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Conformally flat stäckel spaces and the problem of separation of variables in the Laplace-Beltrami equation

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

A full proof of the statement that all orthogonal systems of coordinates admitting separation of variables in the Laplace-Beltrami equation are cyclidal coordinates is presented

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Authors
  1. V. G. Bagrov
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  2. B. F. Samsonov
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Additional information

Institute of High Current Electrotechniques, Siberian Branch, Russian Academy of Sciences, Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 97–103, October, 1992.

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Bagrov, V.G., Samsonov, B.F. Conformally flat stäckel spaces and the problem of separation of variables in the Laplace-Beltrami equation. Russ Phys J 35, 974–980 (1992). https://doi.org/10.1007/BF00559897

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  • DOI: https://doi.org/10.1007/BF00559897

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