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Integration of the dirac equation, which does not presume complete separation of variables, in Stäckel spaces

  • Physics Of Elementary Particles And Field Theory
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Russian Physics Journal Aims and scope

Abstract

The method of noncommutative integration of linear differential equations is used to construct an exact solution of the Dirac equation, which does not presume complete separation of variables, in Stäckel spaces. The Dirac equation in an external electromagnetic field is integrated by this method, using one example. The Stäckel space under consideration does not enable one to solve this equation exactly within the framework of the theory of separation of variables.

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Authors and Affiliations

  1. Omsk State University, USSR

    O. L. Varaksin & I. V. Shirokov

Authors
  1. O. L. Varaksin
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  2. I. V. Shirokov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 31–37, January, 1996.

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Varaksin, O.L., Shirokov, I.V. Integration of the dirac equation, which does not presume complete separation of variables, in Stäckel spaces. Russ Phys J 39, 27–32 (1996). https://doi.org/10.1007/BF02069236

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  • DOI: https://doi.org/10.1007/BF02069236

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