Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry
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Publication:3565275
DOI10.1063/1.3094719zbMath1187.37095OpenAlexW2079858663MaRDI QIDQ3565275
Joshua T. Horwood, Roman G. Smirnov, Raymond G. Mclenaghan
Publication date: 3 June 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3094719
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton-Jacobi equations in mechanics (70H20) Applications of local differential geometry to the sciences (53B50) Hamilton-Jacobi equations (35F21)
Related Items (10)
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 ⋮ Integrable quintic polynomial potential and its generalizations ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space ⋮ Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature ⋮ Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems ⋮ Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation ⋮ On the theory of algebraic invariants of vector spaces of Killing tensors ⋮ Equivalence problem for the orthogonal webs on the 3-sphere
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