Lie theory and separation of variables. 10. Nonorthogonal R-separable solutions of the wave equation ∂ttψ = Δ 2ψ

E. G. Kalnins, W. Miller

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We classify and discuss the possible nonorthogonal coordinate systems which lead to R-separable solutions of the wave equation. Each system is associated with a pair of commuting operators in the symmetry algebra so (3,2) of this equation, one operator first order and the other first or second order. Several systems appear here for the first time.

Original languageEnglish (US)
Pages (from-to)356-368
Number of pages13
JournalJournal of Mathematical Physics
Volume17
Issue number3
DOIs
StatePublished - Jan 1 1975

Fingerprint Dive into the research topics of 'Lie theory and separation of variables. 10. Nonorthogonal R-separable solutions of the wave equation ∂<sub>tt</sub>ψ = Δ <sub>2</sub>ψ'. Together they form a unique fingerprint.

Cite this