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Noncommutative Integrability of the Klein–Gordon and Dirac Equations in (2+1)-Dimensional Spacetime

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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.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    A. I. Breev & A. V. Shapovalov

  2. National Research Tomsk Polytechnic University, Tomsk, Russia

    A. I. Breev & A. V. Shapovalov

Authors
  1. A. I. Breev
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  2. A. V. Shapovalov
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Correspondence to A. I. Breev.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 193–196, November, 2016.

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Breev, A.I., Shapovalov, A.V. Noncommutative Integrability of the Klein–Gordon and Dirac Equations in (2+1)-Dimensional Spacetime. Russ Phys J 59, 1956–1961 (2017). https://doi.org/10.1007/s11182-017-1001-2

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  • DOI: https://doi.org/10.1007/s11182-017-1001-2

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