Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field

Ruiz, D. E.; Ellison, C. L.; Dodin, I. Y.

doi:10.1103/PhysRevA.92.062124

Title: Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field

Abstract

Here, we report a point-particle ponderomotive model of a Dirac electron oscillating in a high-frequency field. Starting from the Dirac Lagrangian density, we derive a reduced phase-space Lagrangian that describes the relativistic time-averaged dynamics of such a particle in a geometrical-optics laser pulse propagating in vacuum. The pulse is allowed to have an arbitrarily large amplitude provided that radiation damping and pair production are negligible. The model captures the Bargmann-Michel-Telegdi (BMT) spin dynamics, the Stern-Gerlach spin-orbital coupling, the conventional ponderomotive forces, and the interaction with large-scale background fields (if any). Agreement with the BMT spin precession equation is shown numerically. The commonly known theory in which ponderomotive effects are incorporated in the particle effective mass is reproduced as a special case when the spin-orbital coupling is negligible. This model could be useful for studying laser-plasma interactions in relativistic spin-1/2 plasmas.

Authors:

^[1]; Ellison, C. L. ^[1]; Dodin, I. Y. ^[1]

Princeton Univ., Princeton, NJ (United States). Dept. of Astrophysical Sciences

Publication Date:: Wed Dec 16 00:00:00 EST 2015

Research Org.:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1254730

Alternate Identifier(s):: OSTI ID: 1234070

Report Number(s):: PPPL-5204
Journal ID: ISSN 1050-2947; PLRAAN

Grant/Contract Number:: DE274-FG52-08NA28553; AC02-09CH11466; HDTRA1-11-1-0037; 32-CFR-168a

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review A - Atomic, Molecular, and Optical Physics

Additional Journal Information:: Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1050-2947

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Hamiltonian; laser-plasma interactions; nonlinear theories; ponderomotive force

Citation Formats


                    Ruiz, D. E., Ellison, C. L., and Dodin, I. Y. Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevA.92.062124.

Copy to clipboard


                    Ruiz, D. E., Ellison, C. L., & Dodin, I. Y. Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field.  United States.  https://doi.org/10.1103/PhysRevA.92.062124

Copy to clipboard


                    Ruiz, D. E., Ellison, C. L., and Dodin, I. Y. Wed .  
"Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field".  United States.  https://doi.org/10.1103/PhysRevA.92.062124.  https://www.osti.gov/servlets/purl/1254730.

Copy to clipboard


                    
@article{osti_1254730,

  title        = {Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field},

  author       = {Ruiz, D. E. and Ellison, C. L. and Dodin, I. Y.},

  abstractNote = {Here, we report a point-particle ponderomotive model of a Dirac electron oscillating in a high-frequency field. Starting from the Dirac Lagrangian density, we derive a reduced phase-space Lagrangian that describes the relativistic time-averaged dynamics of such a particle in a geometrical-optics laser pulse propagating in vacuum. The pulse is allowed to have an arbitrarily large amplitude provided that radiation damping and pair production are negligible. The model captures the Bargmann-Michel-Telegdi (BMT) spin dynamics, the Stern-Gerlach spin-orbital coupling, the conventional ponderomotive forces, and the interaction with large-scale background fields (if any). Agreement with the BMT spin precession equation is shown numerically. The commonly known theory in which ponderomotive effects are incorporated in the particle effective mass is reproduced as a special case when the spin-orbital coupling is negligible. This model could be useful for studying laser-plasma interactions in relativistic spin-1/2 plasmas.},

  doi          = {10.1103/PhysRevA.92.062124},

  journal      = {Physical Review A - Atomic, Molecular, and Optical Physics},

  number       = 6,

  volume       = 92,

  place        = {United States},

  year         = {Wed Dec 16 00:00:00 EST 2015},

  month        = {Wed Dec 16 00:00:00 EST 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevA.92.062124

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 7 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Quantum Plasma Effects in the Classical Regime
journal, April 2008

Brodin, G.; Marklund, M.; Manfredi, G.
Physical Review Letters, Vol. 100, Issue 17
DOI: 10.1103/PhysRevLett.100.175001

The Vector Representation of Spinning Particle in the Quantum Theory, I
journal, October 1955

Takabayasi, Takehiko
Progress of Theoretical Physics, Vol. 14, Issue 4
DOI: 10.1143/PTP.14.283

Relativistic Hydrodynamics of the Dirac Matter: Part I. General Theory
journal, January 1957

Takabayasi, Takehiko
Progress of Theoretical Physics Supplement, Vol. 4
DOI: 10.1143/PTPS.4.2

Dynamics of Spin- $\frac{1}{2}$ Quantum Plasmas
journal, January 2007

Marklund, Mattias; Brodin, Gert
Physical Review Letters, Vol. 98, Issue 2
DOI: 10.1103/PhysRevLett.98.025001

Effects of the $g$ Factor in Semiclassical Kinetic Plasma Theory
journal, December 2008

Brodin, Gert; Marklund, Mattias; Zamanian, Jens
Physical Review Letters, Vol. 101, Issue 24
DOI: 10.1103/PhysRevLett.101.245002

Spin and magnetization effects in plasmas
journal, May 2011

Brodin, G.; Marklund, M.; Zamanian, J.
Plasma Physics and Controlled Fusion, Vol. 53, Issue 7
DOI: 10.1088/0741-3335/53/7/074013

Linear and nonlinear wave propagation in weakly relativistic quantum plasmas
journal, January 2013

Stefan, Martin; Brodin, Gert
Physics of Plasmas, Vol. 20, Issue 1
DOI: 10.1063/1.4773897

Lagrangian approach to the semirelativistic electron dynamics in the mean-field approximation
journal, September 2013

Dixit, Anant; Hinschberger, Yannick; Zamanian, Jens
Physical Review A, Vol. 88, Issue 3
DOI: 10.1103/PhysRevA.88.032117

Quantum-relativistic hydrodynamic model for a spin-polarized electron gas interacting with light
journal, July 2014

Morandi, Omar; Zamanian, Jens; Manfredi, Giovanni
Physical Review E, Vol. 90, Issue 1
DOI: 10.1103/PhysRevE.90.013103

Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: Spin-electron acoustic wave appearance
journal, March 2015

Andreev, Pavel A.
Physical Review E, Vol. 91, Issue 3
DOI: 10.1103/PhysRevE.91.033111

Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons
journal, October 2015

Andreev, Pavel A.; Kuz’menkov, L. S.
Annals of Physics, Vol. 361
DOI: 10.1016/j.aop.2015.07.004

Charged Particles in a Non-uniform Radio-frequency Field
journal, November 1957

Boot, H. A. H.; R. -S. -Harvie, R. B.
Nature, Vol. 180, Issue 4596
DOI: 10.1038/1801187a0

Ponderomotive Force and Linear Susceptibility in Vlasov Plasma
journal, August 1977

Cary, John R.; Kaufman, Allan N.
Physical Review Letters, Vol. 39, Issue 7
DOI: 10.1103/PhysRevLett.39.402

Spin Contribution to the Ponderomotive Force in a Plasma
journal, September 2010

Brodin, G.; Misra, A. P.; Marklund, M.
Physical Review Letters, Vol. 105, Issue 10
DOI: 10.1103/PhysRevLett.105.105004

Ponderomotive force due to the intrinsic spin in extended fluid and kinetic models
journal, March 2011

Stefan, Martin; Zamanian, Jens; Brodin, Gert
Physical Review E, Vol. 83, Issue 3
DOI: 10.1103/PhysRevE.83.036410

Mutual Refraction of Electrons and Photons
journal, October 1966

Kibble, T. W. B.
Physical Review, Vol. 150, Issue 4
DOI: 10.1103/PhysRev.150.1060

Refraction of Electron Beams by Intense Electromagnetic Waves
journal, June 1966

Kibble, T. W. B.
Physical Review Letters, Vol. 16, Issue 23
DOI: 10.1103/PhysRevLett.16.1054

The Lagrangian formulation of strong-field quantum electrodynamics in a plasma
journal, May 2014

Raicher, Erez; Eliezer, Shalom; Zigler, Arie
Physics of Plasmas, Vol. 21, Issue 5
DOI: 10.1063/1.4875742

Positive and negative effective mass of classical particles in oscillatory and static fields
journal, March 2008

Dodin, I. Y.; Fisch, N. J.
Physical Review E, Vol. 77, Issue 3
DOI: 10.1103/PhysRevE.77.036402

Ponderomotive acceleration of hot electrons in tenuous plasmas
journal, September 2009

Geyko, V. I.; Fraiman, G. M.; Dodin, I. Y.
Physical Review E, Vol. 80, Issue 3
DOI: 10.1103/PhysRevE.80.036404

The Quantum Theory of the Electron
journal, February 1928

Dirac, P. A. M.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 117, Issue 778
DOI: 10.1098/rspa.1928.0023

Ray Tracing and Beyond
book, January 2014

Tracy, E. R.; Brizard, A. J.; Richardson, A. S.
Cambridge University Press
DOI: 10.1017/CBO9780511667565

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
journal, May 1959

Bargmann, V.; Michel, Louis; Telegdi, V. L.
Physical Review Letters, Vol. 2, Issue 10
DOI: 10.1103/PhysRevLett.2.435

Geometric integrators for ODEs
journal, April 2006

McLachlan, Robert I.; Quispel, G. Reinout W.
Journal of Physics A: Mathematical and General, Vol. 39, Issue 19
DOI: 10.1088/0305-4470/39/19/S01

Geometric view on noneikonal waves
journal, April 2014

Dodin, I. Y.
Physics Letters A, Vol. 378, Issue 22-23
DOI: 10.1016/j.physleta.2014.04.004

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically
journal, November 2012

Dodin, I. Y.; Fisch, N. J.
Physical Review A, Vol. 86, Issue 5
DOI: 10.1103/PhysRevA.86.053834

Lagrangian geometrical optics of nonadiabatic vector waves and spin particles
journal, October 2015

Ruiz, D. E.; Dodin, I. Y.
Physics Letters A, Vol. 379, Issue 38
DOI: 10.1016/j.physleta.2015.07.038

On the correspondence between quantum and classical variational principles
journal, October 2015

Ruiz, D. E.; Dodin, I. Y.
Physics Letters A, Vol. 379, Issue 40-41
DOI: 10.1016/j.physleta.2015.06.014

A general approach to linear and non-linear dispersive waves using a Lagrangian
journal, June 1965

Whitham, G. B.
Journal of Fluid Mechanics, Vol. 22, Issue 2
DOI: 10.1017/S0022112065000745

The Dirac Equation
book, August 1992

Thaller, Bernd
Theoretical and Mathematical Physics
DOI: 10.1007/978-3-662-02753-0

Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser
journal, April 1997

Malka, G.; Lefebvre, E.; Miquel, J. L.
Physical Review Letters, Vol. 78, Issue 17
DOI: 10.1103/PhysRevLett.78.3314

Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum
journal, September 1998

Quesnel, Brice; Mora, Patrick
Physical Review E, Vol. 58, Issue 3
DOI: 10.1103/PhysRevE.58.3719

Kinetic modeling of intense, short laser pulses propagating in tenuous plasmas
journal, January 1997

Mora, Patrick; Antonsen, Jr., Thomas M.
Physics of Plasmas, Vol. 4, Issue 1
DOI: 10.1063/1.872134

Drift Lagrangian for a relativistic particle in an intense laser field
journal, August 2003

Dodin, I. Y.; Fisch, N. J.; Fraiman, G. M.
Journal of Experimental and Theoretical Physics Letters, Vol. 78, Issue 4
DOI: 10.1134/1.1622032

First-principles variational formulation of polarization effects in geometrical optics
journal, October 2015

Ruiz, D. E.; Dodin, I. Y.
Physical Review A, Vol. 92, Issue 4
DOI: 10.1103/PhysRevA.92.043805

Group Velocity and Nonlinear Dispersive Wave Propagation
journal, March 1973

Hayes, W. D.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 332, Issue 1589
DOI: 10.1098/rspa.1973.0021

Electron cavitation and acceleration in the wake of an ultraintense, self-focused laser pulse
journal, March 1996

Mora, Patrick; Antonsen, Thomas M.
Physical Review E, Vol. 53, Issue 3
DOI: 10.1103/PhysRevE.53.R2068

Comment on “Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser”
journal, February 1998

Mora, P.; Quesnel, B.
Physical Review Letters, Vol. 80, Issue 6
DOI: 10.1103/PhysRevLett.80.1351

�ber eine Klasse von L�sungen der Diracschen Gleichung
journal, March 1935

Wolkow, D. M.
Zeitschrift f�r Physik, Vol. 94, Issue 3-4
DOI: 10.1007/BF01331022

Wavefunctions of a free electron in an external field and their application in intense field interactions. II. Relativistic treatment
journal, August 1980

Bergou, J.; Varro, S.
Journal of Physics A: Mathematical and General, Vol. 13, Issue 8
DOI: 10.1088/0305-4470/13/8/030

Analytical solutions of the Dirac and the Klein-Gordon equations in plasma induced by high-intensity laser
journal, August 2013

Raicher, Erez; Eliezer, Shalom
Physical Review A, Vol. 88, Issue 2
DOI: 10.1103/PhysRevA.88.022113

Works referencing / citing this record:

Extending geometrical optics: A Lagrangian theory for vector waves
journal, May 2017

Ruiz, D. E.; Dodin, I. Y.
Physics of Plasmas, Vol. 24, Issue 5
DOI: 10.1063/1.4977537

Uphill acceleration in a spatially modulated electrostatic field particle accelerator
journal, November 2018

Almansa, I.; Burton, D. A.; Cairns, R. A.
Physics of Plasmas, Vol. 25, Issue 11
DOI: 10.1063/1.5049711

Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory
journal, July 2019

Dodin, I. Y.; Ruiz, D. E.; Yanagihara, K.
Physics of Plasmas, Vol. 26, Issue 7
DOI: 10.1063/1.5095076

Similar Records in DOE PAGES and OSTI.GOV collections:

Lagrangian geometrical optics of nonadiabatic vector waves and spin particles

Journal Article Ruiz, D. E. ; Dodin, I. Y. - Physics Letters. A

Linear vector waves, both quantum and classical, experience polarization-driven bending of ray trajectories and polarization dynamics that can be interpreted as the precession of the "wave spin". Here, both phenomena are governed by an effective gauge Hamiltonian vanishing in leading-order geometrical optics. This gauge Hamiltonian can be recognized as a generalization of the Stern-Gerlach Hamiltonian that is commonly known for spin-1/2 quantum particles. The corresponding reduced Lagrangians for continuous nondissipative waves and their geometrical-optics rays are derived from the fundamental wave Lagrangian. The resulting Euler-Lagrange equations can describe simultaneous interactions of N resonant modes, where N is arbitrary, and leadmore »« less
Cited by 19
https://doi.org/10.1016/j.physleta.2015.07.038

Full Text Available
Symplectic orbit and spin tracking code for all-electric storage rings

Journal Article Talman, Richard M. ; Talman, John D. - Physical Review Special Topics. Accelerators and Beams

Proposed methods for measuring the electric dipole moment (EDM) of the proton use an intense, polarized proton beam stored in an all-electric storage ring “trap.” At the “magic” kinetic energy of 232.792 MeV, proton spins are “frozen,” for example always parallel to the instantaneous particle momentum. Energy deviation from the magic value causes in-plane precession of the spin relative to the momentum. Any nonzero EDM value will cause out-of-plane precession—measuring this precession is the basis for the EDM determination. A proposed implementation of this measurement shows that a proton EDM value of 10^–29e–cm or greater will produce a statistically significant,more »« less
Cited by 6
https://doi.org/10.1103/PhysRevSTAB.18.074003
Foldy-Wouthuysen transformation for a Dirac-Pauli dyon and the Thomas-Bargmann-Michel-Telegdi equation

Journal Article Chen, Tsung-Wei ; Chiou, Dah-Wei ; Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan - Physical Review. A

The classical dynamics for a charged point particle with intrinsic spin is governed by a relativistic Hamiltonian for the orbital motion and by the Thomas-Bargmann-Michel-Telegdi equation for the precession of the spin. It is natural to ask whether the classical Hamiltonian (with both the orbital and spin parts) is consistent with that in the relativistic quantum theory for a spin-1/2 charged particle, which is described by the Dirac equation. In the low-energy limit, up to terms of the seventh order in 1/E{sub g} (E{sub g}=2mc{sup 2} and m is the particle mass), we investigate the Foldy-Wouthuysen (FW) transformation of themore »« less
https://doi.org/10.1103/PHYSREVA.82.012115
Accurately simulating nine-dimensional phase space of relativistic particles in strong fields

Journal Article Li, Fei ; Decyk, Viktor K. ; Miller, Kyle G. ; ... - Journal of Computational Physics

Next-generation high-power laser systems that can be focused to ultra-high intensities exceeding 10²³ W/cm² are enabling new physics regimes and applications. The physics of how these lasers interact with matter is highly nonlinear, relativistic, and can involve lowest-order quantum effects. The current tool of choice for modeling these interactions is the particle-in-cell (PIC) method. In the presence of strong electromagnetic fields, the motion of charged particles and their spin is affected by radiation reaction (either the semi-classical or the quantum limit). Standard (PIC) codes usually use Boris or similar operator-splitting methods to advance the particles in standard phase space. Thesemore »« less
https://doi.org/10.1016/j.jcp.2021.110367

Full Text Available
ASYMPTOTIC SOLUTION OF THE DIRAC EQUATION

Journal Article Rubinow, S I ; Keller, J B - Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

The WKB method is applied to solve the Dirac equation and the modified Dirac equation appropriate to a spin-1/2 particle with an anomalous magnetic moment. The solution consists of a phase factor multiplied by a spinor amplitude which is a power series in Planck's constant. The phase is a solution of the Hamilton-Jacobi equation of relativistic mechanics for a spinless particle without electric or magnetic moments. Each term in the spinor amplitude satisfies an ordinary differential equation along the relativistic trajectories. The equation for the leading amplitude yields an equation for the polarization four-vector which is identical with that derivedmore »« less
https://doi.org/10.1103/PhysRev.131.2789

Similar Records

Title: Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field

Abstract

Citation Formats

Quantum Plasma Effects in the Classical Regime journal, April 2008

The Vector Representation of Spinning Particle in the Quantum Theory, I journal, October 1955

Relativistic Hydrodynamics of the Dirac Matter: Part I. General Theory journal, January 1957

Dynamics of Spin- 1 2 Quantum Plasmas journal, January 2007

Effects of the g Factor in Semiclassical Kinetic Plasma Theory journal, December 2008

Spin and magnetization effects in plasmas journal, May 2011

Linear and nonlinear wave propagation in weakly relativistic quantum plasmas journal, January 2013

Lagrangian approach to the semirelativistic electron dynamics in the mean-field approximation journal, September 2013

Quantum-relativistic hydrodynamic model for a spin-polarized electron gas interacting with light journal, July 2014

Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: Spin-electron acoustic wave appearance journal, March 2015

Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons journal, October 2015

Charged Particles in a Non-uniform Radio-frequency Field journal, November 1957

Ponderomotive Force and Linear Susceptibility in Vlasov Plasma journal, August 1977

Spin Contribution to the Ponderomotive Force in a Plasma journal, September 2010

Ponderomotive force due to the intrinsic spin in extended fluid and kinetic models journal, March 2011

Mutual Refraction of Electrons and Photons journal, October 1966

Refraction of Electron Beams by Intense Electromagnetic Waves journal, June 1966

The Lagrangian formulation of strong-field quantum electrodynamics in a plasma journal, May 2014

Positive and negative effective mass of classical particles in oscillatory and static fields journal, March 2008

Ponderomotive acceleration of hot electrons in tenuous plasmas journal, September 2009

The Quantum Theory of the Electron journal, February 1928

Ray Tracing and Beyond book, January 2014

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field journal, May 1959

Geometric integrators for ODEs journal, April 2006

Geometric view on noneikonal waves journal, April 2014

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically journal, November 2012

Lagrangian geometrical optics of nonadiabatic vector waves and spin particles journal, October 2015

On the correspondence between quantum and classical variational principles journal, October 2015

A general approach to linear and non-linear dispersive waves using a Lagrangian journal, June 1965

The Dirac Equation book, August 1992

Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser journal, April 1997

Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum journal, September 1998

Kinetic modeling of intense, short laser pulses propagating in tenuous plasmas journal, January 1997

Drift Lagrangian for a relativistic particle in an intense laser field journal, August 2003

First-principles variational formulation of polarization effects in geometrical optics journal, October 2015

Group Velocity and Nonlinear Dispersive Wave Propagation journal, March 1973

Electron cavitation and acceleration in the wake of an ultraintense, self-focused laser pulse journal, March 1996

Comment on “Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser” journal, February 1998

�ber eine Klasse von L�sungen der Diracschen Gleichung journal, March 1935

Wavefunctions of a free electron in an external field and their application in intense field interactions. II. Relativistic treatment journal, August 1980

Analytical solutions of the Dirac and the Klein-Gordon equations in plasma induced by high-intensity laser journal, August 2013

Extending geometrical optics: A Lagrangian theory for vector waves journal, May 2017

Uphill acceleration in a spatially modulated electrostatic field particle accelerator journal, November 2018

Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory journal, July 2019

Quantum Plasma Effects in the Classical Regime
journal, April 2008

The Vector Representation of Spinning Particle in the Quantum Theory, I
journal, October 1955

Relativistic Hydrodynamics of the Dirac Matter: Part I. General Theory
journal, January 1957

Dynamics of Spin- $\frac{1}{2}$ Quantum Plasmas
journal, January 2007

Effects of the $g$ Factor in Semiclassical Kinetic Plasma Theory
journal, December 2008

Spin and magnetization effects in plasmas
journal, May 2011

Linear and nonlinear wave propagation in weakly relativistic quantum plasmas
journal, January 2013

Lagrangian approach to the semirelativistic electron dynamics in the mean-field approximation
journal, September 2013

Quantum-relativistic hydrodynamic model for a spin-polarized electron gas interacting with light
journal, July 2014

Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: Spin-electron acoustic wave appearance
journal, March 2015

Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons
journal, October 2015

Charged Particles in a Non-uniform Radio-frequency Field
journal, November 1957

Ponderomotive Force and Linear Susceptibility in Vlasov Plasma
journal, August 1977

Spin Contribution to the Ponderomotive Force in a Plasma
journal, September 2010

Ponderomotive force due to the intrinsic spin in extended fluid and kinetic models
journal, March 2011

Mutual Refraction of Electrons and Photons
journal, October 1966

Refraction of Electron Beams by Intense Electromagnetic Waves
journal, June 1966

The Lagrangian formulation of strong-field quantum electrodynamics in a plasma
journal, May 2014

Positive and negative effective mass of classical particles in oscillatory and static fields
journal, March 2008

Ponderomotive acceleration of hot electrons in tenuous plasmas
journal, September 2009

The Quantum Theory of the Electron
journal, February 1928

Ray Tracing and Beyond
book, January 2014

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
journal, May 1959

Geometric integrators for ODEs
journal, April 2006

Geometric view on noneikonal waves
journal, April 2014

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically
journal, November 2012

Lagrangian geometrical optics of nonadiabatic vector waves and spin particles
journal, October 2015

On the correspondence between quantum and classical variational principles
journal, October 2015

A general approach to linear and non-linear dispersive waves using a Lagrangian
journal, June 1965

The Dirac Equation
book, August 1992

Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser
journal, April 1997

Theory and simulation of the interaction of ultraintense laser pulses with electrons in vacuum
journal, September 1998

Kinetic modeling of intense, short laser pulses propagating in tenuous plasmas
journal, January 1997

Drift Lagrangian for a relativistic particle in an intense laser field
journal, August 2003

First-principles variational formulation of polarization effects in geometrical optics
journal, October 2015

Group Velocity and Nonlinear Dispersive Wave Propagation
journal, March 1973

Electron cavitation and acceleration in the wake of an ultraintense, self-focused laser pulse
journal, March 1996

Comment on “Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser”
journal, February 1998

�ber eine Klasse von L�sungen der Diracschen Gleichung
journal, March 1935

Wavefunctions of a free electron in an external field and their application in intense field interactions. II. Relativistic treatment
journal, August 1980

Analytical solutions of the Dirac and the Klein-Gordon equations in plasma induced by high-intensity laser
journal, August 2013

Extending geometrical optics: A Lagrangian theory for vector waves
journal, May 2017

Uphill acceleration in a spatially modulated electrostatic field particle accelerator
journal, November 2018

Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory
journal, July 2019