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: http://hdl.handle.net/10289/1239
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.
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