Coupling curvature to a uniform magnetic field: An analytic and numerical study
Abstract
The Schroedinger equation for a spinless electron near an azimuthally symmetric curved surface {sigma} in the presence of an arbitrary uniform magnetic field B is developed. A thinlayer quantization procedure is implemented to bring the particle onto {sigma}, leading to the wellknown geometric potential V{sub C}{proportional_to}h{sup 2}k and a second potential that couples A{sub N}, the component of A normal to {sigma} to mean surface curvature, as well as a term dependent on the normal derivative of A{sub N} evaluated on {sigma}. Numerical results in the form of groundstate energies as a function of the applied field in several orientations are presented for a toroidal model.
 Authors:
 Florida A and M University, Department of Physics, Tallahassee, Florida 32307 (United States)
 Publication Date:
 OSTI Identifier:
 20786634
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.012102; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING; ELECTRONS; GROUND STATES; MAGNETIC FIELDS; NUMERICAL ANALYSIS; ORIENTATION; POTENTIALS; QUANTIZATION; SCHROEDINGER EQUATION; SURFACES; THIN FILMS
Citation Formats
Encinosa, M. Coupling curvature to a uniform magnetic field: An analytic and numerical study. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.0.
Encinosa, M. Coupling curvature to a uniform magnetic field: An analytic and numerical study. United States. doi:10.1103/PHYSREVA.73.0.
Encinosa, M. Sun .
"Coupling curvature to a uniform magnetic field: An analytic and numerical study". United States.
doi:10.1103/PHYSREVA.73.0.
@article{osti_20786634,
title = {Coupling curvature to a uniform magnetic field: An analytic and numerical study},
author = {Encinosa, M.},
abstractNote = {The Schroedinger equation for a spinless electron near an azimuthally symmetric curved surface {sigma} in the presence of an arbitrary uniform magnetic field B is developed. A thinlayer quantization procedure is implemented to bring the particle onto {sigma}, leading to the wellknown geometric potential V{sub C}{proportional_to}h{sup 2}k and a second potential that couples A{sub N}, the component of A normal to {sigma} to mean surface curvature, as well as a term dependent on the normal derivative of A{sub N} evaluated on {sigma}. Numerical results in the form of groundstate energies as a function of the applied field in several orientations are presented for a toroidal model.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
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