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Separation of variables in the Klein-Gordon equations. II

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Two kinds of external nonstationary electromagnetic fields are found containing arbitrary functions which admit of total separation of variables in the Klein-Gordon equations by using two differential symmetry operators and one second order operator. Curvilinear coordinates are presented in which the variables are divided, and equations are written down in the separated variables.

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  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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Translated from Izvestiya VUZ, Fizika, No. 12, pp. 45–52, December, 1973.

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Bagrov, V.G., Meshkov, A.G., Shapovalov, V.N. et al. Separation of variables in the Klein-Gordon equations. II. Soviet Physics Journal 16, 1659–1665 (1973). https://doi.org/10.1007/BF00893656

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  • DOI: https://doi.org/10.1007/BF00893656

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