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.
|Original language||English (US)|
|Number of pages||11|
|Journal||Journal of Mathematical Physics|
|State||Published - 1987|