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Integration of Dirac equation in Riemannian spaces with five-dimensional group of motions

  • Physics of Elementary Particles and Field Theory
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Abstract

In the present article a classification of Riemannian spaces with five-dimensional group of motion is described from the point of view of a solution of the Dirac equation. A class of spaces is identified in which the Dirac equation does not admit a complete separation of variables, and exact solutions of the Dirac equation are obtained in these spaces by means of the method of noncommutative integration.

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Authors
  1. O. L. Varaksin
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  2. V. V. Klishevich
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Additional information

Omsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 24–28, August, 1997.

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Varaksin, O.L., Klishevich, V.V. Integration of Dirac equation in Riemannian spaces with five-dimensional group of motions. Russ Phys J 40, 727–731 (1997). https://doi.org/10.1007/BF02508799

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  • DOI: https://doi.org/10.1007/BF02508799

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