Email this article Noncommutative Integrability of the Klein–Gordon and Dirac Equations in (2+1)-Dimensional Spacetime
- Authors: Breev A.I.1,2, Shapovalov A.V.1,2
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Affiliations:
- National Research Tomsk State University
- National Research Tomsk Polytechnic University
- Issue: Vol 59, No 11 (2017)
- Pages: 1956-1961
- Section: Article
- URL: https://journal-vniispk.ru/1064-8887/article/view/237645
- DOI: https://doi.org/10.1007/s11182-017-1001-2
- ID: 237645
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Abstract
Noncommutative integration of the Klein–Gordon and Dirac relativistic wave equations in (2+1)-dimensional Minkowski space is considered. It is shown that for all non-Abelian subalgebras of the (2+1)-dimensional Poincaré algebra the condition of noncommutative integrability is satisfied.
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. V. Shapovalov
National Research Tomsk State University; National Research Tomsk Polytechnic University
Email: breev@mail.tsu.ru
Russian Federation, Tomsk; Tomsk
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