Separable coordinate systems for the Hamilton-Jacobi, Klein-Gordon and wave equations in curved spaces

DOI10.1088/0305-4470/9/4/008zbMath0317.53031OpenAlexW2023262668MaRDI QIDQ4078739

Werner Dietz

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1088/0305-4470/9/4/008

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) PDEs in connection with quantum mechanics (35Q40) Hamilton-Jacobi equations in mechanics (70H20)

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Killing tensors in two-dimensional space-times with applications to cosmology ⋮ Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet ⋮ Separable geodesic action slicing in stationary spacetimes ⋮ Relativistic fluids and metric symmetries ⋮ Symmetry and separation of variables for the Hamilton–Jacobi equation W2t−W2x −W2y =0 ⋮ Forms of all spacetime metrics which admit [(11) (11) Killing tensors with nonconstant eigenvalues] ⋮ Separable coordinates for four-dimensional Riemannian spaces

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