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Noncommutative integration of the Dirac equation in Riemann spaces possessing a group of automorphisms

  • Elementary Particle Physics and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

Applying the method of noncommutative integration for linear differential equations, we build exact solutions for the Dirac equation in 4-dimensional Riemann spaces, which have a 5-parameter group of automorphisms and where the Klein-Gordon and the Dirac equations are nonintegrable using the technique of complete separation of variables.

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Literature cited

  1. A. V. Shapovalov and I. V. Shirokov, Izv. Vyssh. Uchebn. Zaved., Fiz., No, 4, 95 (1991).

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  2. A. V. Shapovalov and I. V. Shirokov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 33 (1991).

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  3. A. Z. Petrov, Einsteinian Spaces [in Russian], Nauka, Moscow (1967).

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Authors and Affiliations

  1. V. V. Kuibyshev Tomsk State University, USSR

    V. G. Fedoseev, A. V. Shapovalov & I. V. Shirokov

  2. Omsk State University, USSR

    V. G. Fedoseev, A. V. Shapovalov & I. V. Shirokov

Authors
  1. V. G. Fedoseev
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  2. A. V. Shapovalov
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  3. I. V. Shirokov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 43–46, September, 1991.

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Fedoseev, V.G., Shapovalov, A.V. & Shirokov, I.V. Noncommutative integration of the Dirac equation in Riemann spaces possessing a group of automorphisms. Soviet Physics Journal 34, 777–781 (1991). https://doi.org/10.1007/BF00896710

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  • DOI: https://doi.org/10.1007/BF00896710

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