Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
Quantum Physics
2020-03-11 v1 High Energy Physics - Theory
Abstract
A connection between relativistic quantum mechanics in the Foldy-Wouthuysen representation and the paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined. The obtained wave function contains the Gouy phase and significantly approaches to the paraxial wave function for a free electron.
Keywords
Cite
@article{arxiv.2003.04717,
title = {Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field},
author = {Liping Zou and Pengming Zhang and Alexander J. Silenko},
journal= {arXiv preprint arXiv:2003.04717},
year = {2020}
}
Comments
11 pages, no figures