Separation of variables in Hamilton–Jacobi and Klein–Gordon–Fock equations for a charged test particle in the stackel spaces of type (1.1)

DOI10.1142/S0219887821500365arXiv2012.02548MaRDI QIDQ6204362

Valery V. Obukhov

Publication date: 27 March 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.02548

zbMATH Keywords

Hamilton-Jacobi equationseparation of variablesintegrals of motionKlein-Gordon-Fock equationkillings tensors

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (2)

Algebras of integrals of motion for the Hamilton–Jacobi and Klein–Gordon–Fock equations in spacetime with four-parameter groups of motions in the presence of an external electromagnetic field ⋮ Deviation of geodesics and particle trajectories in a gravitational wave of the Bianchi type VI universe

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