General quantum-mechanical solution for twisted electrons in a uniform magnetic field
Liping Zou,
Pengming Zhang,
Alexander J. Silenko
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 oppo… Show more
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