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arXiv · 2003.04717

Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field

Liping Zou·Pengming Zhang·Alexander J. Silenko
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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.

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Liping Zou, Pengming Zhang, Alexander J. Silenko. 2020-03-08. Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field. https://doi.org/10.1088/1361-6471%2Fab7a88

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