Related papers: General quantum-mechanical solution for twisted electrons in a uniform magnetic field

General quantum-mechanical solution for twisted electrons in a uniform magnetic field

URL: http://arxiv.org/abs/2005.06408v2
Date: Thu, 10 Dec 2020 13:58:32 GMT
Title: General quantum-mechanical solution for twisted electrons in a uniform magnetic field
Authors: Liping Zou, Pengming Zhang, Alexander J. Silenko
Abstract summary: A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. 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.
Score: 68.8204255655161
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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