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Separation of variables in the Klein-gordon equations. III

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Abstract

This paper supplements [1] and [2]. All kinds of external electromagnetic fields are found which contain arbitrary functions admitting complete separation of variables in the Klein-Gordon equations by using one first and two second order differential symmetry operators. The curvilinear coordinates in which the variables separate are presented, and equations in the separated variables are written down.

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Literature cited

  1. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Izv. VUZ, Fizika, No. 11, 66 (1973).

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  2. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Izv. VUZ, Fizika, No. 12, 45 (1973).

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Authors and Affiliations

  1. Tomsk Polytechnic Institute and V. V. Kuibyshev Tomsk State University, USSR

    V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov & A. V. Shapovalov

Authors
  1. V. G. Bagrov
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  2. A. G. Meshkov
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  3. V. N. Shapovalov
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  4. A. V. Shapovalov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 74–78, June, 1974.

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Bagrov, V.G., Meshkov, A.G., Shapovalov, V.N. et al. Separation of variables in the Klein-gordon equations. III. Soviet Physics Journal 17, 812–815 (1974). https://doi.org/10.1007/BF00890216

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  • DOI: https://doi.org/10.1007/BF00890216

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