Abstract
All types of external electromagnetic fields containing arbitrary functions which admit of separation of variables in the Klein-Gordon equation by using three first-order differential symmetry operators, and stationary fields admitting separation of variables by using two first- and one second-order differential operators, are found. The curvilinear coordinates in which the variables are divided are presented and the equations are written down in the separated variables.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 66–72, November, 1973.
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Bagrov, V.G., Meshkov, A.G., Shapovalov, V.N. et al. Separation of variables in the Klein — Gordon equation. I. Soviet Physics Journal 16, 1533–1538 (1973). https://doi.org/10.1007/BF00889957
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DOI: https://doi.org/10.1007/BF00889957