinitely thin solenoid. We construct all self-adjoint extensions of this Hamiltonian, invariant under translations along the solenoid and rotations around it, and explicitly find their eigenfunction expansions.

A. G. Smirnov
2014-12-15

248

Finite Difference-Time Domain solution of the Dirac equation and the dynamics of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no forces acted on the electron. The solution of the Dirac equation agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum. It was also shown that in the case when the magnetic field was not zero, the conservation of generalized or canonical momentum was equivalent to the action of the Lorentz force.

Neven Simicevic
2009-09-14

249

Linear Dynamic Polarizability and the Absorption Spectrum of an Exciton in an Aharonov-Bohm Quantum Ring

  Quantum Physics (arXiv)

Summary: We analytically solve the problem of an exciton (with particles interacting by a delta potential) in a one-dimensional quantum ring in the presence of an Aharonov-Bohm flux. By following a more straightforward method than in earlier works we determine the energy spectrum and the associated eigenfunctions together with other physical properties of the system in closed analytical forms. After finding the energy spectra of the exciton in this system, we then calculate the dynamic linear electric polarizability and the absorption coefficients; we find that the magnetic flux changes the values of the absorption coefficients dramatically and that by changing the value of magnetic flux parameter from 0 to 0.5 dark exciton states states transform to bright ones and vice versa.

A. V. Ghazaryan; A. P. Djotyan; K. Moulopoulos; A. A. Kirakosyan
2011-05-30

250

Partial wave Analysis of the First Order Born Amplitude of a Dirac Particle in an Aharonov-Bohm Potential

  Quantum Physics (arXiv)

Summary: A partial wave analysis using the basis of the total angular momentum operator J_3 is carried out for the first order Born amplitude of a Dirac particle in an Aharonov-Bohm (AB)potential. It is demonstrated that the s-partial wave contributes to the scattering amplitude in contrast to the case with scalar non-relativistic particles.We suggest that this explains the fact that the first order Born amplitude of a Dirac particle coincides with the exact amplitude expanded to the same order, where it does not for a scalar particle. An interesting algebra involving the Dirac velocity operator and the angular observables is discovered and its consequences are exploited.

M. S. Shikakhwa; N. K. Pak
2003-02-20

251

Geometric phase of spin systems in Majorana's stellar representation: a fictitious many-body Aharonov-Bohm effect

  CERN Preprints

Summary: The (Berry-Aharonov-Anandan) geometric phase acquired during a cyclic quantum evolution of spin systems is studied. It is shown that the quantum state of a spin J can be mapped onto the partition function of a fictitious gas of independent Dirac strings moving on a sphere and subject to the Coulomb repulsion of 2J fixed test charges (the Majorana stars) characterizing the quantum state. The geometric phase may be viewed as the Aharonov-Bohm phase acquired by the Majorana stars as they move through the gas of Dirac strings. Expressions for the geometric connection and curvature, for the metric tensor, as well as for the multipole moments (dipole, quadrupole, etc.), are given in terms of the Majorana stars. Finally, the geometric formulation of the quantum dynamics is presented and its application to systems with exotic ordering such as spin nematics is outlined.

Bruno, Patrick
2012-01-01

252

Quantum geometric phase in Majorana's stellar representation: Mapping onto a many-body Aharonov-Bohm phase

  Mathematical Physics (arXiv)

Summary: The (Berry-Aharonov-Anandan) geometric phase acquired during a cyclic quantum evolution of finite-dimensional quantum systems is studied. It is shown that a pure quantum state in a (2J+1)-dimensional Hilbert space (or, equivalently, of a spin-J system) can be mapped onto the partition function of a gas of independent Dirac strings moving on a sphere and subject to the Coulomb repulsion of 2J fixed test charges (the Majorana stars) characterizing the quantum state. The geometric phase may be viewed as the Aharonov-Bohm phase acquired by the Majorana stars as they move through the gas of Dirac strings. Expressions for the geometric connection and curvature, for the metric tensor, as well as for the multipole moments (dipole, quadrupole, etc.), are given in terms of the Majorana stars. Finally, the geometric formulation of the quantum dynamics is presented and its application to systems with exotic ordering such as spin nematics is outlined.

Patrick Bruno
2012-04-11

253

Spin polarisation by external magnetic fields, Aharonov-Bohm flux strings, and chiral symmetry breaking in QED$_3$

  HEP - Theory (arXiv)

Summary: In the first part, the induced vacuum spin around an Aharonov-Bohm flux string in massless three-dimensional QED is computed explicitly and the result is shown to agree with a general index theorem. A previous observation in the literature, that the presence of induced vacuum quantum numbers which are not periodic in the flux make an integral-flux AB string visible, is reinforced. In the second part, a recent discussion of chiral symmetry breaking by external magnetic fields in parity invariant QED$_3$ and its relation to the induced spin in parity non-invariant QED$_3$ is further elaborated. Finally other vacuum polarisation effects around flux tubes in different variants of QED, in three and four dimensions are mentioned.

Rajesh Parwani
1995-06-09

254

New application of decomposition of U(1) gauge potential:Aharonov-Bohm effect and Anderson-Higgs mechanism

  Quantum Physics (arXiv)

Summary: In this paper we study the Aharonov-Bohm (A-B) effect and Anderson-Higgs mechanism in Ginzburg-Landau model of superconductors from the perspective of the decomposition of U(1) gauge potential. By the Helmholtz theorem, we derive exactly the expression of the transverse gauge potential $\\vec{A}_\\perp$ in A-B experiment, which is gauge-invariant and physical. For the case of a bulk superconductor, we find that the gradient of the total phase field $\\theta$ provides the longitudinal component ${\\vec A}_{\\parallel}$, which reflects the Anderson-Higgs mechanism. For the case of a superconductor ring, the gradient of the longitudinal phase field $\\theta_1$ provides the longitudinal component ${\\vec A}_{\\parallel}$, while the transverse phase field $\\theta_2$ produces new physical effects such as the flux quantization inside a superconducting ring.

Jian-Feng Li; Yu Jiang; Wei-Min Sun; Hong-Shi Zong; Fan Wang
2011-10-09

255

Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: The formulation of noncommutative quantum mechanics as a quantum system represented in the space of Hilbert-Schmidt operators is used to systematically derive, using the standard time slicing procedure, the path integral action for a particle moving in the noncommutative plane and in the presence of a magnetic field and an arbitrary potential. Using this action, the equation of motion and the ground state energy for the partcle are obtained explicitly. The Aharonov-Bohm phase is derived using a variety of methods and several dualities between this system and other commutative and noncommutative systems are demonstrated. Finally, the equivalence of the path integral formulation with the noncommutative Schr\\"{o}dinger equation is also established.

Sunandan Gangopadhyay; Frederik G Scholtz
2014-01-08

256

On the spectrum of the Schrodinger Operator with Aharonov-Bohm Magnetic Field in quantum waveguide with Neumann window

  Mathematical Physics (arXiv)

Summary: In a previous study \\cite{n} we investigate the bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width $d$. We impose the Neumann boundary condition on a disc window of radius $a$ and Dirichlet boundary conditions on the remained part of the boundary of the strip. We proved that such system exhibits discrete eigenvalues below the essential spectrum for any $a>0$. In the present work we study the effect of a magnetic filed of Aharonov-Bohm type when the magnetic field is turned on this system. Precisely we prove that in the presence of such magnetic filed there is some critical values of $a_0>0$, for which we have absence of the discrete spectrum for $\\displaystyle 0<\\frac{a}{d}

H. Najar; M. Rayssi
2012-11-10

257

Effective Beam Separation Schemes for the Measurement of the Electric Aharonov-Bohm Effect in an Ion Interferometer

  Quantum Physics (arXiv)

Summary: We propose an experiment for the first proof of the type I electric Aharonov-Bohm effect in an ion interferometer for hydrogen. The performances of three different beam separation schemes are simulated and compared. The coherent ion beam is generated by a single atom tip (SAT) source and separated by either two biprisms with a quadrupole lens, two biprisms with an einzel-lens or three biprisms. The beam path separation is necessary to introduce two metal tubes that can be pulsed with different electric potentials. The high time resolution of a delay line detector allows to work with a continuous ion beam and circumvents the pulsed beam operation as originally suggested by Aharonov and Bohm. We demonstrate, that the higher mass and therefore lower velocity of ions compared to electrons combined with the high expected SAT ion emission puts the direct proof of this quantum effect for the first time into reach of current technical possibilities. Thereby a high coherent ion detection rate is crucial to avoid long integration times that allow the influence of dephasing noise from the environment. We can determine the period of the expected matter wave interference pattern and the signal on the detector by determining the superposition angle of the coherent partial beams. Our simulations were tested with an electron interferometer setup and agree with the experimental results. We determine the separation scheme with three biprisms to be most efficient and predict a total signal acquisition time of only 80 s to measure a phase shift from 0 to 2$\\pi$ due to the electric Aharonov-Bohm effect.

Georg Schütz; Alexander Rembold; Andreas Pooch; Henrike Prochel; Alexander Stibor
2014-12-19

258

Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem

  HEP - Theory (arXiv)

Summary: Delta-function potentials in two- and three-dimensional quantum mechanics are analyzed by the incorporation of the self-adjoint extension method to the path integral formalism. The energy-dependent Green functions for free particle plus delta-function potential systems are explicitly calculated. Also the energy-dependent Green function for the spin-1/2 Aharonov-Bohm problem is evaluated. It is found that the only one special value of the self-adjoint extension parameter gives a well-defined and non-trivial time-dependent propagator. This special value corresponds to the viewpoint of the spin-1/2 Aharonov-Bohm problem when the delta-function is treated as a limit of the infinitesimal radius.

D. K. Park
1994-05-04

259

A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential

  Quantum Physics (arXiv)

Summary: We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particles in the pure Aharonov-Bohm potential (infinitely thin solenoid). We present a pragmatic approach to the problem based on the orthogonalization of the radial solutions for different quantum numbers. Then we discuss a model of a scalar particle with a magnetic moment which allows to explain why the self-adjoint extension contains arbitrary parameters and give a physical interpretation.

Juergen Audretsch; Ulf Jasper; Vladimir D. Skarzhinsky
1995-03-07

260

Flux-dependent occupations and occupation difference in geometrically symmetric and energy degenerate double-dot Aharonov-Bohm interferometers

  Quantum Physics (arXiv)

Summary: We study the steady-state characteristics and the transient behavior of the nonequilibrium double-dot Aharonov-Bohm interferometer using analytical tools and numerical simulations. Our simple setup includes noninteracting degenerate quantum dots that are coupled to two biased metallic leads at the same strength. A magnetic flux $\\Phi$ is piercing the setup perpendicularly. As we tune the degenerate dots energies away from the symmetric point we observe four nontrivial magnetic flux control effects: (i) flux dependency of the dots occupation, (ii) magnetic flux induced occupation difference between the dots, at degeneracy, (iii) the effect of "phase-localization" of the dots coherence holds only at the symmetric point, while in general both real and imaginary parts of the coherence are nonzero, and (iv) coherent evolution survives even when the dephasing strength, introduced into our model using B\\"uttiker probe, is large and comparable to the dots energies and the bias voltage. Moreover, not only finite dephasing strength does not destroy the coherence features, it can provide new type of coherent oscillations. These four phenomena take place when the dots energies are gated, to be positioned away from the symmetric point, demonstrating that the combination of bias voltage, magnetic flux and gating field, can provide delicate controllability over the occupation of each of the quantum dots, and their coherence.

Salil Bedkihal; Malay Bandyopadhyay; Dvira Segal
2012-10-25

261

The Spin Interaction of a Dirac Particle in an Aharonov-Bohm Potential in First Order Scattering

  Mathematical Physics (arXiv)

Summary: For a Dirac particle in an Aharonov-Bohm (AB) potential, it is shown that the spin interaction (SI) operator which governs the transitions in the spin sector of the first order S-matrix is related to one of the generators of rotation in the spin space of the particle. This operator, which is given by the projection of the spin operator $\\mathbf{\\Sigma}$ along the direction of the total momentum of the system, and the two operators constructed from the projections of the $\\mathbf{\\Sigma}$ operator along the momentum transfer and the z-directions close the SU(2) algebra.It is suggested, then, that these two directions of the total momentum and the momentum transfer form some sort of natural intrinsic directions in terms of which the spin dynamics of the scattering process at first order can be formulated conveniently. A formulation and an interpretation of the conservation of helicity at first order using the spin projection operators along these directions is presented .

A. Albeed; M. S. Shikakhwa
2004-08-11

262

Classical electromagnetic interaction of a point charge and a magnetic moment: considerations related to the Aharonov-Bohm phase shift

  CiteSeer

Summary: A fundamentally new understanding of the classical electromagnetic interaction of a point charge and a magnetic dipole moment through order v 2 /c 2 is suggested. This relativistic analysis connects together hidden momentum in magnets, Solem’s strange polarization of the classical hydrogen atom, and the Aharonov–Bohm phase shift. First we review the predictions following from the traditional particleon-a-frictionless-rigid-ring model for a magnetic moment. This model, which is not relativistic to order v 2 /c 2, does reveal a connection between the electric field of the point charge and hidden momentum in the magnetic moment; however, the electric field back at the point charge due to the Faraday-induced changing magnetic moment is of order 1/c 4 and hence is negligible in a 1/c 2 analysis. Next we use a relativistic magnetic moment model consisting of many superimposed classical hydrogen atoms (and anti-atoms) interacting through the Darwin Lagrangian with an external charge but not with each other. The analysis of Solem regarding the strange polarization of the classical hydrogen atom is seen to give a fundamentally different mechanism for the electric field of the passing charge to change the

Timothy H. Boyer
2002-01-01

263

Effect of magnetic flux and of electron momentum on the transmission amplitude in the Aharonov-Bohm ring

  Quantum Physics (arXiv)

Summary: A characterization of the two-terminal open-ring Aharonov-Bohm interferometer is made by analyzing the phase space plots in the complex transmission amplitude plane. Two types of plots are considered: type I plot which uses the magnetic flux as the variable parameter and type II plot which uses the electron momentum as the variable parameter. In type I plot, the trajectory closes upon itself only when the ratio $R$ of the arm lengths (of the interferometer) is a rational fraction, the shape and the type of the generated flower-like pattern is sensitive to the electron momentum. For momenta corresponding to discrete eigenstates of the perfect ring (i.e. the ring without the leads), the trajectory passes through the origin a certain fixed number of times before closing upon itself, whereas for arbitrary momenta it never passes through the origin. Although the transmission coefficient is periodic in the flux with the elementary flux quantum as the basic period, the phenomenon of electron transmission is shown not to be so when analyzed via the present technique. The periodicity is seen to spread over several flux units whenever $R$ is a rational fraction whereas there is absolutely no periodicity present when $R$ is an irrational number. In type II plot, closed trajectories passing through the origin a number of times are seen for $R$ being a rational fraction. The case R=1 (i.e. a symmetric ring) with zero flux is rather pathological--it presents a closed loop surrounding the origin. For irrational $R$ values, the trajectories never close.

M. V. Amaresh Kumar; Debendranath Sahoo
2005-06-25

264

VOLUME 87, NUMBER 15 P H Y S I C A L R E V I E W L E T T E R S 8 OCTOBER 2001 Kondo Correlations and the Fano Effect in Closed Aharonov-Bohm Interferometers

  Physics Websites

Summary: and the Fano Effect in Closed Aharonov-Bohm Interferometers Walter Hofstetter,1 Jürgen König,2,3 and Herbert of the lin- ear conductance G w , which shows a frequency doubling and a maximum at w p 2. Here, F


265

The Single-Particle density of States, Bound States, Phase-Shift Flip, and a Resonance in the Presence of an Aharonov-Bohm Potential

  HEP - Theory (arXiv)

Summary: Both the nonrelativistic scattering and the spectrum in the presence of the Aharonov-Bohm potential are analyzed. The single-particle density of states (DOS) for different self-adjoint extensions is calculated. The DOS provides a link between different physical quantities and is a natural starting point for their calculation. The consequences of an asymmetry of the S matrix for the generic self-adjoint extension are examined. I. Introduction II. Impenetrable flux tube and the density of states III. Penetrable flux tube and self-adjoint extensions IV. The S matrix and scattering cross sections V. The Krein-Friedel formula and the resonance VI. Regularization VII. The R --> 0 limit and the interpretation of self-adjoint extensions VIII. Energy calculations IX. The Hall effect in the dilute vortex limit X. Persistent current of free electrons in the plane pierced by a flux tube XI. The 2nd virial coefficient of nonrelativistic interacting anyons XII. Discussion of the results and open questions

Alexander Moroz
1996-02-08

266

Real-time dynamics of spin-dependent transport through a double-quantum-dot Aharonov-Bohm interferometer with spin-orbit interaction

  Quantum Physics (arXiv)

Summary: The spin-resolved non-equilibrium real-time electron transport through a double-quantum-dot (DQD) Aharonov-Bohm (AB) interferometer with spin-orbit interaction (SOI) is explored. The SOI and AB interference in the real-time dynamics of spin transport is expressed by effective magnetic fluxes. Analytical formulae for the time-dependent currents, for initially unpolarized spins, are presented. In many cases, there appear spin currents in the electrodes, for which the spins in each electrode are polarized along characteristic directions, pre-determined by the SOI parameters and by the geometry of the system. Special choices of the system parameters yield steady-state currents in which the spins are fully polarized along these characteristic directions. The time required to reach this steady state depends on the couplings of the DQD to the leads. The magnitudes of the currents depend strongly on the SOI-induced effective fluxes. Without the magnetic flux, the spin-polarized current cannot be sustained to the steady states, due to the phase rigidity for this system. For a non-degenerate DQD, transient spin transport can be produced by the sole effects of SOI. We also show that one can extract the spin-resolved currents from measurements of the total charge current.

Matisse Wei-Yuan Tu; Amnon Aharony; Wei-Min Zhang; Ora Entin-Wohlman
2014-10-02

267

Observability of the scalar Aharonov-Bohm effect inside a 3D Faraday cage with time-varying exterior charges and masses

  CERN Preprints

Summary: In this paper we investigate the scalar Aharonov-Bohm (AB) effect in two of its forms, i.e., its electric form and its gravitational form. The standard form of the electric AB effect involves having particles (such as electrons) move in regions with zero electric field but different electric potentials. When a particle is recombined with itself, it will have a different phase, which can show up as a change in the way the single particle interferes with itself when it is recombined with itself. In the case where one has quasi-static fields and potentials, the particle will invariably encounter fringing fields, which makes the theoretical and experimental status of the electric AB effect much less clear than that of the magnetic (or vector) AB effect. Here we propose using time varying fields outside of a spherical shell, and potentials inside a spherical shell to experimentally test the scalar AB effect. In our proposal a quantum system will always be in a field-free region but subjected to a non-zero time-var...

Chiao, R Y; Sundqvist, K M; Inan, N A; Munoz, G A; Singleton, D A; Kang, B S; Martinez, L A
2014-01-01

268

Novel Aharonov-Bohm-like effect: Detectability of the vector potential in a solenoidal configuration with a ferromagnetic core covered by superconducting lead, and surrounded by a thin cylindrical shell of aluminum

  Quantum Physics (arXiv)

Summary: The flux as measured by the Josephson effect in a SQUID-like configuration with a ferromagnetic core inserted into its center, is shown to be sensitive to the vector potential arising from the central ferromagnetic core, even when the core is covered with a superconducting material that prevents any magnetic field lines from ever reaching the perimeter of the SQUID-like configuration. This leads to a macroscopic, Aharonov-Bohm-like effect that is observable in an asymmetric hysteresis loop in the response of the SQUID-like configuration to an externally applied magnetic field.

R. Y. Chiao
2012-06-23

269

Hysteretic method for measuring the flux trapped within the core of a superconducting lead-coated ferromagnetic torus by a linked superconducting tin ring, in a novel Aharonov-Bohm-like effect based on the Feynman path-integral principle

  CERN Preprints

Summary: A novel kind of nonlocal, macroscopic Aharonov-Bohm effect involving two topologically linked superconducting rings made out of two different materials, namely, lead and tin, is suggested for experimental observation, in which the lead ring is a torus containing a core composed of permanently magnetized ferromagnetic material. It is predicted that the remnant fields in a hysteresis loop induced by the application of a magnetic field imposed by a large external pair of Helmholtz coils upon the tin ring, will be asymmetric with respect to the origin of the loop. An appendix based on Feynman's path-integral principle is the basis for these predictions.

Chiao, Raymond
2012-01-01

270

APS March Meeting 2005APS March Meeting 2005 Luis Dias da SilvaLuis Dias da SilvaPolarization effects in the opticalPolarization effects in the optical AharonovAharonov--BohmBohm oscillations in quantum rings.oscillations in quantum rings.

  Physics Websites

Summary: APS March Meeting 2005APS March Meeting 2005 Luis Dias da SilvaLuis Dias da Silva in the opticaloptical AharonovAharonov--BohmBohm oscillations in quantum rings.oscillations in quantum rings. Luis Dias da SilvaLuis Dias da Silva -- Ohio UniversityOhio University Collaborators:Collaborators: Sergio

Dias, Luis Gregório

271

Darwin-Lagrangian Analysis for the Interaction of a Point Charge and a Magnet: Considerations Related to the Controversy Regarding the Aharonov-Bohm and Aharonov-Casher Phase Shifts

  Physics (arXiv)

Summary: The classical electromagnetic interaction of a point charge and a magnet is discussed by first calculating the interaction of point charge with a simple model magnetic moment and then suggesting a multiparticle limit. The Darwin Lagrangian is used to analyze the electromagnetic behavior of the model magnetic moment (composed of two oppositely charged particles of different mass in an initially circular orbit) interacting with a passing point charge. The changing mangetic moment is found to put a force back on a passing charge; this force is of order 1/c^2 and depends upon the magnitude of the magnetic moment. It is suggested that in the limit of a multiparticle magnetic toroid, the electric fields of the passing charge are screened out of the body of the magnet while the magnetic fields penetrate into the magnet. This is consistent with our understanding of the penetration of electromagnetic velocity fields into ohmic conductors. Conservation laws are discussed. The work corresponds to a classical electromagnetic analysis of the interaction which is basic to understanding the controversy over the Aharonov-Bohm and Aharonov-Casher phase shifts and represents a refutation of the suggestions of Aharonov, Pearle, and Vaidman.

Timothy H. Boyer
2005-06-23

272

Time crystal phase in a superconducting ring

  CERN Preprints

Summary: We demonstrate a possible setup to exhibit the spontaneous symmetry breaking of the time translation symmetry. Here we consider a quasi-one-dimensional superconducting ring with a static Zeeman magnetic field applied along the ring and static Aharonov-Bohm magnetic flux penetrating the ring. The superconducting ring with magnetic flux produces a persistent current, whereas the Zeeman split of Fermi energy results in the spatial modulation of the pair potential. We show that these two magnetic fields stabilize the twisted kink crystal (Fulde-Ferrel-Larkin-Ovchinnikov) phase, in which both the phase and amplitude have spatial modulations. In this phase, the time translation symmetry is spontaneously broken.

Yoshii, Ryosuke; Tsuchiya, Shunji; Marmorini, Giacomo; Hayakawa, Hisao; Nitta, Muneto
2014-01-01

273

Time crystal phase in a superconducting ring

  HEP - Theory (arXiv)

Summary: We demonstrate a possible setup to exhibit the spontaneous symmetry breaking of the time translation symmetry. Here we consider a quasi-one-dimensional superconducting ring with a static Zeeman magnetic field applied along the ring and static Aharonov-Bohm magnetic flux penetrating the ring. The superconducting ring with magnetic flux produces a persistent current, whereas the Zeeman split of Fermi energy results in the spatial modulation of the pair potential. We show that these two magnetic fields stabilize the twisted kink crystal (Fulde-Ferrel-Larkin-Ovchinnikov) phase, in which both the phase and amplitude have spatial modulations. In this phase, the time translation symmetry is spontaneously broken.

Ryosuke Yoshii; Satoshi Takada; Shunji Tsuchiya; Giacomo Marmorini; Hisao Hayakawa; Muneto Nitta
2014-04-14

274

J. Phys. III Yance 7 (1997) 1515-1520 JULY 1997, PAGE 1515 Aharonov-Bohm Interference of Holes at Dislocations in

  Computer Technologies and Information Sciences Websites

Summary: interference of holes in macroscopic semiconductor sample containing an array of straight-line dislocations interference ill, is now widely observed as magnetoresistance oscillations in metallic or doped in a macroscopic sample, that is in a piece of semiconductor crystal containing an array of parallel dislocations

Boyer, Edmond

275

Optical theorem for Aharonov-Bohm scattering

  CERN Preprints

Summary: Quantum-mechanical scattering off an impermeable magnetic vortex is considered and the optical theorem is derived. The nonvanishing transverse size of the vortex is taken into account, and the Robin boundary condition is imposed on the particle wave function at the edge of the vortex. The persistence of the Fraunhofer diffraction in the short-wavelength limit is shown to be crucial for maintaining the optical theorem in the quasiclassical limit.

Sitenko, Yu A
2011-01-01

276

The Aharonov-Bohm Problem Revisited

  HEP - Theory (arXiv)

Summary: The properties of a nonrelativistic charged particle in two dimensions in the presence of an arbitrary number of nonquantized magnetic fluxes are investigated in free space as well as in a uniform magnetic field. The fluxes are represented mathematically as branch points in one of the complex coordinates. It is found that in order to construct solutions, the fluxes have to be treated in general as dynamical objects dual to the charges. A medium made up of fluxes acts like an anti-magnetic field and tends to expel the charges.

Yoichiro Nambu
1998-10-22

277

The Casimir-Aharonov-Bohm effect?

  HEP - Theory (arXiv)

Summary: The combined effect of the magnetic field background in the form of a singular vortex and the Dirichlet boundary condition at the location of the vortex on the vacuum of quantized scalar field is studied. We find the induced vacuum energy density and current to be periodic functions of the vortex flux and holomorphic functions of the space dimension.

Yu. A. Sitenko; A. Yu. Babansky
1997-10-24

278

The Aharonov Bohm effect unrevealed by

  Physics Websites

Summary: and the experimental setup - Theory The Zone Foldoing model for carbon nanotubes - Ab-initio approach and results Zone to carbon nanotubes Band structure from -* orbitals Curvature of the tubes not considered in the model,0) r=10.36 Bohr r=5.94 Bohr 2 metallic tubes (8,8) (5,5) r=10.22 Bohr r=6.41 Bohr 1 Double walled (5

Marini, Andrea

279

Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations

  Quantum Physics (arXiv)

Summary: We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal states of the ions to laser beams propagating along the symmetry axis, we study the effective Ising spin-spin interactions that are mediated via the axial phonons and are less sensitive to ion micromotion. We find that the axial mode frequencies permit the programming of Ising interactions with inverse power law spin-spin couplings that can be tuned from uniform to $r^{-3}$ with DC voltages. Such a trap could allow for interesting new geometrical configurations for quantum simulations on moderately sized systems including frustrated magnetism on triangular lattices or Aharonov-Bohm effects on ion tunneling. The trap also incorporates periodic boundary conditions around loops which could be employed to examine time crystals.

Bryce Yoshimura; Marybeth Stork; Danilo Dadic; W. C. Campbell; J. K. Freericks
2014-06-20

280

Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations

  CERN Preprints

Summary: We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal states of the ions to laser beams propagating along the symmetry axis, we study the effective Ising spin-spin interactions that are mediated via the axial phonons and are less sensitive to ion micromotion. We find that the axial mode frequencies permit the programming of Ising interactions with inverse power law spin-spin couplings that can be tuned from uniform to $r^{-3}$ with DC voltages. Such a trap could allow for interesting new geometrical configurations for quantum simulations on moderately sized systems including frustrated magnetism on triangular lattices or Aharonov-Bohm effects on ion tunneling. The trap also incorporates periodic boundary conditions around loops which could be employed to examine time crystals.

Yoshimura, Bryce; Dadic, Danilo; Campbell, W C; Freericks, J K
2014-01-01

281

Aharonov-Bohm effect in curved space and cosmic strings

  Mathematical Physics (arXiv)

Summary: A quantum theory is developed for the scattering of a nonrelativistic particle in the field of a cosmic string regarded as a combination of a magnetic and gravitational strings. Allowance is made for the effects due to the finite transverse dimensions of the string under fairly general assumptions about the distribution of the magnetic field and spatial curvature in the string. It is shown that in a definite range of angles the differential cross section at all absolute values of the wave vector of the incident particle depends strongly on the magnetic flux of the string.

Yurii Sitenko; Alexei Mishchenko
1997-11-17

282

Eigenvalues variations for Aharonov-Bohm Corentin Lna

  Physics Websites

Summary: Chapter IV LNA Design and Optimization 84 Chapter IVChapter IVChapter IVChapter IV Low Noise Amplifier Design and Optimization IV.1 CMOS LNA Design and Optimization Overview Low Noise Amplifier (LNA with different configurations have been proposed for LNA, in different applications. After choosing proper

Paris-Sud XI, Université de

283

Mathematical justification of the Aharonov-Bohm hamiltonian

  Mathematics Websites

Summary: , centered at the origin and axis in the z direction, there is a constant magnetic field B = (0, 0, B charge q) outside the solenoid has no contact with its interior, particularly with the magnetic field B. If A is the vector potential generating this magnetic field, that is, B = Ã? A, the usual hamiltonian operator


284

Induced Current and Aharonov-Bohm Effect in Graphene

  Mathematical Physics (arXiv)

Summary: The effect of vacuum polarization in the field of an infinitesimally thin solenoid at distances much larger than the radius of solenoid is investigated. The induced charge density and induced current are calculated. Though the induced charge density turned out to be zero, the induced current is finite periodical function of the magnetic flux $\\Phi$. The expression for this function is found exactly in a value of the flux. The induced current is equal to zero at the integer values of $\\Phi/\\Phi_0$ as well as at half-integer values of this ratio, where $\\Phi_0=2\\pi\\hbar c/e$ is the elementary magnetic flux. The latter is a consequence of the Furry theorem and periodicity of the induced current with respect to magnetic flux. As an example we consider the graphene in the field of solenoid perpendicular to the plane of a sample.

R. Jackiw; A. I. Milstein; S. -Y. Pi; I. S. Terekhov
2009-07-20

285

The Aharonov-Bohm effect in conical space

  HEP - Theory (arXiv)

Summary: Conical space emerges inevitably as an outer space of any topological defect of the vortex type. Quantum-mechanical scattering of a nonrelativistic particle by a vortex centred in conical space is considered, and effects of the transverse size of the vortex are taken into account. Paradoxical peculiarities of scattering in the short-wavelength limit are discussed.

Yu. A. Sitenko; N. D. Vlasii
2010-06-03

286

Comment on Macroscopic Test of the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: In this Comment it is shown that it cannot be argued that in the magnetic AB effect there is no force acting on the particle, i.e., that the observed phase shift is entirely due to nonzero vector potential. In stationary resistive conductors carrying constant currents there are quasistatic surface charges, which generate not only the electric field inside the wire driving the current, but also a static electric field outside it. These external static electric fields have nothing to do with Boyer's force picture and with his result for the existence of a time delay.

Tomislav Ivezic
2014-06-04

287

Spectral Zeta Functions for Spherical Aharonov-Bohm Quantum Bags

  HEP - Theory (arXiv)

Summary: We study the sum $\\ds\\zeta_H(s)=\\sum_j E_j^{-s}$ over the eigenvalues $E_j$ of the Schrdinger equation in a spherical domain with Dirichlet walls, threaded by a line of magnetic flux. Rather than using Green's function techniques, we tackle the mathematically nontrivial problem of finding exact sum rules for the zeros of Bessel functions $J_{\

E. Elizalde; S. Leseduarte; A. Romeo
1992-12-16

288

Global Strings and the Aharonov-Bohm Effect

  HEP - Phenomenology (arXiv)

Summary: When a fermion interacts with a global vortex or cosmic string a solenoidal "gauge" field is induced. This results in a non-trivial scattering cross-section. For scalars and non-relativistic fermions the cross-section is similar to that of Aharonov and Bohm, but with corrections. A cosmological example is compared to one in liquid He$^{3}$-A and important differences are discovered.

A. C. Davis; A. P. Martin
1993-11-01

289

Bremsstrahlung of relativistic electrons in the Aharonov-Bohm potential

  HEP - Theory (arXiv)

Summary: We investigate the scattering of an electron by an infinitely thin and infinitely long straight magnetic flux tube in the framework of QED. We discuss the solutions of the Dirac and Maxwell fields in the related external pure AB potential and evaluate matrix elements and differential probabilities for the bremsstrahlung process. The dependence of the resulting cross section on the energy, direction and polarization of the involved particles is analyzed. In the low energy regime a surprising angular asymmetry is found which results from the interaction of the electron's magnetic moment with the magnetic field.

J. Audretsch; Ulf. Jasper; V. D. Skarzhinsky
1997-09-18

290

The Dynamical Mechanism of the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: In this paper, it is emphasized that the dynamical cause for the A-B effect is the superimposed energy between the magnetic field produced by the moving charges and that in the solenoid, instead of the existence of the vector potential. If such a superposition between the magnetic fields can be eliminated, the A-B effect should not be observed any more. To verify this viewpoint, a new experimental method using a SQUID is suggested in this paper.

R. F. Wang
2007-05-28

291

Semifluxon degeneracy choreography in Aharonov-Bohm billiards

  Quantum Physics (arXiv)

Summary: Every energy level of a charged quantum particle confined in a region threaded by a magnetic flux line with quantum flux one-half must be degenerate for some position of the semifluxon within the boundary B. This is illustrated by computations for which B is a circle and a conformal transformation of a circle without symmetry. As the shape of B is varied, two degeneracies between the same pair of levels can collide and annihilate. Degeneracy of three levels requires three shape parameters, or the positions of three semifluxons; degeneracy of N levels can be generated by int{N(N+1)/4} semifluxons. The force on the semifluxon is derived.

M V Berry; S Popescu
2010-01-13

292

Induced Current and Aharonov-Bohm Effect in Graphene

  CERN Preprints

Summary: The effect of vacuum polarization in the field of an infinitesimally thin solenoid at distances much larger than the radius of solenoid is investigated. The induced charge density and induced current are calculated. Though the induced charge density turned out to be zero, the induced current is finite periodical function of the magnetic flux $\\Phi$. The expression for this function is found exactly in a value of the flux. The induced current is equal to zero at the integer values of $\\Phi/\\Phi_0$ as well as at half-integer values of this ratio, where $\\Phi_0=2\\pi\\hbar c/e$ is the elementary magnetic flux. The latter is a consequence of the Furry theorem and periodicity of the induced current with respect to magnetic flux. As an example we consider the graphene in the field of solenoid perpendicular to the plane of a sample.

Jackiw, R; Pi, S -Y; Terekhov, I S
2009-01-01

293

Induced current and Aharonov-Bohm effect in graphene

  MIT - DSpace

Summary: The effect of vacuum polarization in the field of an infinitesimally thin solenoid at distances much larger than the radius of solenoid is investigated. The induced charge density and induced current are calculated. Though ...

Jackiw, Roman

294

Detecting Noncommutative Phase Space by Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: Noncommutative phase space plays an essential role in particle physics and quantum gravity at the Planck scale. However, direct experimental evidence or observation to demonstrate the existence of noncommutative phase space is still lacking.We study a quantum ring in noncommutative phase space based on the Seiberg-Witten map and give the effective magnetic potential and field coming from the noncommutative phase space, which induces the persistent current in the ring. We introduce two variables as two signatures to detect the noncommutative phase space and propose an experimental scheme to detect the noncommutative phase space as long as we measure the persistent current and the external magnetic flux.

Shi-Dong Liang; Haoqi Li; Guang-Yao Huang
2015-02-02

295

Aharonov-Bohm Problem for Spin-One

  HEP - Theory (arXiv)

Summary: The basic AB problem is to determine how an unshielded tube of magnetic flux $\\Phi$ affects arbitrarily long-wavelength charged particles impinging on it. For spin-1 at almost all $\\Phi$ the particles do not penetrate the tube, so the interaction essentially is periodic in $\\Phi$ (AB effect). Below-threshold bound states move freely only along the tube axis, and consequent induced vacuum currents supplement rather than screen $\\Phi$. For a pure magnetic interaction the tube must be broader than the particle Compton wavelength, i.e., only the nonrelativistic spin-1 AB problem exists.

M. L. Horner; Alfred S. Goldhaber
1997-02-12

296

Anomaly and Thermodynamics for 2D Spinors in the Aharonov--Bohm Gauge Field

  HEP - Theory (arXiv)

Summary: The axial anomaly is computed for Euclidean Dirac fermions on the plane. The dependence upon the self-adjoint extensions of the Dirac operator is investigated and its relevance concerning the second virial coefficient of the anyon gas is discussed.

P. Giacconi; F. Maltoni; R. Soldati
1994-09-19

297

Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square

  Physics Websites

Summary: and application to minimal partitions V. Bonnaillie-No¨el and B. Helffer October 29, 2009 Abstract Using candidates for minimal k-partitions of the square with a specific topolog- ical type. This illustrates also for the minimal 3 and 5-partitions on the square. 1 Introduction The recent papers [12] and [3] have shown

Paris-Sud XI, Université de

298

AharonovBohm-type Effects in Triangular Antidot Lattice Yaushiro IYE

  Physics Websites

Summary: . The oscillation periods of Altshuler­Aronov­Spivak (AAS) effect and AB-type effect near zero magnetic field mechanisms of the AAS and AB-type oscillations near zero magnetic field as well as the high-field AB- type of electron waves and was called Altshuler­Aronov­ Spivak (AAS) effect.3) Observation of the AB oscillation

Iye, Yasuhiro

299

Coulomb blockade double-dot Aharonov-Bohm interferometer: harmonic decomposition of the interference pattern

  Quantum Physics (arXiv)

Summary: For the solid state double-dot interferometer, the phase shifted interference pattern induced by the interplay of inter-dot Coulomb correlation and multiple reflections is analyzed by harmonic decomposition. Unexpected result is uncovered, and is discussed in connection with the which-path detection and electron loss.

Feng Li; HuJun Jiao; Hui Wang; JunYan Luo; Xin-Qi Li
2009-06-19

300

PRB/LA13144B Aharonov-Bohm Exciton Absorption Splitting in Chiral Specific

  Materials Science Websites

Summary: The Ajiki-Ando (A-A) splitting of single-walled carbon nanotubes(SWNT) originating from the Aharanov at magnetic fields of up to 78 T. The absorption spectra from each chirality showed clear A-A splitting and the rate of A-A splitting in a magnetic field were determined for the first time from the well

Maruyama, Shigeo

301

Dynamics of a classical Hall system driven by a time-dependent Aharonov-Bohm flux

  Mathematics Websites

Summary: background, and driven by a time-dependent singular flux tube through the hole. We exhibit a striking de localization effect: when the electric background is absent we prove that a linearly time-dependent flux tube, the drifting center eventually gets pinned by the flux tube whereas the kinetic energy is grow- ing

Asch, Joachim

302

Aharonov-Bohm effect and geometric phase And all I wanted was a complex carrot.

  Physics Websites

Summary: ) is a good launching point for studies of conical intersections in molecules. Like most scientific an extraordin- ary life: maligned during the McCarthy witch-hunt era (including being arrested and being fired

Johannesson, Henrik

303

Coherent and semiclassical states in magnetic field in the presence of the Aharonov-Bohm solenoid

  HEP - Theory (arXiv)

Summary: A new approach to constructing coherent states (CS) and semiclassical states (SS) in magnetic-solenoid field is proposed. The main idea is based on the fact that the AB solenoid breaks the translational symmetry in the xy-plane, this has a topological effect such that there appear two types of trajectories which embrace and do not embrace the solenoid. Due to this fact, one has to construct two different kinds of CS/SS, which correspond to such trajectories in the semiclassical limit. Following this idea, we construct CS in two steps, first the instantaneous CS (ICS) and the time dependent CS/SS as an evolution of the ICS. The construction is realized for nonrelativistic and relativistic spinning particles both in (2+1)- and (3+1)- dimensions and gives a non-trivial example of SS/CS for systems with a nonquadratic Hamiltonian. It is stressed that CS depending on their parameters (quantum numbers) describe both pure quantum and semiclassical states. An analysis is represented that classifies parameters of the CS in such respect. Such a classification is used for the semiclassical decompositions of various physical quantities.

V. G. Bagrov; S. P. Gavrilov; D. M. Gitman; D. P. Meira Filho
2010-08-10

304

Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux

  Mathematical Physics (arXiv)

Summary: We study the dynamics of a classical particle moving in a punctured plane under the influence of a strong homogeneous magnetic field, an electrical background, and driven by a time-dependent singular flux tube through the hole. We exhibit a striking classical (de)localization effect: in the far past the trajectories are spirals around a bound center; the particle moves inward towards the flux tube loosing kinetic energy. After hitting the puncture it becomes ``conducting'': the motion is a cycloid around a center whose drift is outgoing, orthogonal to the electric field, diffusive, and without energy loss.

J. Asch; P. Stovicek
2006-09-13

305

ON THE MATHEMATICAL THEORY OF THE AHARONOV-BOHM Ph. Roux and D. Yafaev

  Mathematics Websites

Summary: coordinates (r; #18;), and for every #12;xed angular momentum m = 0; #6;1; #6;2; : : : the radial equation u, yafaev@univ-rennes1.fr Abstract We consider the Schrodinger operator H = (ir +A) 2 in the space L 2 (R 2 ) with a magnetic potential A(x) = a(^x)( x 2 ; x 1 )jxj 2 , where a is an arbitrary function on the unit circle


306

Comment on "Aharonov-Casher and Scalar Aharonov-Bohm Topological Effects"

  Quantum Physics (arXiv)

Summary: In this Comment we point out (i) that the Hamiltonian, Eq. (17) in the Letter(Phys. Rev. Lett. 108, 070405 (2012)), is not a relativistic Hamiltonian, (ii) then that the conditions in the Letter are irrelevant for a topological AC and SAB effects, and (iii) conclusively that the non-relativistic Hamiltonian employed by Peshkin and Lipkin (Phys. Rev. Lett. 74, 2847 (1995)) has the same $U(1)_{mm}$ gauge structure for a fixed spin and then is not wrong, but their incorrect interpretation of the spin autocorrelations led to the incorrect conclusion.

Taeseung Choi; Sam Young Cho
2013-11-16

307

Pauli Approximations to the Self-Adjoint Extensions of the Aharonov-Bohm Hamiltonian

  Mathematics Websites

Summary: . a Department of Mathematical Physics, University College Dublin (National University of Ireland, Dublin), Belfield, Dublin 4, Ireland. b e-mail: james.borg@um.edu.mt c on leave of absence from Department of Theoretical Physics, Dublin Institute for Advanced Studies. #12;Pauli Approximations to the Aharonov


308

Generalized Aharonov-Bohm effect and topological states in graphene nanorings

  Physics Websites

Summary: -Lagrange equation D1 D2 (Symmetry breaking)/ #12;Conclusions 1) The 1D Dirac-Kronig-Penney superlattice model Hexagon 2718 2688 w=14 w=16 #12;Dirac-Kronig-Penney Superlattice 1D Generalized Dirac equation a and b soliton (Dirac eq.) 1 constant mass Dirac fermion 2 kink soliton/ zero-energy fermionic soliton Euler

Yannouleas, Constantine

309

Physica E 34 (2006) 534537 AharonovBohm-type effects in different arrays of antidots

  Physics Websites

Summary: Physica E 34 (2006) 534­537 Aharonov­Bohm-type effects in different arrays of antidots Masanori of square arrays of antidots; a large (50 � 160 antidots) array, a small (5 � 10 antidots) array zero magnetic field in square arrays of antidots. r 2006 Elsevier B.V. All rights reserved. PACS: 74

Iye, Yasuhiro

310

Resistance Fluctuations and AharonovBohm-Type Oscillations in Antidot Arrays in the Quantum Hall Regime

  Physics Websites

Summary: in the quantum Hall regime are studied. Magnetoresistance of finite antidot array systems in the quantum HallResistance Fluctuations and Aharonov­Bohm-Type Oscillations in Antidot Arrays in the Quantum Hall in the present case. KEYWORDS: GaAs/AlGaAs, two-dimensional electron system, quantum Hall effect, antidot array

Iye, Yasuhiro

311

Transport, Aharonov-Bohm, and Topological Effects in Graphene Molecular Junctions and Graphene Nanorings

  CERN Preprints

Summary: The unique ultra-relativistic, massless, nature of electron states in two-dimensional extended graphene sheets, brought about by the honeycomb lattice arrangement of carbon atoms in two-dimensions, provides ingress to explorations of fundamental physical phenomena in graphene nanostructures. Here we explore the emergence of new behavior of electrons in atomically precise segmented graphene nanoribbons (GNRs) and graphene rings with the use of tight-binding calculations, non-equilibrium Green's function transport theory, and a newly developed Dirac continuum model that absorbs the valence-to-conductance energy gaps as position-dependent masses, including topological-in-origin mass-barriers at the contacts between segments. Through transport investigations in variable-width segmented GNRs with armchair, zigzag, and mixed edge terminations we uncover development of new Fabry-Perot-like interference patterns in segmented GNRs, a crossover from the ultra-relativistic massless regime, characteristic of extended gra...

Yannouleas, Constantine; Landman, Uzi
2015-01-01

312

Aharonov-Bohm E ect and Time-Dependent Inverse Scattering Ricardo Weder y

  Mathematics Websites

Summary: , it reduces to a problem in R 2 . We #12;rst consider an unshielded magnetic #12;eld that has a singular part. We then consider the case where the singular part of the magnetic #12;eld is shielded inside a cylinder whose transversal section is compact set K, and there is also a regular magnetic #12;eld


313

Interaction between a moving electron and magnetic flux in Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The back-action exerted by the moving electron on the magnetic flux in the A-B effect is analyzed. It is emphasized that a reasonable interpretation on the A-B effect should be consistent with the uncertain principle. If the back-action on the magnetic flux is reduced to zero, the A-B effect should not be observed, even through the vector potential still exists in space. To verify this interpretation, a new experimental scheme is proposed in this paper.

Wang Rui-Feng
2013-12-21

314

On the dynamics created by a time--dependent Aharonov-Bohm flux

  CERN Preprints

Summary: We study the dynamics of classical and quantum particles moving in a punctured plane under the influence of a homogeneous magnetic field and driven by a time-dependent singular flux tube through the hole.

Asch, J
2007-01-01

315

Non-Abelian Aharonov-Bohm Scattering of Spin 1/2 Particles

  HEP - Theory (arXiv)

Summary: We study the low energy regime of the scattering of two fermionic particles carrying isospin 1/2 and interacting through a non-Abelian Chern-Simons field. We calculate the one-loop scattering amplitude for both the nonrelativistic and also for the relativistic theory. In the relativistic case we introduce an intermediate cutoff, separating the regions with low and high loop momenta integration. In this procedure purely relativistic field theory effects as the vacuum polarization and anomalous magnetic moment corrections are automatically incorporated.

M. Gomes; L. C. Malacarne; A. J. da Silva
2000-04-24

316

Scaling of Aharonov-Bohm couplings and the dynamical vacuum in gauge theories

  HEP - Phenomenology (arXiv)

Summary: Recent results on the vacuum polarization induced by a thin string of magnetic flux lead us to suggest an analogue of the Copenhagen `flux spaghetti' QCD vacuum as a possible mechanism for avoiding the divergence of perturbative QED, thus permitting consistent completion of the full, nonperturbative theory. The mechanism appears to operate for spinor, but not scalar, QED.

Alfred S. Goldhaber; Hsiang-Nan Li; Rajesh R. Parwani
1993-05-03

317

Dynamics of a classical Hall system driven by a time-dependent AharonovBohm flux

  Mathematics Websites

Summary: . In the mathematical physics literature Bellissard et al. [5] and Avron, Seiler, Simon [3], [4] used an adiabatic limit in the experiments [13]. See [7, 10, 8, 9, 11] for recent developments. We discussed the adiabatics of the quantum the constant magnetic field is present, the particle follows the Landau orbits; these are circles around


318

An inverse scattering problem with the AharonovBohm effect Francois Nicoleau

  Mathematics Websites

Summary: , the electromagnetic field strength describes completely the electromagnetic effects (Lorentz force). In quantum the scattering of an electron off an impenetrable solenoid and found an effect (interferences). This showed that in quantum mechanics, the electromagnetic field acts on charged particles even in a region where this field

Nicoleau, François

319

Semiclassical Explanation of the Matteucci-Pozzi and Aharonov-Bohm Phase Shifts

  Quantum Physics (arXiv)

Summary: Classical electromagnetic forces can account for the experimentally observed phase shifts seen in an electron interference pattern when a line of electric dipoles or a line of magnetic dipoles (a solenoid) is placed between the electron beams forming the interference pattern.

Timothy H. Boyer
2001-07-19

320

Breaking of phase symmetry in nonequilibrium Aharonov-Bohm oscillations through a quantum dot

  Materials Science Websites

Summary: -particle picture3 and is, in fact, a manifestation of more general linear-response Onsager-Büttiker symmetries.4 is highly nonmonotonous. In particu- lar, i the oscillations indeed remain symmetric up to the onset of i

Ihn, Thomas

321

The Aharonov-Bohm effect: Mathematical Aspects of the Quantum Flow

  Mathematical Physics (arXiv)

Summary: This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the first approach, the quantum flow is studied via a one-parameter family of complex potentials. In the second approach, the qualitative theory of planar differential equations is used to obtain a one-parameter family of Hamiltonian functions which determine the phase portraits of the systems.

Luis Fernando Mello; Yuri Cândido Ribeiro
2007-01-08

322

Random Aharonov-Bohm vortices and some exact families of integrals: Part III

  Mathematical Physics (arXiv)

Summary: As a sequel to [1] and [2], I present some recent progress on Bessel integrals $\\int_0^{\\infty}{\\rmd u}\\; uK_0(u)^{n}$, $\\int_0^{\\infty}{\\rmd u}\\; u^{3}K_0(u)^{n}$, ... where the power of the integration variable is odd and where $n$, the Bessel weight, is a positive integer. Some of these integrals for weights n=3 and n=4 are known to be intimately related to the zeta numbers zeta(2) and zeta(3). Starting from a Feynman diagram inspired representation in terms of n dimensional multiple integrals on an infinite domain, one shows how to partially integrate to n-2 dimensional multiple integrals on a finite domain. In this process the Bessel integrals are shown to be periods. Interestingly enough, these "reduced" multiple integrals can be considered in parallel with some simple integral representations of zeta numbers. One also generalizes the construction of [2] on a particular sum of double nested Bessel integrals to a whole family of double nested integrals. Finally a strong PSLQ numerical evidence is shown to support a surprisingly simple expression of zeta(5) as a linear combination with rational coefficients of Bessel integrals of weight n= 8.

Stephane Ouvry
2014-01-30

323

Phase measurements in quantum mechanics: The Aharonov-Bohm interferometer and quantum noise

  Chemistry Websites

Summary: . The quantum dot, which can capture or scatter electrons, is in the center. #12;Figure 2: Right: electrodes via a quantum dot (QD) located on one of the paths. This intrinsic phase is important for studies through a quantum dot was shown to also contain information on the transmission phase. Figure 1

Vardi, Amichay

324

Scattering and self-adjoint extensions of the Aharonov-Bohm hamiltonian

  CERN Preprints

Summary: We consider the hamiltonian operator associated with planar sec- tions of infinitely long cylindrical solenoids and with a homogeneous magnetic field in their interior. First, in the Sobolev space $\\mathcal H^2$, we characterize all generalized boundary conditions on the solenoid bor- der compatible with quantum mechanics, i.e., the boundary conditions so that the corresponding hamiltonian operators are self-adjoint. Then we study and compare the scattering of the most usual boundary con- ditions, that is, Dirichlet, Neumann and Robin.

de Oliveira, Cesar R
2010-01-01

325

Investigation of the AharonovBohm effect in a gated graphene ring

  Physics Websites

Summary: Si wafer topped with a 295 nm thick silicon oxide. Single layer graphene flakes were depositedInvestigation of the Aharonov­Bohm effect in a gated graphene ring Magdalena Huefner*, Franc of a single- layer graphene ring. The Aharonov­Bohm oscillation ampli- tude of the four-terminal resistance

Ihn, Thomas

326

"Level Curvature" Distribution for Diffusive Aharonov-Bohm Systems: analytical results

  Nonlinear Sciences (arXiv)

Summary: We calculate analytically the distributions of "level curvatures" (LC) (the second derivatives of eigenvalues with respect to a magnetic flux) for a particle moving in a white-noise random potential. We find that the Zakrzewski-Delande conjecture is still valid even if the lowest weak localization corrections are taken into account. The ratio of mean level curvature modulus to mean dissipative conductance is proved to be universal and equal to $2\\pi$ in agreement with available numerical data.

Yan V. Fyodorov; H-J. Sommers
1994-12-24

327

Comment on "On the Electric Charge Quantization from the Aharonov-Bohm Potential"

  Quantum Physics (arXiv)

Summary: In the paper quant-ph/0503212, Barone and Halayel-Neto (BH) claim that charge quantization in quantum mechanics can be proven without the need for the existence of magnetic monopoles. In this paper it is argued that their claim is untrue.

R. MacKenzie; H. Paquette; J. Pinel; P. -L. Roussel
2005-04-07

328

String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice

  HEP - Lattice (arXiv)

Summary: The partition function of the $4D$ lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen--Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long--range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory.

M. I. Polikarpov; U. -J. Wiese; M. A. Zubkov
1993-03-26

329

Consistency of the Born Approximation for the spin-1/2 Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: The relativistic scattering of a spin-1/2 particle from an infinitely long solenoid is considered in the framework of covariant perturbation theory. The first order term agrees with the corresponding term in the series expansion of the exact amplitude, and second order term vanishes, thus proving that Born approximation is consistent.

M. Boz; N. K. Pak
2000-04-24

330

SEMINAIRE MAGNETISME et SUPRACONDUCTIVITE Orsay -Palaiseau -Saclay

  Biology and Medicine Websites

Summary: . of Radio-Engineering and Electronics RAS, Mokhovaya 11-7, Moscow 125009, Russia Dirac fermions in graphite We report the results on interlayer tunneling in graphite mesas in strong magnetic fields up to 55 T and also the results on Aharonov-Bohm effect in thin graphite single crystals with columnar defects

Paris-Sud 11, Université de

331

[PETO] M. Peshkin A. Tonomura, The AharonovBohm effect , Lecture Notes in Physics, SpringerVerlag, (1989)

  Mathematics Websites

Summary: OEB@(®nx``®n#``®ny). Alors : il existe des amplitudes c(t) et c'(t) telles que Jh(t,c(t))=Jh(t,a).Ophb (resp. Jh(t,c'(t))=Ophb.Jh des amplitude b(t) dans B@ telles que : Jh(t,1). Jh(t,b(t))*=1 et vérifiant || b(t) ||p#C5(p). Onpeut maintenant conclure : Démonstration du théorème B.2 : On part de : Jh(t,a(t))=� 0#s 1 #...#s L­1 #t Jh(t­sL­1

Nicoleau, François

332

Received 5 Nov 2013 | Accepted 9 Jan 2014 | Published 30 Jan 2014 Photonic AharonovBohm effect in photonphonon

  Materials Science Websites

Summary: ARTICLE Received 5 Nov 2013 | Accepted 9 Jan 2014 | Published 30 Jan 2014 Photonic Aharonov­Bohm effect in photon­phonon interactions Enbang Li1,2,3, Benjamin J. Eggleton3, Kejie Fang4,5 & Shanhui Fan6. Recently, attention has also focused on the Aharonov­Bohm effect for neutral particles, such as photons

Goddard III, William A.

333

Measurement of Aharonov-Bohm oscillations in mesoscopic metallic rings in the presence of a high-frequency electromagnetic field

  Engineering Websites

Summary: which an electron retains its phase information, is of fundamental importance in condensed matter problems in determining in this way. First, a proper calculation of the decoherence rate due to the cou corrections with temperature thermal averaging or decoherence is usually done in an ad hoc manner

Mohanty, Raj

334

Aharonov-Bohm Oscillations in a Quasi-Ballistic 3D Topological-Insulator Nanowire , B. Dellabetta2

  Materials Science Websites

Summary: is predicted to open up a gap in the lowest-energy 1D surface subband. Inserting a magnetic flux () of h/2e of Illinois, Urbana, Illinois 61801, USA. email: sjcho11@illinois.edu, * nadya@illinois.edu. current address of Illinois, 208 N. Wright St., Urbana, IL 61801, USA. 3 Condensed Matter Physics and Materials Science

Gilbert, Matthew

335

Two-Particle Nonlocal Aharonov-Bohm Effect from Two Single-Particle Emitters Janine Splettstoesser,1

  Physics Websites

Summary: and two distant Mach-Zehnder interferometers with magnetic fluxes, which allows us in a controllable way of quantum mechanics. Of particular interest are interference effects in multiparticle states. For example are magnetic-flux independent, namely, when the width of the electron pulses is small with respect to the arm


336

PUBLISHED ONLINE: 13 DECEMBER 2009 | DOI: 10.1038/NMAT2609 AharonovBohm interference in topological

  Materials Science Websites

Summary: in topological insulator nanoribbons Hailin Peng1,2 *, Keji Lai3,4 *, Desheng Kong1 , Stefan Meister1 , Yulin insulators represent unusual phases of quantum matter with an insulating bulk gap and gapless edges or surface states. The two-dimensional topological insulator phase was predicted in HgTe quantum wells1

Cui, Yi

337

The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials

  HEP - Theory (arXiv)

Summary: We study the Dirac equation in 3+1 dimensions with non-minimal coupling to isotropic radial three-vector potential and in the presence of static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central) dependence such that the Dirac equation is completely separable in spherical coordinates. We obtain exact solutions for the case where the three-vector potential is linear in the radial coordinate (Dirac-Oscillator) and the time component of the electromagnetic potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obtained.

A. D. Alhaidari
2005-01-06

338

Short Note Typeset with jpsj2.cls Suppression of Quantum Decoherence in an Aharonov-Bohm Ring

  Materials Science Websites

Summary: 23 is mea- sured. The other setup is referred as "nonlocal" setup and illustrated in Fig. 1(b). The measured AB ring Fig. 1. (a) "Local" or conventional four-terminal setup (I : 1 4, V : 2 3) that gives resistance R14,23. (b) "Nonlocal" setup (I : 1 2, V : 4 3) gives nonlocal resistance R12,43. (c) Scanning

Katsumoto, Shingo

339

Interplay of Aharonov-Bohm, chirality, and aspect ratio effects in the axial conductance of a nanotube

  Quantum Physics (arXiv)

Summary: A magnetic flux applied along the axis of a nanotube can counteract the effect of the tube chirality and dramatically affect its conductance, leading to a way to determine the chirality of a nanotube. The effect of the applied flux is strongest in the long tube limit where the conductance is (i) either a sequence of sharp $4e^{2}/h$ height peaks located at integer (in units of the flux quantum) values of the flux (for an armchair tube) or (ii) a periodic sequence of pairs of $2e^{2}/h$ height peaks for a chiral tube, with the spacing determined by the chirality. In the short tube limit the conductance takes on the value that gives the universal conductivity of an undoped graphene sheet, with a small amplitude modulation periodic in the flux.

Eugene B. Kolomeisky; Joseph P. Straley; Hussain Zaidi
2012-01-28

340

Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer F. E. Camino, Wei Zhou, and V. J. Goldman

  Materials Science Websites

Summary: . The superperiod is accordingly understood as imposed by the anyonic statistical interaction of Laughlin statistics . Upon execution of a closed loop, both boson and fermions acquire a phase factor of 1, which-Bohm effect. Interference of particles having fractional statistics [1,2], anyons, would contribute

Goldman, Vladimir J.

341

The Aharonov-Bohm e ect for an exciton R. A. Romer 1 and M. E. Raikh 2

  Computer Technologies and Information Sciences Websites

Summary: as a criterion of the Anderson-type metal-insulator transition in disordered systems [19]. Combined e#11;ects,15]. Furthermore, the absence of sensitivity to the ux in such systems is an indication of the onset of the Mott transition [7,16,17]. Similarly, the sensitivity of single-particle energies to the ux [18] can be used

Chemnitz, Technische Universität

342

Temperature dependence of the Aharonov-Bohm oscillations and the energy spectrum in a single-mode ballistic ring

  Materials Science Websites

Summary: coherence length is larger than the circumference of the ring. In clean ballistic rings these two mechanisms be comparable to or exceed the half circumference of the ring. Under these circumstances the temperature

Gusev, Guennady

343

Dephasing by Extremely Dilute Magnetic Impurities Revealed by Aharonov-Bohm Oscillations F. Pierre and Norman O. Birge

  Materials Science Websites

Summary: . For narrow wires, the phase coherence time for that process was calculated by Altshuler, Aronov to the temperature. This provides strong evidence that a likely explanation for the frequently observed saturation of at low temperature in weakly disordered metallic thin films is the presence of extremely dilute magnetic

Birge, Norman

344

Conductance through a Quantum Dot in an AharonovBohm Ring G. Hackenbroich 1 and H. A. Weidenmuller 2

  Engineering Websites

Summary: Conductance through a Quantum Dot in an Aharonov­Bohm Ring G. Hackenbroich 1 and H. A. Weidenm with a quantum dot embedded in one of its arms. The electron­electron interaction within the dot is treated to a conductance resonance of the quantum dot. This leads to a sudden phase change by � in these oscillations

Hackenbroich, Gregor

345

PUBLISHED ONLINE: 10 JULY 2011 | DOI: 10.1038/NPHYS2034 AharonovBohm interferences from local

  Materials Science Websites

Summary: , Bloomington, Indiana 47405, USA, 2Departamento de Física Teórica, Universidad Autónoma de Madrid, E-28049, Madrid, Spain, 3Instituto de Ciencia de Materiales de Madrid (CSIC), Sor Juana Inés de la Cruz 3, Madrid

Loss, Daniel

346

Various Abelian Projections of $SU(2)$ Lattice Gluodynamics and Aharonov-Bohm Effect in the Field Theory

  HEP - Lattice (arXiv)

Summary: We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for the confinement of color. We illustrate our ideas by some explicit results in the Abelian Higgs model with the Villain action.

M. N. Chernodub; M. I. Polikarpov; M. A. Zubkov
1994-01-24

347

On the origin of the minimal coupling rule, and on the possiblity of observing a classical, "Aharonov-Bohm-like" angular momentum

  Quantum Physics (arXiv)

Summary: The minimal coupling rule is "derived" starting from Landau's relativistically invariant classical action for a charge in the presence of classical electromagnetic fields. Experiments are then proposed to see the resulting electromagnetic angular momentum of a classical, "lumpy" charged ring enclosing a solenoid. These classical, macroscopic experiments are similar in spirit to those proposed by Aharonov and Bohm at the quantum level.

Raymond Chiao
2011-04-22

348

Interference of heavy holes in an Aharonov-Bohm ring Dimitrije Stepanenko,1 Minchul Lee,2 Guido Burkard,3 and Daniel Loss1

  Materials Science Websites

Summary: when it winds around the magnetic flux. An analogous effect in rings made of semi- conductors with spin the interference effects in transport. In this work, we study the conductance of a ring of heavy holes tunnel


349

Phase rigidity and h/2e oscillations in a single-ring Aharonov-Bohm experiment A. Yacoby, R. Schuster, and M. Heiblum

  Physics Websites

Summary: -Bohm AB ring. The observed phase rigidity of the AB conductance oscillations is theoretically explained to measure a system's phase evolution which is not mea- sured by usual conductance measurements . The chosen sys- tem was a resonant tunneling RT structure in a form of a quantum dot QD operating in the Coulomb

Heiblum, Mordehai "Moty"

350

CHINESE JOURNAL OF PHYSICS VOL. 40, NO. 2 APRIL 2002 Aharonov-Bohm Effect on Landau States in Annular Cylindrical Boxes

  Physics Websites

Summary: ´sica-UNAM., Apartado Postal 20-364, 01000 M´exico, D. F. M´exico 2 Mathematical Building, Box 87, University of Arizona, of mass me and electric charge ¡ e, confined inside an annular cylindrical box (a · ½ · b; 0 · ' · 2

Kouznetsov, Dmitrii

351

Aharonov-Bohm-type oscillations in antidot lattices in the quantum Hall regime Masanori Kato,* Akira Endo, Shingo Katsumoto, and Yasuhiro Iye

  Physics Websites

Summary: antidot systems, but with important modification specific to the antidot array system. By tuning structures is an an- tidot lattice, i.e., a regular array of potential hills inaccessible to 2D electrons as a 2DES subjected to a periodic array of scatterers, i.e., a ballistic pinball situation.2 On the other

Iye, Yasuhiro

352

Interplay of Coulomb blockade and Aharonov-Bohm resonances in a Luttinger liquid Jari M. Kinaret, Mats Jonson, and Robert I. Shekhter

  Physics Websites

Summary: of an electronic system is reduced, a rich variety of new ``mesoscopic'' phenomena becomes experi- mentally on the right-hand side is recognized as the retarded current-current correlation func- tion. It is most readily

Eggert, Sebastian

353

Two-particle AharonovBohm effect in electronic interferometers This article has been downloaded from IOPscience. Please scroll down to see the full text article.

  Physics Websites

Summary: Two-particle Aharonov­Bohm effect in electronic interferometers This article has been downloaded­Bohm effect in electronic interferometers Janine Splettstoesser1,2 , Peter Samuelsson3 , Michael Moskalets4, Lund University, Box 118, S-221 00 Lund, Sweden 4 Department of Metal and Semiconductor Physics, NTU


354

Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux

  Mathematical Physics (arXiv)

Summary: We study the dynamics of a quantum particle moving in a plane under the influence of a constant magnetic field and driven by a slowly time-dependent singular flux tube through a puncture. The known adiabatic results do not cover these models as the Hamiltonian has time dependent domain. We give a meaning to the propagator and prove an adiabatic theorem. To this end we introduce and develop the new notion of a propagator weakly associated to a time-dependent Hamiltonian.

J. Asch; I. Hradecky; P. Stovicek
2005-02-08

355

Quantum interference in superconducting wire networks and Josephson junction arrays: An analytical approach based on multiple-loop Aharonov-Bohm Feynman path integrals

  Physics Websites

Summary: 1 and complex2,3 periodic lattices, regular fractals,4 bond-percolation networks,5 disordered arraysQuantum interference in superconducting wire networks and Josephson junction arrays: An analytical analytically and numerically the mean-field superconducting-normal phase boundaries of two-dimensional

Nori, Franco

356

Applications of the Complex Geometric "Phase" for Meta-stable Systems

  Quantum Physics (arXiv)

Summary: Garrison and Wright showed that upon undergoing cyclic quantum evolution a meta-stable state acquires both a geometric phase and a geometric decay probability. This is described by a complex geometric ``phase'' associated with the cyclic evolution of two states and is closely related to the two state formalism developed by Aharonov et al.. Applications of the complex geometric phase to the Born--Oppenheimer approximation and the Aharonov--Bohm effect are considered. A simple experiment based on the optical properties of absorbing birefringent crystals is proposed.

S. Massar
1996-05-19

357

Crystal Notes The Crystal

  Biology and Medicine Websites

Summary: Crystal Notes The Crystal The crystal is defined as an ordered set of atoms (molecules) arranged. Ordered crystals exist because in their formation they must disorder their surroundings more than they are ordered. The key to growing a crystal is to cause in the disorder of the surroundings to be more than

Meagher, Mary

358

Geometric Phase for Fermionic Quasiparticles Scattering by Disgyration in Superfluids

  General Relativity & Quantum Cosmology (arXiv)

Summary: We consider a Volovik's analog model for description of a topological defects in a superfluid and we investigate the scattering of quasiparticles in this background. The analog of the gravitational Aharonov-Bohm in this system is found. An analysis of this problem employing loop variables is considered and corroborates for the existence of the Aharonov-Bohm effect in this system. The results presented here may be used to study the Aharonov-Bohm effect in superconductors.

L. C. Garcia de Andrade; A. M. de M. Carvalho; C. Furtado
2004-06-14

359

Magnetoresistance devices based on single-walled carbon nanotubes Oded Hod and Eran Rabania

  Chemistry Websites

Summary: on the Aharonov-Bohm effect Phys. Rev. 115, 485 1959 . The proposed device is made of a short single-walled carbon to the Aharonov-Bohm effect, and show that by retracting the tip/contacts, so that the coupling to the SWCNT, for example, the conductance is sensitive to the Aharonov-Bohm AB effect.3 The study of the interplay between

Rabani, Eran

360

Transportuntersuchungen von Quanteninterferenzeffekten in ferromagnetischen (Ga,Mn)As Nanostrukturen.

  Open Access Theses and Dissertations

Summary: ??Diese Arbeit beschreibt die erste Beobachtung von phasenkohärenten Phänomenen (Universelle Leitwertfluktuationen und Aharonov-Bohm Effekt) in einem neuen Materialsystem, den ferromagnetischen Halbleitern. Die Entdeckung der ferromagnetischen… (more)

Wagner, Konrad
2008-01-01

361

RAPID COMMUNICATIONS PHYSICAL REVIEW B 87, 060301(R) (2013)

  Engineering Websites

Summary: of a photonic Aharonov-Bohm effect at radio frequencies Kejie Fang,1 Zongfu Yu,2 and Shanhui Fan2 1 Department) Building upon recent theoretical proposals for creating an effective gauge field for photons, we experimentally demonstrate the photonic Aharonov-Bohm effect. The effect relies on the nonreciprocal phase

Fan, Shanhui

362

Comment on "Coherent Detection of Electron Dephasing'' [arXiv:0909.2197

  Physics (arXiv)

Summary: It is shown that the theoretical result according to which electrons can be reflected because of magnetic flux in the Aharonov-Bohm ring contradicts to the fundamental law of momentum conservation and can not conform with the Aharonov-Bohm effect. Therefore a publication of Phys. Rev. Lett. [arXiv:0909.2197] based on this result can not be correct.

A. V. Nikulov
2010-06-29

363

VOLUME 87, NUMBER 1 P H Y S I C A L R E V I E W L E T T E R S 2 JULY 2001 Kondo Resonance in a Mesoscopic Ring Coupled to a Quantum Dot

  Fossil Fuels Websites

Summary: the ring and should thus be sensitive to scattering in the quantum dot [10]. The PC of a one-dimensional (1 in a Mesoscopic Ring Coupled to a Quantum Dot: Exact Results for the Aharonov-Bohm-Casher Effects H.-P. Eckle,1 quantum dot at Kondo resonance. For privileged values of the Aharonov-Bohm-Casher fluxes, the problem can

Stafford, Charles

364

Optical Analog of the Iordanskii Force in a Bose-Einstein Condensate

  Condensed Matter (arXiv)

Summary: A vortex in a Bose-Einstein condensate generates the optical analog of the Aharonov-Bohm effect when illuminated with slow light. In contrast to the original Aharonov-Bohm effect the vortex will exchange forces with the light that lead to a measurable motion of the vortex.

U. Leonhardt; P. Ohberg
2001-10-24

365

SUPERALGEBRAS OF SYMMETRY OPERATORS FOR COULOMB AND

  Mathematics Websites

Summary: , Ukraine ABSTRACT. It is shown that the relativistic Hydrogen atom and the Aharonov-Bohm-Coulomb system we show that relativistic Hydrogen atom and the relativistic Aharonov-Bohm-Coulomb (ABC) system-dimension Clifford algebra. All linearly independent products of SOs (2.3), (2.4), i.e., m, mn, kmn, ^I, (2.6) (k, m

Nikitin, Anatoly

366

Superlattices and Microstructures www.elsevier.com/locate/jnlabr/yspmi

  Physics Websites

Summary: Abstract We investigate coherent transport through hybrid systems of quantum dots and Aharonov-Bohm (AB shift in a quantum wire with a side-coupled dot. Finally, we provide an experimental answer, 85.35.-p, 73.23.Hk, 72.15.Qm Keywords: Quantum dots; Aharonov-Bohm ring; Fano effect 1. Introduction

Iye, Yasuhiro

367

Topology, holes and sources Alexander Afriat

  Physics Websites

Summary: Topology, holes and sources Alexander Afriat May 13, 2012 Abstract The Aharonov-Bohm effect1 (or just about any radiation, propagation from a source). 1 The Aharonov-Bohm effect A wavefunction: it may or may not. The existence of the source responsible for the effect is therefore ruled out by one

Paris-Sud XI, Université de

368

Efeito das cipselas de Cichorium intybus em ratinhos expostos a CCI4.

  Open Access Theses and Dissertations

Summary: ??Cichorium intybus é amplamente utilizada na medicina tradicional devido aos seus supostos efeitos hepatoprotectores. Este trabalho teve por objectivo estudar os possíveis efeitos protectores do… (more)

Oliveira, Sónia Marlene Rodrigues
2009-01-01

369

Efeitos da eletroestimulação intravaginal e da eletroestimulação de superfície em mulheres com incontinência urinária de esforço.

  Open Access Theses and Dissertations

Summary: ??Estudos avaliaram os efeitos do tratamento de eletroestimulação intravaginal (EEIV) para a incontinência urinária de esforço (IUE), entretanto poucos estudos avaliaram os efeitos da eletroestimulação… (more)

Grasiéla Nascimento Correia
2013-01-01

370

Monomial Crystals and Partition Crystals

  MIT - DSpace

Summary: Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(?[subscript 0]) for [^ over sl][subscript n], where the vertices are indexed by certain partitions. He showed that special ...

Tingley, Peter William

371

Schedule - Department of Mathematics, Purdue University

  Hopf Topology Archive

Summary: Jun 18, 2012 ... Matti Lassas (University of Helsinki, Finland): Cloaked wave amplifiers via ... inverse conductivity problem with power densities in general dimension .... A: Leo Tzou (Stockholm University, Sweden): The Aharonov-Bohm Effect ...


2012-06-18

372

Several remarks on ``Comments'' by A. Moroz

  Quantum Physics (arXiv)

Summary: We make a couple of remarks on ``Comments'' due to A. Moroz which were addressed to our recent letter "Differential cross section for Aharonov-Bohm effect with non standard boundary conditions", Europhys. Lett. 44 (1998) 403.

P. Stovicek
1999-06-21

373

Gauge invariance and the detection of gravitational radiation

  General Relativity & Quantum Cosmology (arXiv)

Summary: The detection of gravitational radiation raises some subtle issues having to do with the coordinate invariance of general relativity. This paper explains these issues and their resolution by using an analogy with the Aharonov-Bohm effect of quantum mechanics.

David Garfinkle
2005-11-16

374

Recent Results on the Abelian Projection of Lattice Gluodynamics

  HEP - Lattice (arXiv)

Summary: The abelian projection of lattice gluodynamics is reviewed. The main topics are: abelian and monopole dominance, monopole condensate as the disorder parameter, effective abelian Lagrangian, monopoles in the instanton field, Aharonov -- Bohm effect on the lattice.

M. I. Polikarpov
1996-09-07

375

Fractional Statistics and Duality: Strong Tunneling Behavior of Edge States of Quantum Hall Liquids in the Jain Sequence

  Materials Science Websites

Summary: in the Laughlin sequence, they do not for more general FQH states, such as those in the Jain se- quence dependence of the thermal dephasing of the Aharonov-Bohm oscillations [10]. For Laughlin states, the problem


376

Speaker and Title Information -- Inverse Problems Conference in ...

  Hopf Topology Archive

Summary: Matti Lassas, Cloaked wave amplifiers via transformation optics, Tuesday, ... Kurylev, Inverse Problem of Electro-magneto-encephalography in the 3-shell Model, ... Tzou, The Aharonov-Bohm Effect and the Calder\\'on Problem for Connection ...


377

"Magic Angle Chaotic Precession" (Recurrent Holonomies)

  Physics Websites

Summary: was the first who directly approached the holonomy of gyroscopes; Aharonov-Bohm effect. 3. After 1970s: Wu Rotator (Gyroscope) r = + binder@quanics.com CHAOS2008 O z /d dt = /d dt = /d dt = Precession Spin

Binder, Bernd

378

International Crystal Manufacturing

  Physics Websites

Summary: International Crystal Manufacturing CRYSTAL OSCILLATOR AND FILTER PRODUCTS International Crystal@icmfg.com #12;2 International Crystal Manufacturing, Inc. P.O. Box 26330 · Oklahoma City, OK 73126-0330 · Phone-800-322-9426 · www.icmfg.com · E-mail freeland@icmfg.com QUARTZ CRYSTALS Quartz Crystal Selection Guide

Berns, Hans-Gerd

379

Optomechanical Crystals

  CERN Preprints

Summary: Structured, periodic optical materials can be used to form photonic crystals capable of dispersing, routing, and trapping light. A similar phenomena in periodic elastic structures can be used to manipulate mechanical vibrations. Here we present the design and experimental realization of strongly coupled optical and mechanical modes in a planar, periodic nanostructure on a silicon chip. 200-Terahertz photons are co-localized with mechanical modes of Gigahertz frequency and 100-femtogram mass. The effective coupling length, which describes the strength of the photon-phonon interaction, is as small as 2.9 microns, which, together with minute oscillator mass, allows all-optical actuation and transduction of nanomechanical motion with near quantum-limited sensitivity. Optomechanical crystals have many potential applications, from RF-over-optical communication to the study of quantum effects in mesoscopic mechanical systems.

Eichenfield, Matt; Camacho, Ryan M; Vahala, Kerry J; Painter, Oskar
2009-01-01

380

Crossover from critical orthogonal to critical unitary statistics at the Anderson transition

  Nonlinear Sciences (arXiv)

Summary: We report a novel scale-independent, Aharonov-Bohm flux controlled crossover from critical orthogonal to critical unitary statistics at the disorder induced metal insulator transition. Our numerical investigations show that at the critical point the level statistics are definitely distinct and determined by fundamental symmetries. The latter is similar to the behavior of the metallic phase known from random matrix theory. The Aharonov-Bohm flux dependent crossover is characteristic of the critical ensemble.

M. Batsch; L. Schweitzer; I. Kh. Zharekeshev; B. Kramer
1996-07-10

381

Crystal Growing The "Touch"

  Biology and Medicine Websites

Summary: Crystal Growing The "Touch" I was taught that crystal growing is a knack (a special ready capacity about crystal growing. We all know some people who can grow crystals quite by accident and some that could not grow a crystal if their science depended on it. With that said, there are techniques

Meagher, Mary

382

VOLUME 88, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 24 JUNE 2002 Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer

  Materials Science Websites

Summary: of quantum mechanics. We have realized a tunable Fano system in a quantum dot (QD) in an Aharonov and the other through the resonance level--and that this quantum mechanical interference yields a charac], there is little, if any, controllability in either case since the coupling between the discrete level

Katsumoto, Shingo

383

VOLUME 87, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 17 DECEMBER 2001 Coherent Coupling of Two Quantum Dots Embedded in an Aharonov-Bohm Interferometer

  Physics Websites

Summary: is fabricated from a negative resist (calixarene) [10] with a dielectric constant of ecax 7.1 [11]. Hereby, the areas of the 2DEG which are below the calixarene are significantly less depleted by voltages which

Ludwig-Maximilians-Universität, München

384

Protein crystallization in vivo

  Condensed Matter (arXiv)

Summary: Protein crystallization in vivo provides some fascinating examples of biological self-assembly. Here, we provide a selective survey to show the diversity of functions for which protein crystals are used, and the physical properties of the crystals thatare exploited. Where known, we emphasize how the nature of the protein-protein interactions leads to control of the crystallization behaviour.

Jonathan P. K. Doye; Wilson C. K. Poon
2005-10-03

385

Liquid crystal bilayer wall

  Materials Science Websites

Summary: to a liquid crystal solution of hexanol, cetylpyridinium chloride, and 0.2 M hydrochloric acid, and ourLiquid crystal bilayer wall Silicified liquid crystal Silica layer Water Water Water Water Surfactant/hexanol Silica layer Figure 1: A sketch of the L3 phase liquid crystal structure, derived from

Aksay, Ilhan A.

386

Protein crystallization in vivo

  CiteSeer

Summary: Protein crystallization in vivo provides some fascinating examples of biological selfassembly. Here, we provide a selective survey to show the diversity of functions for which protein crystals are used, and the physical properties of the crystals that are exploited. Where known, we emphasize how the nature of the protein-protein interactions leads to control of the crystallization behaviour. Key words: protein crystallization, aggregation PACS: 87.15Nn, 87.14Ee 1

Jonathan P. K. Doye; Wilson C. K. Poon
2005-01-01

387

Photonic Hyper-Crystals

  CERN Preprints

Summary: We introduce a new "universality class" of artificial optical media - photonic hyper-crystals. These hyperbolic metamaterials with periodic spatial variation of dielectric permittivity on subwavelength scale, combine the features of optical metamaterials and photonic crystals. In particular, surface waves supported by a hyper-crystal, possess the properties of both the optical Tamm states in photonic crystals and surface plasmon polaritons at the metal-dielectric interface.

Narimanov, Evgenii E
2014-01-01

388

Student Data Sheet Crystal Experiment: _______________________________

  Chemistry Websites

Summary: Student Data Sheet Name: Date: Crystal Experiment: _______________________________ Observations: Day One Day Two Crystal Experiment: ______________________________ Observations: Day One Day Two #12;Student Data Sheet Name: Date: Observations of Crystals Name of Crystal Observation Bismuth Pyrite

Pike, Robert D.

389

Shaping Crystals with Light: Crystal-to-Crystal Isomerization and Photomechanical Effect in Fluorinated Azobenzenes

  Chemistry Websites

Summary: Shaping Crystals with Light: Crystal-to-Crystal Isomerization and Photomechanical Effect light transforms a perhalogenated cis-azobenzene single crystal into a polycrystalline aggregate of its trans-isomer in a photomechanical transformation that involves a sig- nificant, controllable

Barrett, Christopher

390

Efeito do tratamento térmico na formação de revestimentos GA sobre aços com características de bake hardenability.

  Open Access Theses and Dissertations

Summary: ??O tratamento térmico de galvanneling exerce efeito significativo na qualidade do revestimento galvannealed, por afetar diretamente a constituição dos compostos intermetálicos Fe-Zn. Pequenos desajustes na… (more)

Aldo Henrique de Almeida Barbosa
2010-01-01

391

Efeitos do Thiodan sobre a morfologia do testículo de tilápia nilótica (Oreochromis niloticus) sexualmente imatura.

  Open Access Theses and Dissertations

Summary: ??Objetivou-se avaliar os efeitos tóxicos causados pela exposição aguda ao agrotóxico endosulfan na sua formulação comercial Thiodan, em indivíduos machos sexualmente imaturos de tilápia nilótica.… (more)

Luz Natália Franco Montoya
2008-01-01

392

"Efeitos clastogênicos em Tradescantia (Trad-MCN) induzidos por campos magnéticos de freqüência extremamente baixa (ELF)".

  Open Access Theses and Dissertations

Summary: ??Os efeitos clastogênicos de campos magnéticos de freqüência extremamente baixa (ELF) foram investigados usando o bioensaio Tradescantia pallida (Trad-MCN). Inflorescências expostas durante 8 horas a… (more)

Ciliane Matilde Sollitto
2005-01-01

393

Efeito da fisioterapia respiratória nas complicações pulmonares pós-operatórias em pacientes submetidos à esofagectomia.

  Open Access Theses and Dissertations

Summary: ??Objetivo: O presente estudo avaliou o efeito dos cuidados de fisioterapia respiratória, no período pós-operatório, na incidência de complicações pulmonares em pacientes submetidos à esofagectomia.… (more)

Adriana Claudia Lunardi
2006-01-01

394

Alterações induzidas pela desnutrição pos-natal nos efeitos comportamentais deantagonistas dopaminergicos em ratos jovens.

  Open Access Theses and Dissertations

Summary: ??A desnutrição durante períodos críticos do desenvolvimento pode induzir alterações nas respostas comportamentais às drogas de ação central. Neste estudo, avaliaram-se os efeitos da desnutrição… (more)

Jose Eduardo Tanus dos Santos
1997-01-01

395

Avaliação dos efeitos da radiação ionizante em materiais utilizados em restaurações dentárias.

  Open Access Theses and Dissertations

Summary: ??O trabalho consistiu na realização de estudos quantitativos dos efeitos provocados pela radiação ionizante sobre os materiais utilizados em restaurações dentárias (Titânio, Amálgama, Resina Composta… (more)

Miréia Florencio Maio
2009-01-01

396

Avaliação do efeito do metilfenidato na deambulação de camundongos em campo aberto.

  Open Access Theses and Dissertations

Summary: ??Neste estudo, analisaram-se os efeitos do Cloridrato de Metilfenidato administrado em camundongos em tarefas comportamentais no espaço de campo aberto, utilizando estímulos variados. Quando o… (more)

Miriam Moschen Silveira
2007-01-01

397

"Efeitos do tabagismo sobre o sistema cardiovascular: hemodinâmica e propriedades elásticas arteriais".

  Open Access Theses and Dissertations

Summary: ??Objetivo Avaliar os efeitos do tabagismo sobre o sistema cardiovascular, através de metodologia não invasiva, analisando as alterações hemodinâmicas clínicas e propriedades elásticas arteriais, após… (more)

Maria Alice Melo Rosa Tavares Silva
2005-01-01

398

Ion Coulomb Crystals

  Quantum Physics (arXiv)

Summary: Ion Coulomb crystals (ICC), formed by atomic ions at low temperatures in radiofrequency and Penning ion traps, are structures that have remarkable properties and many applications. Images of Coulomb crystals are striking and reveal the crystal structure, which arises from a balance between the trapping forces acting on the ions and their mutual Coulomb repulsion. Applications of these structures range from frequency standards and quantum simulation through to measurement of the cross sections of chemical reactions of ions.

Richard C. Thompson
2014-11-18

399

Ion Coulomb Crystals

  CERN Preprints

Summary: Ion Coulomb crystals (ICC), formed by atomic ions at low temperatures in radiofrequency and Penning ion traps, are structures that have remarkable properties and many applications. Images of Coulomb crystals are striking and reveal the crystal structure, which arises from a balance between the trapping forces acting on the ions and their mutual Coulomb repulsion. Applications of these structures range from frequency standards and quantum simulation through to measurement of the cross sections of chemical reactions of ions.

Thompson, Richard C
2014-01-01

400

Liquid crystal lasers Andrii Varanytsia

  Chemistry Websites

Summary: Liquid crystal lasers Andrii Varanytsia Class: LC Optics and Photonics, Spring 2012 Instructor crystal laser · Methods of control and tuning liquid crystal laser emission · Methods of emission enhancing and lowering lasing threshold in liquid crystal laser · Potential applications of liquid crystal

Palffy-Muhoray, Peter

401

Function Photonic Crystals

  Physics (arXiv)

Summary: In the paper, we present a new kind of function photonic crystals, which refractive index is a function of space position. Unlike conventional PCs, which structure grow from two materials, A and B, with different dielectric constants $\\epsilon_{A}$ and $\\epsilon_{B}$. By Fermat principle, we give the motion equations of light in one-dimensional, two-dimensional and three-dimensional function photonic crystals. For one-dimensional function photonic crystals, we study the dispersion relation, band gap structure and transmissivity, and compare them with conventional photonic crystals. By choosing various refractive index distribution function $n(z)$, we can obtain more width or more narrow band gap structure than conventional photonic crystals.

Xiang-Yao Wu; Bai-Jun Zhang; Jing-Hai Yang; Xiao-Jing Liu; Nuo Ba; Yi-Heng Wu; Qing-Cai Wang; Guang-Huai Wang
2012-12-01

402

Function Photonic Crystals

  CERN Preprints

Summary: In the paper, we present a new kind of function photonic crystals, which refractive index is a function of space position. Unlike conventional PCs, which structure grow from two materials, A and B, with different dielectric constants $\\epsilon_{A}$ and $\\epsilon_{B}$. By Fermat principle, we give the motion equations of light in one-dimensional, two-dimensional and three-dimensional function photonic crystals. For one-dimensional function photonic crystals, we study the dispersion relation, band gap structure and transmissivity, and compare them with conventional photonic crystals. By choosing various refractive index distribution function $n(z)$, we can obtain more width or more narrow band gap structure than conventional photonic crystals.

Wu, Xiang-Yao; Yang, Jing-Hai; Liu, Xiao-Jing; Ba, Nuo; Wu, Yi-Heng; Wang, Qing-Cai; Li, Jing-Wu
2010-01-01

403

Arnold Schwarzenegger SINGLE CRYSTAL SILICON

  Energy Storage, Conversion and Utilization Websites

Summary: Arnold Schwarzenegger Governor SINGLE CRYSTAL SILICON SHEET GROWTH Prepared For: California Energy CRYSTAL SILICON SHEET GROWTH EISG AWARDEE ENERGY MATERIALS RESEARCH 132 Chalmers Drive Rochester Hills, MI


404

Magnetic Response in the Holographic Insulator/Superconductor Transition

  General Relativity & Quantum Cosmology (arXiv)

Summary: We study the magnetic response of holographic superconductors exhibiting an insulating "normal" phase. These materials can be realized as a CFT compactified on a circle, which is dual to the AdS Soliton geometry. We study the response under i) magnetic fields and ii) a Wilson line on the circle. Magnetic fields lead to formation of vortices and allows one to infer that the superconductor is of type II. The response to a Wilson line is in the form of Aharonov-Bohm-like effects. These are suppressed in the holographic conductor/superconductor transition but, instead, they are unsuppressed for the insulator case. Holography, thus, predicts that generically insulators display stronger Aharonov-Bohm effects than conductors. In the fluid-mechanical limit the AdS Soliton is interpreted as a supersolid. Our results imply that supersolids display unsuppressed Aharonov-Bohm (or "Sagnac") effects - stronger than in superfluids.

Marc Montull; Oriol Pujolàs; Alberto Salvio; Pedro J. Silva
2012-05-03

405

Quantum extended crystal PDE's

  CERN Preprints

Summary: Our recent results on {\\em extended crystal PDE's} are generalized to PDE's in the category $\\mathfrak{Q}_S$ of quantum supermanifolds. Then obstructions to the existence of global quantum smooth solutions for such equations are obtained, by using algebraic topologic techniques. Applications are considered in details to the quantum super Yang-Mills equations. Furthermore, our geometric theory of stability of PDE's and their solutions, is also generalized to quantum extended crystal PDE's. In this way we are able to identify quantum equations where their global solutions are stable at finite times. These results, are also extended to quantum singular (super)PDE's, introducing ({\\em quantum extended crystal singular (super) PDE's}).

Prástaro, Agostino
2011-01-01

406

Quantum extended crystal PDE's

  Math Preprints (arXiv)

Summary: Our recent results on {\\em extended crystal PDE's} are generalized to PDE's in the category $\\mathfrak{Q}_S$ of quantum supermanifolds. Then obstructions to the existence of global quantum smooth solutions for such equations are obtained, by using algebraic topologic techniques. Applications are considered in details to the quantum super Yang-Mills equations. Furthermore, our geometric theory of stability of PDE's and their solutions, is also generalized to quantum extended crystal PDE's. In this way we are able to identify quantum equations where their global solutions are stable at finite times. These results, are also extended to quantum singular (super)PDE's, introducing ({\\em quantum extended crystal singular (super) PDE's}).

Agostino Prástaro
2011-05-01

407

CRYSTALLIZATION NOTE Crystallization and Preliminary X-Ray Diffraction Analysis

  Biology and Medicine Websites

Summary: CRYSTALLIZATION NOTE Crystallization and Preliminary X-Ray Diffraction Analysis of UDP April 27, 1996 Single crystals of UDP-N-acetylglucosamine enol- pyruvyltransferase of Enterobacter cloacae have been grown by vapor diffusion using phosphate buffer as the precipitant. The crystals belong


408

Development of Crystallization Strategies Using the Biological Macromolecule Crystallization Database

  CiteSeer

Summary: The NIST/NASA/CARB Biological Macromolecule studies requires not only finding suitable chemical agents Crystallization Database (BMCD) contains crystal data that induce and sustain crystal growth but also that those and crystallization conditions for biological parameters such as protein concentration, ionic strength, macromolecules abstracted from the literature. Each temperature, pH, etc., be sampled over a wide range of entry consists of information describing the biological values. This could require many thousands of experiments macromolecule crystallized and crystal data and the even if only a few chemical agents are used and if crystallization conditions for each crystal form. The parameters are varied with course increments. The number BMCD also serves as the NASA Protein Crystal Growth of experiments required for success is dependent on the Archive in that it contains protocols and results of macromolecule and the choices made by the investigator. crystallization expe...

G. L. Gilliland; M. Tung; J. E. Ladner

409

Crystallization: Colloidal suspense

  Condensed Matter (arXiv)

Summary: According to classical nucleation theory, a crystal grows from a small nucleus that already bears the symmetry of its end phase - but experiments with colloids now reveal that, from an amorphous precursor, crystallites with different structures can develop.

László Gránásy; Gyula I. Tóth
2014-07-14

410

Crystal Electrostatic Energy

  CERN Preprints

Summary: It has been shown that to calculate the parameters of the electrostatic field of the ion crystal lattice it sufficient to take into account ions located at a distance of 1-2 lattice spacings. More distant ions make insignificant contribution. As a result, the electrostatic energy of the ion lattice in the alkaline halide crystal produced by both positive and negative ions is in good agreement with experiment when the melting temperature and the shear modulus are calculated. For fcc and bcc metals the ion lattice electrostatic energy is not sufficient to obtain the observed values of these parameters. It is possible to resolve the contradiction if one assumes that the electron density is strongly localized and has a crystal structure described by the lattice delta - function. As a result, positive charges alternate with negative ones as in the alkaline halide crystal. Such delta-like localization of the electron density is known as a model of nearly free electrons.

Ivanchin, Alexander
2010-01-01

411

On the Crystallization of

  CiteSeer

Summary: Attempts to grow terbium aluminium garnet (Tb3Al5O12, TAG) by the Czochralski method lead to crystals of millimeter scale. Larger crystals could not be obtained. DTA measurements within the binary system showed that TAG melts incongruently at 1840 ? C. The perovskite (TbAlO3, TAP) with a congruent melting point of 1930 ? C is the most stable phase in this system. The region for primary crystallization of TAP covers the chemical composition of TAG and suppresses the primary crystallization of the terbium aluminium garnet. Versuche zur Züchtung von Terbium-Aluminium-Granat (Tb3Al5O12, TAG) nach der Czochralski – Methode erbrachten Kristalle mit Größen im Millimeter-Bereich.

Terbium Aluminium Garnet; S. Ganschow; D. Klimm; P. Reiche; R. Uecker

412

Online polymer crystallization experiment

  MIT - DSpace

Summary: An architecture for online remote operation of a polymer crystallization experiment was refined, beta tested in actual use conditions, and extended based on feedback from those tests. In addition, an application for ...

Pridmore, Derik A. (Derik Arnold), 1978-
2005-01-01

413

Dispersion in photonic crystals.

  Open Access Theses and Dissertations

Summary: ??Investigations on the dispersive properties of photonic crystals, modified scattering in ring-resonators, monolithic integration of vertical-cavity surface-emitting lasers and advanced data processing techniques for the… (more)

Witzens, Jeremy
2005-01-01

414

Crystal Electrostatic Energy

  Physics (arXiv)

Summary: It has been shown that to calculate the parameters of the electrostatic field of the ion crystal lattice it sufficient to take into account ions located at a distance of 1-2 lattice spacings. More distant ions make insignificant contribution. As a result, the electrostatic energy of the ion lattice in the alkaline halide crystal produced by both positive and negative ions is in good agreement with experiment when the melting temperature and the shear modulus are calculated. For fcc and bcc metals the ion lattice electrostatic energy is not sufficient to obtain the observed values of these parameters. It is possible to resolve the contradiction if one assumes that the electron density is strongly localized and has a crystal structure described by the lattice delta - function. As a result, positive charges alternate with negative ones as in the alkaline halide crystal. Such delta-like localization of the electron density is known as a model of nearly free electrons.

Alexander Ivanchin
2010-01-24

415

Diffusion in Coulomb Crystals

  Nuclear Theory (arXiv)

Summary: Diffusion in coulomb crystals can be important for the structure of neutron star crusts. We determine diffusion constants $D$ from molecular dynamics simulations. We find that $D$ for coulomb crystals with relatively soft-core $1/r$ interactions may be larger than $D$ for Lennard-Jones or other solids with harder-core interactions. Diffusion, for simulations of nearly perfect body-centered-cubic lattices, involves the exchange of ions in ring-like configurations. Here ions "hop" in unison without the formation of long lived vacancies. Diffusion, for imperfect crystals, involves the motion of defects. Finally, we find that diffusion, for an amorphous system rapidly quenched from coulomb parameter $\\Gamma=175$ to coulomb parameters up to $\\Gamma=1750$, is fast enough so that the system starts to crystallize during long simulation runs. These results strongly suggest that coulomb solids in cold white dwarf stars, and the crust of neutron stars, will be crystalline and not amorphous.

J. Hughto; A. S. Schneider; C. J. Horowitz; D. K. Berry
2011-04-25

416

An introduction to Photonic Crystals

  Chemistry Websites

Summary: An introduction to Photonic Crystals Optics and Photonics Spring 2012 Libo Weng #12;Outline · Definition · Butterfly ­ Photonic crystals in nature · Comparison between semiconductor(electrons) and photonic crystal(photons) · Physics Origin of Band Gap · Defects in photonic crystals and Applications

Palffy-Muhoray, Peter

417

A classical analog to topological non-local quantum interference effect

  Quantum Physics (arXiv)

Summary: The two main features of the Aharonov-Bohm effect are the topological dependence of accumulated phase on the winding number around the magnetic fluxon, and non-locality -- local observations at any intermediate point along the trajectories are not affected by the fluxon. The latter property is usually regarded as exclusive to quantum mechanics. Here we show that both the topological and non-local features of the Aharonov-Bohm effect can be manifested in a classical model that incorporates random noise. The model also suggests new types of multi-particle topological non-local effects which have no quantum analog.

Y. Aharonov; S. Popescu; B. Reznik; A. Stern
2003-11-23

418

Interferometry using spatial adiabatic passage in quantum dot networks

  Quantum Physics (arXiv)

Summary: We show that techniques of spatial adiabatic passage can be used to realise an electron interferometer in a geometry analogous to a conventional Aharonov-Bohm ring, with transport of the particle through the device modulated using coherent transport adiabatic passage. This device shows an interesting interplay between the adiabatic and non-adiabatic behaviour of the system. The transition between non-adiabatic and adiabatic behaviour may be tuned via system parameters and the total time over which the protocol is enacted. Interference effects in the final state populations analogous to the electrostatic Aharonov-Bohm effect are observed.

Lenneke M Jong; Andrew D. Greentree
2009-12-16

419

A Note on the Sagnac Effect and Current Terrestrial Experiments

  General Relativity & Quantum Cosmology (arXiv)

Summary: We focus on the Sagnac effect for light beams in order to evaluate if the higher order relativistic corrections of kinematic origin could be relevant for actual terrestrial experiments. Moreover, we discuss to what extent the analogy with the Aharonov-Bohm effect holds true in a fully relativistic framework. We show that the analogy with the Aharonov-Bohm is not true in general, but is recovered in a suitable low order approximation, and that even though the Sagnac effect is influenced by both the position of the interferometer in the rotating frame and its extension, these effects are negligible for current terrestrial experiments.

Matteo Luca Ruggiero; Angelo Tartaglia
2014-06-04

420

Multiparticle Interference, GHZ Entanglement, and Full Counting Statistics

  Quantum Physics (arXiv)

Summary: We investigate the quantum transport in a generalized N-particle Hanbury Brown--Twiss setup enclosing magnetic flux, and demonstrate that the Nth-order cumulant of current cross correlations exhibits Aharonov-Bohm oscillations, while there is no such oscillation in all the lower-order cumulants. The multiparticle interference results from the orbital Greenberger-Horne-Zeilinger entanglement of N indistinguishable particles. For sufficiently strong Aharonov-Bohm oscillations the generalized Bell inequalities may be violated, proving the N-particle quantum nonlocality.

H. -S. Sim; E. V. Sukhorukov
2006-01-23

421

Quantum Theory of Strings in Abelian Higgs Model

  HEP - Theory (arXiv)

Summary: Starting from the Abelian Higgs field theory, we construct the theory of quantum Abrikosov--Nielsen--Olesen strings. It is shown that in four space -- time dimensions in the limit of infinitely thin strings, the conformal anomaly is absent, and the quantum theory exists. We also study an analogue of the Aharonov--Bohm effect: the corresponding topological interaction is proportional to the linking number of the string world sheet and the particle world trajectory. The creation operators of the strings are explicitly constructed in the path integral and in the Hamiltonian formulation of the theory. We show that the Aharonov--Bohm effect gives rise to several nontrivial commutation relations.

E. T. Akhmedov; M. N. Chernodub; M. I. Polikarpov; M. A. Zubkov
1995-05-12

422

Charge screening in the Higgs phase of Chern-Simons electrodynamics

  HEP - Theory (arXiv)

Summary: Though screened at large distances, a point-like electric charge can still participate in a long-range electromagnetic interaction in the Higgs phase, namely that with the Aharonov-Bohm field produced by a localized magnetic flux. We show that this follows from the fact that the screening charge, induced in the presence of a Higgs condensate, does not interact with the Aharonov-Bohm field. The same phenomenon occurs, if a Chern-Simons term is incorporated in the action. This observation provides a physical basis for the recently proposed classification of the superselection sectors of this model in terms of a quasi-Hopf algebra.

F. Alexander Bais; A. Morozov; M. de Wild Propitius
1993-03-26

423

Deformed Skyrme Crystals

  HEP - Theory (arXiv)

Summary: The Skyrme crystal, a solution of the Skyrme model, is the lowest energy-per-charge configuration of skyrmions seen so far. Our numerical investigations show that, as the period in various space directions is changed, one obtains various other configurations, such as a double square wall, and parallel vortex-like solutions. We also show that there is a sudden "phase transition" between a Skyrme crystal and the charge 4 skyrmion with cubic symmetry as the period is gradually increased in all three space directions.

J. Silva Lobo
2010-10-04

424

Generalized Skyrme Crystals

  HEP - Theory (arXiv)

Summary: This letter deals with triply-periodic (crystalline) solutions in a family of Skyrme systems, namely where the field takes values in the squashed 3-sphere. The family includes the standard Skyrme model (round 3-sphere), and the Skyrme-Faddeev case (maximal squashing). In the round case, the lowest-energy crystal is the well-known cubic lattice of half-skyrmions; but in the squashed case the minimal-energy crystal structures turn out to be different. We describe some of the solutions that arise, including arrays of vortices and multi-sheeted structures.

J. Silva Lobo; R. S. Ward
2010-12-18

425

Demazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function

  MIT - DSpace

Summary: It has previously been shown that, at least for non-exceptional Kac-Moody Lie algebras, there is a close connection between Demazure crystals and tensor products of Kirillov-Reshetikhin crystals. In particular, certain ...

Schilling, Anne

426

Colloids at liquid crystal interfaces 

  Edinburgh, University of - Research Archive

Summary: This thesis presents a study of colloidal particles dispersed in thermotropic liquid crystals. It has a specific focus on colloids in the presence of an interface between the liquid crystal and an isotropic fluid. Three ...

Pawsey, Anne Claire
2014-06-28

427

Simulation of crystal extraction experiments

  HEP - Experiment (arXiv)

Summary: We discuss the simulation methods and results for the crystal extraction experiments performed recently at the high energy accelerators. Possible future applications of the crystal channeling technique are considered.

Valery M. Biryukov
2001-10-29

428

Acoustically bound crystals

  CERN Preprints

Summary: In these fluid dynamics videos, we show how bubbles flowing in a thin microchannel interact under an acoustic field. Because of acoustic interactions without direct contact, bubbles self-organize into periodic patterns, and spontaneously form acoustically bound crystals. We also present the interaction with boundaries, equivalent to the interaction with image bubbles, and unravel the peculiar vibration modes of the confined bubbles.

Marmottant, P; Thibault, P; Mathieu, M
2010-01-01

429

Nondiffractive sonic crystals

  Physics (arXiv)

Summary: We predict theoretically the nondiffractive propagation of sonic waves in periodic acoustic media (sonic crystals), by expansion into a set of plane waves (Bloch mode expansion), and by finite difference time domain calculations of finite beams. We also give analytical evaluations of the parameters for nondiffractive propagation, as well as the minimum size of the nondiffractively propagating acoustic beams.

Isabel Perez-Arjona; Victor J. Sanchez-Morcillo; Javier Redondo; Victor Espinosa; Kestutis Staliunas
2006-06-02

430

Efeitos de aplicações pós-colheita de fosfitos, ácido acetilsalicílico e 1-metilciclopropeno sobre a antracnose do mamoeiro.

  Open Access Theses and Dissertations

Summary: ??Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Biológicas, Departamento de Fitopatologia, 2008. Este trabalho teve como principal objetivo avaliar o efeito do uso de fosfitos,… (more)

Lopes, Leonardo Ferreira
2008-01-01

431

Análise do efeito da tensão média na resistência à fadiga por Fretting da liga AI 7050-T7451.

  Open Access Theses and Dissertations

Summary: ??Dissertação (mestrado)-Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Mecânica, 2010. Este trabalho apresenta um estudo experimental e teórico do efeito da tensão média… (more)

Figueiredo, Allisson Ribeiro
2010-01-01

432

Efeitos clastogênicos causados por vários sorotipos de Ureaplasma urealyticum e espécies do gênero Mycoplasma sobre culturas temporárias de linfócitos.

  Open Access Theses and Dissertations

Summary: ??Os efeitos clastogênicos causados por diferentes cepas Ureaplasma urealyticum e por cepas do gênero Mycoplasma foram avaliados ïn vitro\\", utilizando-se culturas temporárias de linfócitos humanos.… (more)

Regina Ayr Florio da Cunha
1993-01-01

433

Silicon photonic crystals spontaneous emission

  Physics Websites

Summary: etching 31 3.1 Introduction 32 3.2 Experimental 32 3.3 Anisotropic etching of silicon 33 3.4 DeviceSilicon photonic crystals and spontaneous emission #12;Silicon photonic crystals and spontaneous and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands. #12;Silicon photonic crystals

Polman, Albert

434

Crystals of Cadmium, Zinc Metalothionein

  CiteSeer

Summary: Single crystals have been grown of Cd,Zn metallothionein isoform II from rat liver. The space group is P41212(P43212) with unit cell dimensions a = b = 31.0 A and c = 120.0 A, and one molecule in the crystallographic asymmetric unit. The crystals are square bipyramids elongated on the tetragonal c-axis and are grown by repetitive seeding. The crystals are suitable for high resolution structure analysis. Assays of dissolved crystals show that the crystals have the same Cd and Zn content and amino acid composition as the native, as-isolated protein.

Karen A. Melis; Daniel C. Carter; Charles D. Stout; Dennis R. Winget

435

Optimization of crystal extraction experiment

  HEP - Experiment (arXiv)

Summary: Using a computer model for the crystal extraction, we investigate the bent-crystal parameters optimal for the extraction experiment. The optimal crystal curvature is found to be near 1 GeV/cm (for pv/R), i.e. a factor of 2--3 higher than for the crystal application in beam lines. An influence of the accelerator optics on extraction is discussed. A possibility of using the high-Z crystals for extraction is considered. The simulations for the ongoing experiments at the CERN-SPS and the Fermilab Tevatron, and for the proposed extraction at LHC, are presented.

Valery Biryukov
2001-10-11

436

Entangling Atoms in Photonic Crystals

  Quantum Physics (arXiv)

Summary: We propose a method for entangling a system of two-level atoms in photonic crystals. The atoms are assumed to move in void regions of a photonic crystal. The interaction between the atoms is mediated either via a defect mode or via resonant dipole-dipole interaction. We show that these interactions can produce pure entangled atomic states. We analyze the problem with parameters typical for currently existing photonic crystals and Rydberg atoms. We show that the atoms can emerge from photonic crystals in entangled states. Depending on the linear dimensions of the crystal and on their velocity of the entangled atoms can be separated by tens of centimeters.

Martin Konopka; Vladimir Buzek
1999-01-26

437

Crystalizing the genetic code

  CERN Preprints

Summary: New developments are presented in the framework of the model introduced by the authors in refs. [1,2] and in which nucleotides as well as codons are classified in crystal bases of the quantum group U_q(sl(2)+sl(2)) in the limit q -> 0. An operator which gives the correspondence between the amino-acids and the codons is now obtained for any known genetic code. The free energy released by base pairing of dinucleotides as well as the relative hydrophilicity and hydrophobicity of the dinucleosides are also computed. For the vertebrate series, a universal behaviour in the ratios of codon usage frequencies is put in evidence and is shown to fit nicely in our model. Then a first attempt to represent the mutations relative to the deletion of a pyrimidine by action of a suitable crystal spinor operator is proposed. Finally recent theoretical descriptions are reviewed and compared with our model.

Frappat, L; Sorba, Paul
2000-01-01

438

Cracks Cleave Crystals

  Condensed Matter (arXiv)

Summary: The problem of finding what direction cracks should move is not completely solved. A commonly accepted way to predict crack directions is by computing the density of elastic potential energy stored well away from the crack tip, and finding a direction of crack motion to maximize the consumption of this energy. I provide here a specific case where this rule fails. The example is of a crack in a crystal. It fractures along a crystal plane, rather than in the direction normally predicted to release the most energy. Thus, a correct equation of motion for brittle cracks must take into account both energy flows that are described in conventional continuum theories and details of the environment near the tip that are not.

Michael Marder
2004-03-05

439

Ultraviolet photonic crystal laser

  CERN Preprints

Summary: We fabricated two dimensional photonic crystal structures in zinc oxide films with focused ion beam etching. Lasing is realized in the near ultraviolet frequency at room temperature under optical pumping. From the measurement of lasing frequency and spatial profile of the lasing modes, as well as the photonic band structure calculation, we conclude that lasing occurs in the strongly localized defect modes near the edges of photonic band gap. These defect modes originate from the structure disorder unintentionally introduced during the fabrication process.

Wu, X; Liu, X; Li, S; Dravid, V P; Chang, R P H; Cao, H
2004-01-01

440

Classical Time Crystals

  General Relativity & Quantum Cosmology (arXiv)

Summary: We consider the possibility that classical dynamical systems display motion in their lowest energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary orbits of an angular variable as lowest-energy trajectories for nonsingular Lagrangian systems. Dynamics within orbits of broken symmetry provide a natural arena for formation of time crystals. We exhibit models of that kind, including a model with traveling density waves.

Alfred Shapere; Frank Wilczek
2012-02-12

441

Crystalizing the Spinon Basis

  HEP - Theory (arXiv)

Summary: The quasi-particle structure of the higher spin XXZ model is studied. We obtained a new description of crystals associated with the level $k$ integrable highest weight $U_q(\\widehat{sl_2})$ modules in terms of the creation operators at $q=0$ (the crystaline spinon basis). The fermionic character formulas and the Yangian structure of those integrable modules naturally follow from this description. We have also derived the conjectural formulas for the multi quasi-particle states at $q=0$.

Atsushi Nakayashiki; Yasuhiko Yamada
1995-04-10

442

Living Liquid Crystals

  CERN Preprints

Summary: Collective motion of self-propelled organisms or synthetic particles often termed active fluid has attracted enormous attention in broad scientific community because of it fundamentally non-equilibrium nature. Energy input and interactions among the moving units and the medium lead to complex dynamics. Here we introduce a new class of active matter, living liquid crystals (LLCs) that combine living swimming bacteria with a lyotropic liquid crystal. The physical properties of LLCs can be controlled by the amount of oxygen available to bacteria, by concentration of ingredients, or by temperature. Our studies reveal a wealth of new intriguing dynamic phenomena, caused by the coupling between the activity-triggered flow and long-range orientational order of the medium. Among these are (a) non-linear trajectories of bacterial motion guided by non-uniform director, (b) local melting of the liquid crystal caused by the bacteria-produced shear flows, (c) activity-triggered transition from a non-flowing uniform state ...

Zhou, Shuang; Lavrentovich, Oleg D; Aranson, Igor S
2013-01-01

443

Widely tunable nonlinear liquid crystal-based photonic crystals I. C. Khooa

  Materials Science Websites

Summary: Widely tunable nonlinear liquid crystal-based photonic crystals I. C. Khooa , Yana Zhanga , A studies of 1-D and 2-d tunable nonlinear photonic crystals made of liquid crystal or liquid crystal: Nonlinear Liquid Crystals, photonic crystals, filters, switches, waveguides, super-prism effect. 1

Gopalan, Venkatraman

444

Testing Atom and Neutron Neutrality with Atom Interferometry

  HEP - Theory (arXiv)

Summary: We propose an atom-interferometry experiment based on the scalar Aharonov-Bohm effect which detects an atom charge at the 10^{-28}e level, and improves the current laboratory limits by 8 orders of magnitude. This setup independently probes neutron charges down to 10^{-28}e, 7 orders of magnitude below current bounds.

Asimina Arvanitaki; Savas Dimopoulos; Andrew A. Geraci; Jason Hogan; Mark Kasevich
2007-11-29

445

The reality of loops Alexander Afriat

  Physics Websites

Summary: the Aharonov-Bohm effect in mind) that the reality in question has to be somewhere, `thereabouts'; if it is not in the potential itself, might it not be in the loops around which it is integrated? I argue that no ontological),2 Lyre (2004) pp. 665-7 and especially Healey (2007).3 In a nutshell, : 1P. S380: "an ontological

Paris-Sud XI, Université de

446

Physica B 249--251 (1998) 295--301 Dephasing due to which path detector

  Engineering Websites

Summary: by a which path detector and thus verify Bohr's complementarity principle for fermions. We utilize a double affect the visibility of the interference, inducing thus dephasing. We develop a simple model to explain rights reserved. Keywords: Dephasing; Quantum dots; Aharonov--Bohm effect Bohr's complementarity

Buks, Eyal

447

Detlef Durr, Sheldon Goldstein, Roderich Tumulka, and Nino Zangh`i

  Mathematics Websites

Summary: (Copenhagen) interpretation of quantum mechanics, the development of which was led by the Danish physicist. The result was the Aharonov-Bohm effect: In quantum mechanics a magnetic field can influence the behavior David Bohm was a major twentieth-century physicist, one of the world's leading authorities on quantum

Goldstein, Sheldon

448

Eigenvalues and eigenfunctions of billiards in a constant magnetic field M. A. M. de Aguiar

  Materials Science Websites

Summary: . The quantum mechanical analogues of this simplifica- tion are the so-called boundary methods, which also threading the billiard, the so-called Aharonov- Bohm billiards 11,12 . The general case of a billiard to the so-called boundary integral equati

de Aguiar, Marcus A. M.

449

Carbon nanotubes in confined magnetic fields: gap oscillations and

  Physics Websites

Summary: Carbon nanotubes in confined magnetic fields: gap oscillations and persistent currents from a new;OutlineOutline Aharonov-Bohm oscillations in Carbon nanotubes Curvature effects Persistent currents #12 as a change in the interference pattern #12;The AB effect in carbon nano-tubes (CNTs) (I) A. Bachtold et al

Marini, Andrea

450

Remarks about Hardy inequalities on metric trees

  Mathematical Physics (arXiv)

Summary: We find sharp conditions on the growth of a rooted regular metric tree such that the Neumann Laplacian on the tree satisfies a Hardy inequality. In particular, we consider homogeneous metric trees. Moreover, we show that a non-trivial Aharonov-Bohm magnetic field leads to a Hardy inequality on a loop graph.

Tomas Ekholm; Rupert L. Frank; Hynek Kovarik
2007-11-13

451

Excitons in Carbon Nanotubes with Broken Time-Reversal Symmetry G. N. Ostojic,1

  Engineering Websites

Summary: ), in the circumferential boundary con- dition on the electronic wave function. As a result, metallic tubes become fields (>55 T). We show that the peak separation is determined by the Aharonov-Bohm phase due to the tube) parallel to the tube axis is that the band gap oscillates with period 0, the magnetic flux quantum [1

Kono, Junichiro

452

Global aspects of gravitomagnetism

  General Relativity & Quantum Cosmology (arXiv)

Summary: We consider global properties of gravitomagnetism by investigating the gravitomagnetic field of a rotating cosmic string. We show that although the gravitomagnetic field produced by such a configuration of matter vanishes locally, it can be detected globally. In this context we discuss the gravitational analogue of the Aharonov-Bohm effect.

A. Barros; V. B. Bezerra; C. Romero
2003-07-12

453

VOLUME 84, NUMBER 16 P H Y S I C A L R E V I E W L E T T E R S 17 APRIL 2000 Transmission Phase Shift of a Quantum Dot with Kondo Correlations

  Environmental Management and Restoration Websites

Summary: Shift of a Quantum Dot with Kondo Correlations Ulrich Gerland,1 Jan von Delft,1 T. A. Costi,2 and Yuval correlations on the transmission phase shift of a quantum dot in an Aharonov-Bohm ring. We predict in detail, has now become feasible using quantum dots, due to two recent experimental break- throughs: Kondo

von Delft, Jan

454

Nuclear Physics B341 (1990) 50--100 North-Holland

  Physics Websites

Summary: region can be detected at the boundary of the region, even in a theory with no massless gauge fields of cosmic string via the nonabelian Aharonov--Bohm effect. The string loop can carry charge even though-energy consequences even in the absence of light gauge fields. Imagine, for example, a gauge theory with continuous

Preskill, John

455

Hidden supersymmetry in quantum bosonic systems

  Nuclear Theory (arXiv)

Summary: We show that some simple well studied quantum mechanical systems without fermion (spin) degrees of freedom display, surprisingly, a hidden supersymmetry. The list includes the bound state Aharonov-Bohm, the Dirac delta and the Poschl-Teller potential problems, in which the unbroken and broken N=2 supersymmetry of linear and nonlinear (polynomial) forms is revealed.

Francisco Correa; Mikhail S. Plyushchay
2006-12-11

456

Nuclear Physics B 386 (1992) 27--42 P H VS I C S B North-Holland ________________

  Physics Websites

Summary: 26 May 1992 We analyze the charges carried by loops of string in models with non-abelian local of the Aharonov--Bohm interaction of the loop with another string. We describe the process of charge detection, and the transfer of charge between point particles and string loops, in terms of gauge-invariant correlation

Preskill, John

457

mn header will be provided by the publisher Counting Eigenvalues of Biharmonic Operators with Magnetic Fields

  Mathematics Websites

Summary: with Magnetic Fields W. D. Evans1 and Roger T. Lewis2 1 School of Mathematics, Cardiff University, 23, Birmingham, AL 35294-1170, USA Key words eigenvalues, biharmonic, Rellich inequality, Aharonov-Bohm magnetic of perturbations of the magnetic bi-harmonic operator 2 A in L2 (Rn ), n=2,3,4, where A is a magnetic vector


458

November 2009 EPL, 88 (2009) 47007 www.epljournal.org

  Materials Science Websites

Summary: in semiconductor quantum dots and rings [1­3] does not obey the Casimir-Onsager symmetry rules in magnetic field of the magnetic field, which follows from the time reversal symmetry and the sign of the entropy production rate of the conductance fluctuations has been calculated for quantum dots and Aharonov-Bohm rings using the Landauer

Gusev, Guennady

459

Non-Abelian Gauge Configuration with a Magnetic Field Concentrated at a Point

  HEP - Theory (arXiv)

Summary: A specific SU(2) gauge configuration yielding a magnetic field concentrated at a point is investigated. Its relation to the Aharonov-Bohm gauge potential and its cohomological meaning in a three dimensional space are clarified. Quantum mechanics of a spinning particle in such a gauge configuration is briefly discussed.

Minoru Hirayama; Takeshi Hamada; Masafumi Hasegawa
1997-11-10

460

VOLUME 83, NUMBER 8 P H Y S I C A L R E V I E W L E T T E R S 23 AUGUST 1999 Comment on "Ensemble-Average Spectrum of

  Computer Technologies and Information Sciences Websites

Summary: -Average Spectrum of Aharonov-Bohm Conductance Oscillations: Evidence for Spin-Orbit-Induced Berry's Phase the authors ascribe to a spin-orbit-induced Berry phase. The aim of this Comment is threefold. First, we argue-orbit-induced Berry phase [1] does not seem to be unique. Comparing P5 v and P65 v it is clear that as S increases


461

Spiral Fresnel wavelet patterns carrying topological charges allow for a holographic en/decoding of spin and charge. The nature of charge is given by a

  Physics Websites

Summary: . The Berry phase pattern emerging in the overlap region between charged spiral zones on the Poincaré disc constant, where the deviation from 1/137 can be assigned to the Berry phase. Regarding multi and Holography - Encoding Model for Charge and Spin Aharonov-Bohm Effect and Berry Phase Anniversary 50/25 2009

Binder, Bernd

462

Physics Letters B 315 ( 1993) 386-391 North-Holland PHYSIC S LETTERS B

  Physics Websites

Summary: July 1993 Editor: H. Georgi An interplay of the Aharonov-Bohm phase and the Berry phase appears-Casher (AC) effect [2]. Cyclic motion of a state in Hilbert space can also give rise to the Berry phase [3 of charge), the Berry phase applies only in the adiabatic limit, i.e. if the system includes "heavy" degrees

Aharonov, Yakir

463

Engineering and Probing Topological Bloch Bands in Optical Lattices

  Physics Websites

Summary: Engineering and Probing Topological Bloch Bands in Optical Lattices Monika Aidelsburger, Marcos Hall Hamiltonian 2 Realizing Artificial Gauge Fields 3 Probing Zak Phases in Topological Bands Probing Topological Features of Bloch Bands 4 An `Aharonov Bohm' Interferometer for measuring Berry curvature Sunday

Dalibard, Jean

464

AB and Berry phases for a quantum cloud of charge

  HEP - Theory (arXiv)

Summary: We investigate the phase accumulated by a charged particle in an extended quantum state as it encircles one or more magnetic fluxons, each carrying half a flux unit. A simple, essentially topological analysis reveals an interplay between the Aharonov-Bohm phase and Berry's phase.

Y. Aharonov; S. Coleman; A. S. Goldhaber; S. Nussinov; S. Popescu; B. Reznik; D. Rohrlich; L. Vaidman
1993-12-15

465

Comment on ``Quantum Phase of Induced Dipoles Moving in a Magnetic Field''

  Quantum Physics (arXiv)

Summary: It has recently been suggested that an Aharonov-Bohm phase should be capable of detection using beams of neutral polarizable particles. A more careful analysis of the proposed experiment suffices to show, however, that it cannot be performed regardless of the strength of the external electric and magnetic fields.

C. R. Hagen
1996-01-02

466

Telegraph Noise and Fractional Statistics in the Quantum Hall Effect Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

  Materials Science Websites

Summary: Telegraph Noise and Fractional Statistics in the Quantum Hall Effect C. L. Kane Department for an Aharonov- Bohm ring with a third contact in the middle of the ring. Because of their fractional statistics with a noise measurement provides a direct method for observing fractional statistics. DOI: 10.1103/Phys

Kane, Charles

467

Coulomb Blockade and Kondo Effect in a Quantum Hall Antidot H.-S. Sim,1

  Materials Science Websites

Summary: Coulomb Blockade and Kondo Effect in a Quantum Hall Antidot H.-S. Sim,1 M. Kataoka,2 Hangmo Yi,1 N quantization, and their effective spin fluctuation can result in Coulomb blockade, h=2e Aharonov-Bohm oscillations, and the Kondo effect. The resultant conductance is in qualitative agreement with recent

Choi, Mahn-Soo

468

International Journal of Modern Physics B Vol. 23, Nos. 12 & 13 (2009) 26032606

  Materials Science Websites

Summary: @romeo.if.usp.br Received 15 October 2008 We have studied Shubnikov de Haas oscillations and the quantum Hall effect in Ga analyzed and interpreted as the Aharonov-Bohm effect, in real and momen- tum space. For example, magnetic in different layers, which leads to oscillations of the effective interlayer tunneling amplitude.3

Gusev, Guennady

469

A Brief Note on the Magnetic Effects of the Electron

  Physics (arXiv)

Summary: In this paper it is shown that a recent formulation of the electron in terms of a Kerr-Newman type metric, exhibits a short range magnetic effect, as indeed has been observed at Cornell, and also an Aharonov-Bohm type of an effect.

B. G. Sidharth
2000-04-20

470

Annals of Physics 267, 61 74 (1998) Phase Coherence in Quantum Brownian Motion

  Physics Websites

Summary: in time and x&(t) moving backward in time. The role of the doubling of the degrees of freedom analogous to the Aharonov Bohm magnetic field induced phase, is explored. 1998 Academic Press 1B T R , (1) Article No. PH985811 61 0003-4916Ã?98 25.00 Copyright 1998 by Academic Press All rights

Blasone, Massimo

471

190 MARK P. SILVERMAN such as the role, spectrum, and observable consequences of basic

  Physics Websites

Summary: a new dynamical variable, the modular momentum, and discussed how several nonlocal interactions could. that modular momentum provides a dynamical description of the Aharonov-Bohm effect. I. INTRODU('TION In 1959190 MARK P. SILVERMAN such as the role, spectrum, and observable consequences of basic dynamical

Semon, Mark D.

472

Optics and interferometry with atoms and molecules Alexander D. Cronin*

  Physics Websites

Summary: . Aharonov-Bohm and Aharonov-Casher effects 1089 3. Berry phase 1090 4. is now reaching maturity as a powerful art with many applications in modern science. In this review range of fields that have resulted from the application of atom interferometers are reviewed

Cronin, Alex D.

473

Eur. Phys. J. D 14, 387396 (2001) THE EUROPEAN

  Physics Websites

Summary: of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) ­ 32 of a quantum system under observation becomes retarded or even impeded. We review this "quantum Zeno effect; related experiments 1 Introduction An isolated quantum system found in one of its eigen- states of energy

Wunderlich, Christof

474

Getting Informations of Wavefunctions in Quantum Dots from the Fano Effect Shingo KATSUMOTO, Hisashi AIKAWA, Kensuke KOBAYASHI and Yasuhiro IYE

  Physics Websites

Summary: Getting Informations of Wavefunctions in Quantum Dots from the Fano Effect Shingo KATSUMOTO quantum dots through the Fano effect. We first present clear observation of the Fano effect in an Aharonov-Bohm ring - quantum dot hybrid system. It is shown that the Fano effect can be a powerful tool

Iye, Yasuhiro

475

EUROPHYSICS LETTERS 15 December 1998 Europhys. Lett., 44 (6), pp. 693--699 (1998)

  Engineering Websites

Summary: using a two--particle scattering approach for the joint transitions in detector and quantum dot. Tracing--Bohm interferometer with a quantum dot in one of its arms. The quantum dot is coupled to a quantum system. An Aharonov--Bohm interferometer with a quantum dot is coupled to a discrete quantum detector via

Hackenbroich, Gregor

476

Yambo:Yambo: present, past and futurepresent, past and future

  Physics Websites

Summary: Alinden, J. F. McGilp Physica Status Solidi (2012) #12;02 Photovoltaics: Excitons at the Anatase TiO2 (001) surfaces Interest: Photocatalysis, Photovoltaics G. Giorgi et al. Phys. Rev. B 84 074301. Chem Phys. 131131, 084102(2009), 084102(2009) #12;Magnetic systems: Ab-initio Aharonov-Bohm effect

Marini, Andrea

477

Entanglement Witnesses from Single-Particle Interference

  Quantum Physics (arXiv)

Summary: We describe a general method of realizing entanglement witnesses in terms of the interference pattern of a single quantum probe. After outlining the principle, we discuss specific realizations both with electrons in mesoscopic Aharonov-Bohm rings and with photons in standard Young's double-slit or coherent-backscattering interferometers.

T. Scholak; F. Mintert; C. A. Müller
2008-09-23

478

Interlayer interference in double wells in a tilted magnetic field G. M. Gusev, C. A. Duarte, and T. E. Lamas

  Materials Science Websites

Summary: Interlayer interference in double wells in a tilted magnetic field G. M. Gusev, C. A. Duarte, and T to Aharonov-Bohm interference effect between cyclotron orbits in different layers. The interplay between, results from the interference between partial elec- tronic waves encircling the conductor in opposite

Gusev, Guennady

479

Interference of Charged Particles in a Vector Potential with Vanishing Magnetic Field

  HEP - Phenomenology (arXiv)

Summary: An interference experiment in a magnetic field free region with non vanishing vector potential created by two perpendicularly intersecting planes carrying uniform currents is discussed. The relation of this configuration to the Aharonov-Bohm potential is examined. An experimental set up which is finite in the direction of the electronic motion is studied.

I. H. Duru
1997-04-29

480

Nature Macmillan Publishers Ltd 1998 function between two traces which are measured at bias voltages

  Chemistry Websites

Summary: , 485­491 (1959). 2. Chambers, R. G. Shift of an electron interference pattern by enclosed magnetic flux., Wind, S. & Prober, D. E. Observation of Aharonov-Bohm electron interference effects with period h, S. et al. Novel interference effects between parallel quantum wells. Phys. Rev. Lett. 55, 2344­ 2347

Showalter, Kenneth

481

Topology, holes and sources Alexander Afriat

  Physics Websites

Summary: Topology, holes and sources Alexander Afriat January 3, 2013 Abstract The Aharonov-Bohm effect or Newton-Poisson gravity (or just about any radiation, propagation from a source). I distinguish between of "topological": 1. Topological1: related to the presence of a hole (containing a source, a solenoid or charge

Paris-Sud XI, Université de

482

Israeli Conference on Plasma Science and Applications Israel Plasma Science and Technology Association

  Plasma Physics and Fusion Websites

Summary: of plasma waves via formation of holes in phase space 14:45 - 15:00 A. Yahalom, Ariel Aharonov Bohm in a Vacuum Arc with a Black Body Electrode Configuration 16:35 - 16:50 E. Gidalevich and R. L. Boxman, TAU


483

Decoherence and interactions in an electronic Mach-Zehnder interferometer J. T. Chalker,1 Yuval Gefen,1,2 and M. Y. Veillette1

  Multidisciplinary Databases and Resources Websites

Summary: that the bias dependence of Aharonov- Bohm oscillations in source-drain conductance and noise power provides-drain conductance of the interfer- ometer, as the magnetic flux enclosed between its arms is changed. The high- purities within the sample and thermal or nonequilibrium electromagnetic radiation in the sample

Baltisberger, Jay H.

484

X-Ray Crystallography What do you need? A crystal. But not just any crystal a well ordered crystal

  Biology and Medicine Websites

Summary: X-Ray Crystallography What do you need? A crystal. But not just any crystal­ a well ordered crystal that will diffract x-rays strongly. A crystal cell is always the same for all the unit cells of a single crystal

Cavanagh, John

485

Canonical Transformations in Crystals

  Mathematical Physics (arXiv)

Summary: The space representations of linear canonical transformations were studied by Moshinsky and Quesne in 1972. For a few decades, the bilinear hamiltonian remained as the only exactly solvable representative for such problems. In this work we show that the Mello-Moshinsky equations can be solved exactly for a class of problems with discrete symmetry, leading to exact propagators for Wannier-Stark ladders in one and two dimensional crystals. We give a detailed study for a particle in a triangular lattice under the influence of a time-dependent electric field. A more general set of Mello-Moshinsky equations for arbitrary lattices is presented.

Emerson Sadurní
2013-08-14

486

Consistently melting crystals

  HEP - Theory (arXiv)

Summary: Recently Ooguri and Yamazaki proposed a statistical model of melting crystals to count BPS bound states of certain D-brane configurations on toric Calabi--Yau manifolds [arXiv:0811.2801]. This construction relied on a set of consistency conditions on the corresponding brane tiling, and in this note I show that these conditions are satisfied for any physical brane tiling; they follow from the conformality of the low energy field theory on the D-branes. As a byproduct I also provide a simple direct proof that any physical brane tiling has a perfect matching.

Klaus Larjo
2009-02-04

487

Nonlinearity in photonic crystal fibres.

  Open Access Theses and Dissertations

Summary: ??This thesis introduces the linear and nonlinear properties of photonic crystal fibre (PCF), describes the fabrication and characterisation of different PCFs, and demonstrates their applications… (more)

Xiong, Chunle
2008-01-01

488

TUNABLE LIQUID CRYSTAL PHOTONIC DEVICES.

  Open Access Theses and Dissertations

Summary: ??Liquid crystal (LC)-based adaptive optics are important for information processing, optical interconnections, photonics, integrated optics, and optical communications due to their tunable optical properties. In… (more)

Fan, Yun-Hsing
2005-01-01

489

Invisible defects in complex crystals

  Quantum Physics (arXiv)

Summary: We show that invisible localized defects, i.e. defects that can not be detected by an outside observer, can be realized in a crystal with an engineered imaginary potential at the defect site. The invisible defects are synthesized by means of supersymmetric (Darboux) transformations of an ordinary crystal using band-edge wave functions to construct the superpotential. The complex crystal has an entire real-valued energy spectrum and Bragg scattering is not influenced by the defects. An example of complex crystal synthesis is presented for the Mathieu potential.

S. Longhi; G. Della Valle
2013-06-04

490

Active and driven hydrodynamic crystals

  Condensed Matter (arXiv)

Summary: Motivated by the experimental ability to produce monodisperse particles in microfluidic devices, we study theoretically the hydrodynamic stability of driven and active crystals. We first recall the theoretical tools allowing to quantify the dynamics of elongated particles in a confined fluid. In this regime hydrodynamic interactions between particles arise from a superposition of potential dipolar singularities. We exploit this feature to derive the equations of motion for the particle positions and orientations. After showing that all five planar Bravais lattices are stationary solutions of the equations of motion, we consider separately the case where the particles are passively driven by an external force, and the situation where they are self-propelling. We first demonstrate that phonon modes propagate in driven crystals, which are always marginally stable. The spatial structure of the eigenmodes depend solely on the symmetries of the lattices, and on the orientation of the driving force. For active crystals, the stability of the particle positions and orientations depends not only on the symmetry of the crystals but also on the perturbation wavelengths and on the crystal density. Unlike unconfined fluids, the stability of active crystals is independent of the nature of the propulsion mechanism at the single particle level. The square and rectangular lattices are found to be linearly unstable at short wavelengths provided the volume fraction of the crystals is high enough. Differently, hexagonal, oblique, and face-centered crystals are always unstable. Our work provides a theoretical basis for future experimental work on flowing microfluidic crystals.

Nicolas Desreumaux; Nicolas Florent; Eric Lauga; Denis Bartolo
2012-09-05

491

Acoustic properties of colloidal crystals

  Condensed Matter (arXiv)

Summary: We present a systematic study of the frequency band structure of acoustic waves in crystals consisting of nonoverlapping solid spheres in a fluid. We consider colloidal crystals consisting of polystyrene spheres in water, and an opal consisting of close-packed silica spheres in air. The opal exhibits an omnidirectional frequency gap of considerable width; the colloidal crystals do not. The physical origin of the bands are discussed for each case in some detail. We present also results on the transmittance of finite slabs of the above crystals.

I. E. Psarobas; R. Sainidou; N. Stefanou; A. Modinos
2001-10-30

492

Solidification, Crystallization & Glass TransitionSolidification, Crystallization & Glass Transition Cooling the Melt solidification

  Materials Science Websites

Summary: Solidification, Crystallization & Glass TransitionSolidification, Crystallization & Glass Transition Cooling the Melt solidification Crystallization versus Formation of Glass Parameters related distribution function #12;#12; Hfusion Hd Log [Viscosity ()] Crystallization favoured by High (10-15) k

Subramaniam, Anandh

493

Processes and Crystallization Conditions

  CiteSeer

Summary: Abstract—Kepsut-Dursunbey volcanic field (KDVF) is located in NW Turkey and contains various products of the post-collisional Neogene magmatic activity. Two distinct volcanic suites have been recognized; the Kepsut volcanic suite (KVS) and the Dursunbey volcanic suite (DVS). The KVS includes basaltic trachyandesitebasaltic andesite-andesite lavas and associated pyroclastic rocks. The DVS consists of dacite-rhyodacite lavas and extensive pumice-ash fall and flow deposits. Petrographical features (i.e. existence of xenocrysts, glomerocrysts, and mixing-compatible textures) and mineral chemistry of phenocryst assemblages of both suites provide evidence for magma mixing/AFC. Calculated crystallization pressures and temperatures give values of 5.7–7.0 kbar and 927–982 °C for the KVS and 3.7–5.3 kbar and 783-787°C for the DVS, indicating separate magma reservoirs and crystallization in magma chambers at deep and mid crustal levels, respectively. These observations support the establishment and evolution of KDVF magma system promoted by episodic basaltic inputs which may generate and mix with crustal melts. Keywords—mineral chemistry, mixing, basaltic inputs, NW Turkey I.

Kamaci O; Altunkaynak S

494

Photonic Crystal Optical Tweezers

  CERN Preprints

Summary: Non-invasive optical manipulation of particles has emerged as a powerful and versatile tool for biological study and nanotechnology. In particular, trapping and rotation of cells, cell nuclei and sub-micron particles enables unique functionality for various applications such as tissue engineering, cancer research and nanofabrication. We propose and demonstrate a purely optical approach to rotate and align particles using the interaction of polarized light with photonic crystal nanostructures to generate enhanced trapping force. With a weakly focused laser beam we observed efficient trapping and transportation of polystyrene beads with sizes ranging from 10 um down to 190 nm as well as cancer cell nuclei. In addition, we demonstrated alignment of non-spherical particles using a 1-D photonic crystal structure. Bacterial cells were trapped, rotated and aligned with optical intensity as low as 17 uW/um^2. Finite-difference time domain (FDTD) simulations of the optical near-field and far-field above the photonic c...

Wilson, Benjamin K; Bachar, Stephanie; Knouf, Emily; Bendoraite, Ausra; Tewari, Muneesh; Pun, Suzie H; Lin, Lih Y
2009-01-01

495

Crystals and intersecting branes

  HEP - Theory (arXiv)

Summary: We show that the index of BPS bound states of D4, D2 and D0 branes in IIA theory compactified on a toric Calabi Yau are encoded in the combinatoric counting of restricted three dimensional partitions. Using the torus symmetry, we demonstrate that the Euler character of the moduli space of bound states localizes to the number of invariant configurations that can be obtained by gluing D0 bound states in the C^3 vertex along the D2 brane wrapped P^1 legs of the toric diagram. We obtain a geometric realization of these configurations as a crystal associated to the extra bound states of D0 branes at the singular points of a single D4 brane wrapping a high degree equivariant surface that carries the total D4 charge. We reproduce some known examples of the partition function computed in the opposite regime where D0 and D2 charge are dissolved into D4 flux, as well as significantly generalize these results. The crystal representation of the BPS bound states provides a direct realization of the OSV relation to the square of the topological string partition function, which in toric Calabi Yau is also described by a theory of three dimensional partitions.

Daniel Jafferis
2006-07-05

496

Efeito do agente quelante na adsorção e purificação de pro-insulina recombinante em imac.

  Open Access Theses and Dissertations

Summary: ??Este trabalho visou investigar o efeito dos quelatos IDA-Ni(II), CM-Asp-Ni(II), TED-Ni(II) e TREN-Ni(II) na purificação de pró-insulina humana recombinante com cauda de poli(histidina) (PIS) a… (more)

Goes, Lidiana Cristina de
2009-01-01

497

Crystal Potential Formula for the Calculation of Crystal Lattice Sums1 Don Steiger and Calvin Ahlbrandt

  Chemistry Websites

Summary: Crystal Potential Formula for the Calculation of Crystal Lattice Sums1 Don Steiger and Calvin of the central unit cell of a finite crystal; this formula is called the crystal potential formula. The crystal potential formula is based on a two- center Cartesian multipole expansion. The key feature of the crystal

Glaser, Rainer

498

Crystallization of G Protein-Coupled

  Biology and Medicine Websites

Summary: CHAPTER Crystallization of G Protein-Coupled Receptors 24David Salom*, Pius S. Padayatti............................................................................................................ 452 24.1 Crystallization of Bovine Rhodopsin.1.1.5 Crystallization .....................................................................454 24.1.2 Methods

Palczewski, Krzysztof

499

Taub-NUT Crystal

  HEP - Theory (arXiv)

Summary: We consider the Gibbons-Hawking metric for a three-dimensional periodic array of multi-Taub-NUT centers, containing not only centers with a positive NUT charge but also ones with a negative NUT charge. The latter are regarded as representing the asymptotic form of the Atiyah-Hitchin metric. The periodic arrays of Taub-NUT centers have close parallels with ionic crystals, where the Gibbons-Hawking potential plays the role of the Coulomb static potential of the ions, and are similarly classified according to their space groups. After a periodic identification and a Z2 projection, the array is transformed by T-duality to a system of NS5-branes with the SU(2) structure, and a further standard embedding yields, though singular, a half-BPS heterotic 5-brane background with warped compact transverse dimensions. A discussion is given of the possibility of probing the singular geometry by two-dimensional gauge theories.

Harunobu Imazato; Shun'ya Mizoguchi; Masaya Yata
2011-07-18

500

Beyond the Dirac phase factor: Dynamical Quantum Phase-Nonlocalities in the Schroedinger Picture

  Mathematical Physics (arXiv)

Summary: Generalized solutions of the standard gauge transformation equations are presented and discussed in physical terms. They go beyond the usual Dirac phase factors and they exhibit nonlocal quantal behavior, with the well-known Relativistic Causality of classical fields affecting directly the phases of wavefunctions in the Schroedinger Picture. These nonlocal phase behaviors, apparently overlooked in path-integral approaches, give a natural account of the dynamical nonlocality character of the various (even static) Aharonov-Bohm phenomena, while at the same time they seem to respect Causality. Indeed, for particles passing through nonvanishing magnetic or electric fields they lead to cancellations of Aharonov-Bohm phases at the observation point, generalizing earlier semiclassical experimental observations (of Werner & Brill) to delocalized (spread-out) quantum states. This leads to a correction of previously unnoticed sign-errors in the literature, and to a natural explanation of the deeper reason why certain time-dependent semiclassical arguments are consistent with static results in purely quantal Aharonov-Bohm configurations. These nonlocalities also provide a remedy for misleading results propagating in the literature (concerning an uncritical use of Dirac phase factors, that persists since the time of Feynman's work on path integrals). They are shown to conspire in such a way as to exactly cancel the instantaneous Aharonov-Bohm phase and recover Relativistic Causality in earlier "paradoxes" (such as the van Kampen thought-experiment), and to also complete Peshkin's discussion of the electric Aharonov-Bohm effect in a causal manner. The present formulation offers a direct way to address time-dependent single- vs double-slit experiments and the associated causal issues -- issues that have recently attracted attention, with respect to the inability of current theories to address them.

Konstantinos Moulopoulos
2011-05-11

Some links on this page may take you to non-federal websites. Their policies may differ from this site.