Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψtt2ψ = O

E. G. Kalnins, W. Miller

Research output: Contribution to journalArticle

32 Scopus citations

Abstract

A list of orthogonal coordinate systems which permit R-separation of the wave equation ψtt2ψ = O is presented. All such coordinate systems whose coordinate curves are cyclides or their degenerate forms are given. In each case the coordinates and separation equations are computed. The two basis operators associated with each coordinate system are also presented as symmetric second order operators in the enveloping algebra of the conformal group O(3,2).

Original languageEnglish (US)
Pages (from-to)331-355
Number of pages25
JournalJournal of Mathematical Physics
Volume17
Issue number3
DOIs
StatePublished - 1975

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