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

DOI10.1063/5.0080703OpenAlexW4211229636WikidataQ114103469 ScholiaQ114103469MaRDI QIDQ5056885

Valery V. Obukhov

Publication date: 8 December 2022

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15138

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of differential geometry to physics (53Z05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Hamilton-Jacobi equations in mechanics (70H20) Hamilton-Jacobi equations (35F21)

Related Items (2)

Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions ⋮ Deviation of geodesics and particle trajectories in a gravitational wave of the Bianchi type VI universe

Cites Work

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• Separation of variables in Hamilton–Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)
• Separation of variables in Hamilton–Jacobi and Klein–Gordon–Fock equations for a charged test particle in the stackel spaces of type (1.1)

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