skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 thin-layer quantization procedure is implemented to bring the particle onto {sigma}, leading to the well-known 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 ground-state energies as a function of the applied field in several orientations are presented for a toroidal model.

Authors:
 [1]
  1. 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 thin-layer quantization procedure is implemented to bring the particle onto {sigma}, leading to the well-known 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 ground-state 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}
}