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

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.

preprint2020arXivOpen access
Liping ZouPengming ZhangAlexander J. Silenko
hep-thquant-ph
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Liping ZouPengming ZhangAlexander J. Silenko

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