Abstract
All complete sets of symmetry operators of the wave equation in Minkowski space containing one isotropic first-order operator of the form δ/δx0+δ/δx3 and two second-order operators are obtained. Privileged coordinates corresponding to these sets are given. The variables are separated in the wave equation and in the free Schrödinger equation in three-dimensional spacetime.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 44–48, February, 1991.
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Bagrov, V.G., Samsonov, B.F. & Shapovalov, A.V. Separation of variables in the wave equation. Sets of the type (1.1) and Schrödinger equation. Soviet Physics Journal 34, 122–126 (1991). https://doi.org/10.1007/BF00940949
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DOI: https://doi.org/10.1007/BF00940949