Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature

DOI10.3842/SIGMA.2016.117zbMath1357.53039arXiv1607.00712MaRDI QIDQ505956

Carlos Valero, Krishan Rajaratnam, Raymond G. Mclenaghan

Publication date: 27 January 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00712

zbMATH Keywords

Hamilton-Jacobi equationSchrödinger equationseparation of variablescompletely integrable systemswarped productKilling tensorStäckel systemsspaces of constant curvatureconcircular tensorspecial conformal Killing tensor

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (7)

Classification of the orthogonal separable webs for the Hamilton-Jacobi and Klein-Gordon equations on 3-dimensional Minkowski space ⋮ Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space ⋮ 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 ⋮ Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces ⋮ Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature ⋮ Discrete relativistic positioning systems ⋮ Complete separability of the Hamilton–Jacobi equation for the charged particle orbits in a Liénard–Wiechert field

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