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math-ph2023★ 13 cited
Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions
V. V. Obukhov
Metric components of potentials of admissible electromagnetic fields in spaces with simply transitive four-parameter motion group are found. The components of frame vectors corresp…
math-ph2022★ 23 cited
Algebras of integrals of motion for the Hamilton-Jacobi and Klein-Gordon-Fock equations in spacetime with a four-parameter groups of motions in the presence of an external electromagnetic field
V. V. Obukhov
The algebras of the integrals of motion of the Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle moving in an external electromagnetic field in a spacetim…
math-ph2017★ 28 cited
Pure radiation in space-time models that admit integration of the eikonal equation by the separation of variables method
Evgeny Osetrin, Konstantin Osetrin
We consider space-time models with pure radiation, which admit integration of the eikonal equation by the method of separation of variables. For all types of these models, the equa…