Kalnins, E.G. & Miller, W., Jr. (1987). R-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equations. Journal of Mathematical Physics, 28, 1005.
Permanent Research Commons link: https://hdl.handle.net/10289/1217
The theory of R-separation of variables is developed for the time-dependent Hamilton–Jacobi and Schrödinger equations on a Riemannian manifold V n where time-dependent vector and scalar potentials are permitted. As an application it is shown how to obtain all R-separable coordinates for the n-sphere and Euclidean n-space.
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