All external electromagnetic fields are found in which the Klein–Gordon–Fock equation for a charged test particle admits first-order symmetry operators provided that the groups of motions G3, r ≤ 3, act transitively on the two-dimensional subspace V2.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 126–131, July, 2021.
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Obukhov, V.V., Myrzakulov, K.R., Guselnikova, U.A. et al. Algebras of Symmetry Operators of the Klein–Gordon–Fock Equation for Groups Acting Transitively on Two-Dimensional Subspaces of a Space-Time Manifold. Russ Phys J 64, 1320–1327 (2021). https://doi.org/10.1007/s11182-021-02457-5
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DOI: https://doi.org/10.1007/s11182-021-02457-5