Complete separation of variables in the free Hamilton-Jacobi equation

DOI10.1007/BF01016874zbMath0798.53069MaRDI QIDQ1330742

Vladislav G. Bagrov, Valery V. Obukhov

Publication date: 14 August 1994

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

separation of variablesHamiltonian-Jacobi equationStäckel spaces

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (5)

Constructing a complete integral of the Hamilton-Jacobi equation on pseudo-Riemannian spaces with simply transitive groups of motions ⋮ Algebras of symmetry operators of the Klein-Gordon-Fock equation for groups acting transitively on two-dimensional subspaces of a space-time manifold ⋮ 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 ⋮ Separation of variables in the Hamilton-Jacobi equation for geodesics in two and three dimensions ⋮ Separation of variables in Hamilton–Jacobi and Klein–Gordon–Fock equations for a charged test particle in the stackel spaces of type (1.1)

Cites Work

• Separation of the Variables in the One-Particle Schroedinger Equation in 3-Space
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