Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra
- Authors: Breev A.I.1,2, Magazev A.A.3
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Affiliations:
- National Research Tomsk State University
- National Research Tomsk Polytechnic University
- Omsk State Technical University
- Issue: Vol 59, No 12 (2017)
- Pages: 2048-2058
- Section: Article
- URL: https://bakhtiniada.ru/1064-8887/article/view/237681
- DOI: https://doi.org/10.1007/s11182-017-1013-y
- ID: 237681
Cite item
Abstract
Noncommutative integration of the Dirac equation on Lie groups with a right-invariant metric and an invariant electromagnetic field tensor is considered. An electromagnetic field, admitting a noncommutative reduction of the Dirac equation, but not admitting either diagonalization of the squared Dirac equation or separation of variables, is found.
About the authors
A. I. Breev
National Research Tomsk State University; National Research Tomsk Polytechnic University
Author for correspondence.
Email: breev@mail.tsu.ru
Russian Federation, Tomsk; Tomsk
A. A. Magazev
Omsk State Technical University
Email: breev@mail.tsu.ru
Russian Federation, Omsk
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