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arXiv · 2005.06408

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

Liping Zou·Pengming Zhang·Alexander J. Silenko
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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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Liping Zou, Pengming Zhang, Alexander J. Silenko. 2020-05-13. General quantum-mechanical solution for twisted electrons in a uniform magnetic field. https://doi.org/10.1103/physreva.103.l010201

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