Lie theory and separation of variables. 8. Semisubgroup coordinates for ψtt2ψ=0

E. G. Kalnins, Willard Miller

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Abstract

We classify and study all coordinate systems which permit R-separation of variables for the wave equation in three space-time variables and such that at least one of the variables corresponds to a one-parameter symmetry group of the wave equation. We discuss 33 such systems and relate them to orbits of commuting operators in the enveloping algebra of the conformal group SO(3,2).

Original languageEnglish (US)
Pages (from-to)2507-2516
Number of pages10
JournalJournal of Mathematical Physics
Volume16
Issue number12
StatePublished - Dec 1 1974

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