The general theory of R-separation for Helmholtz equations

E. G. Kalnins, W. Miller

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We develop the theory of R-separation for the Helmholtz equation on a pseudo-Riemannian manifold (including the possibility of null coordinates) and show that it, and not ordinary variable separation, is the natural analogy of additive separation for the Hamilton-Jacobi equation. We provide a coordinate-free characterization of variable separation in terms of commuting symmetry operators.

Original languageEnglish (US)
Pages (from-to)1047-1053
Number of pages7
JournalJournal of Mathematical Physics
Issue number5
StatePublished - 1982
Externally publishedYes


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