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Soviet Physics Journal

, Volume 17, Issue 6, pp 812–815 | Cite as

Separation of variables in the Klein-gordon equations. III

  • V. G. Bagrov
  • A. G. Meshkov
  • V. N. Shapovalov
  • A. V. Shapovalov
Article
  • 14 Downloads

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.

Keywords

Electromagnetic Field Arbitrary Function Complete Separation Separate Variable Symmetry Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Izv. VUZ, Fizika, No. 11, 66 (1973).Google Scholar
  2. 2.
    V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Izv. VUZ, Fizika, No. 12, 45 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • V. G. Bagrov
    • 1
  • A. G. Meshkov
    • 1
  • V. N. Shapovalov
    • 1
  • A. V. Shapovalov
    • 1
  1. 1.Tomsk Polytechnic Institute and V. V. Kuibyshev Tomsk State UniversityUSSR

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