Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces

DOI10.1063/1.5043066zbMath1415.53057arXiv1811.04536OpenAlexW3104638489WikidataQ128265886 ScholiaQ128265886MaRDI QIDQ5379364

Carlos Valero, Raymond G. Mclenaghan

Publication date: 28 May 2019

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

Full work available at URL: https://arxiv.org/abs/1811.04536

zbMATH Keywords

separation of variablesconstant non-zero curvatureorthogonal separable webs

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Elliptic equations on manifolds, general theory (58J05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Hamilton-Jacobi equations in mechanics (70H20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Hyperbolic equations on manifolds (58J45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Classification of the orthogonal separable webs for the Hamilton-Jacobi and Klein-Gordon equations on 3-dimensional Minkowski space

Cites Work

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• Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions
• Equivalence problem for the orthogonal webs on the 3-sphere
• Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation
• A geometrical approach to the problem of integrability of Hamiltonian systems by separation of variables

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