Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψtt - ∆2Ψ = 0
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Copyright 1975 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jsp
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).
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Kalnins, E.G. & Miller, W., Jr. (1975). Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψtt - ∆2Ψ =0. Journal of Mathematical Physics, 16, 2507.