Abstract
The example of a Riemannian space with four-dimensional group of motions in which generally the Dirac equation admits no separation of variables, whereas the Klein–Fock equation admits this procedure, is considered. An exact solution of the Dirac equation is found by the method of noncommutative integration. An exact solution of the Klein–Fock equation is constructed by the methods of separation of variables and noncommutative integration.
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Klishevich, V.V. Integration of the Dirac Equation in Riemannian Space with Group of Motions. I. Russian Physics Journal 43, 1038–1043 (2000). https://doi.org/10.1023/A:1011316016415
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DOI: https://doi.org/10.1023/A:1011316016415