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arXiv 2003.047172020-03-08quant-phhep-th

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

Liping Zou, Pengming Zhang, Alexander J. Silenko

备注：: 11 pages, no figures
DOI：: 10.1088/1361-6471/ab7a88

英文摘要：

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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