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

• URL: http://arxiv.org/abs/2003.04717v1
• Date: Sun, 8 Mar 2020 13:14:44 GMT
• Title: Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
• Authors: Liping Zou, Pengming Zhang, Alexander J. Silenko
• Abstract summary: A connection between quantum mechanics and 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.
• Score: 68.8204255655161
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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