General quantum-mechanical solution for twisted electrons in a uniform magnetic field
Abstract
A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The obtained general quantum-mechanical solution of the relativistic paraxial equation contains the commonly accepted result as a specific case of unstructured electron waves. In the weak-field limit, our solution (unlike the existing theory) is consistent with the well-known equation for free twisted electron beams. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted. Distinguishing features of the quantization of the velocity and the effective mass of structured electrons in the uniform magnetic field are analyzed.
Cite
@article{arxiv.2005.06408,
title = {General quantum-mechanical solution for twisted electrons in a uniform magnetic field},
author = {Liping Zou and Pengming Zhang and Alexander J. Silenko},
journal= {arXiv preprint arXiv:2005.06408},
year = {2021}
}
Comments
15 pages, 2 figures