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

Kalnins, Ernie G.; Miller, W., Jr.

doi:10.1063/1.522901

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Kalnins, E.G. & Miller, W., Jr. (1976). Lie theory and separation of variables. 10. Nonorthogonal R-separable solutions of the wave equation ∂ttψ=∆2ψ. Journal of Mathematical Physics, 17, 356.

Permanent Research Commons link: https://hdl.handle.net/10289/1239

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 second order. Several systems appear here for the first time.

Date

1976-03

Type

Journal Article

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Copyright 1976 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

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