Algebras of Symmetry Operators of the Klein–Gordon–Fock Equation for Groups Acting Transitively on Two-Dimensional Subspaces of a Space-Time Manifold

Obukhov V.V. Myrzakulov K.R. Guselnikova U.A. Zhadyranova A.
November 2021 Springer

Russian Physics Journal
2021 #64 Issue 7 1320 - 1327 pp.

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.

group of motions of a space-time manifold , Klein–Gordon–Fock equation , symmetry operators

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Tomsk State Pedagogical University, Tomsk, Russian Federation
Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russian Federation
L. N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics, Nur-Sultan, Kazakhstan

Tomsk State Pedagogical University
Tomsk State University of Control Systems and Radioelectronics
L. N. Gumilyov Eurasian National University
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics

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