R-separation of variables for the time-dependent Hamilton-Jacobi and Schrödinger equations

E. G. Kalnins, Willard Miller

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)1005-1015
Number of pages11
JournalJournal of Mathematical Physics
Volume28
Issue number5
DOIs
StatePublished - 1987

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