Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψt t − Δ2Ψ = 0
- 1 December 1975
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (12) , 2507-2516
- https://doi.org/10.1063/1.522492
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)Keywords
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