Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field-Reference-Cited by-同舟云学术

Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field

Published:2018-04-02 Issue:05 Volume:15 Page:1850085
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Shapovalov A. V.¹²^ORCID,Breev A. I.¹

Affiliation:

1. Department of Theoretical Physics, Tomsk State University, Novosobornaya Sq. 1, 634050, Tomsk, Russia

2. Department of Higher Mathematics and Mathematical Physics, Tomsk Polytechnic University, Lenin Ave., 30, 634034, Tomsk, Russia

Abstract

We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a [Formula: see text]-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a [Formula: see text]-dimensional Minkowski (flat) space. For each of the sets, we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887818500858

Reference24 articles.

1. Separation of variables in the Dirac equation

2. Algebraic properties of the Dirac equation

3. Fermions in an Aharonov-Bohm field and cosmic strings

4. Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields

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