Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψt t−Δ2ψ=0
- 1 March 1976
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (3) , 331-355
- https://doi.org/10.1063/1.522900
Abstract
A list of orthogonal coordinate systems which permit R‐separation of the wave equation ψtt−Δ2ψ=0 is presented. All such coordinate systems whose coordinate curves are cyclides or their degenerate forms are given. In each case the coordinates and separation equations are computed. The two basis operators associated with each coordinate system are also presented as symmetric second order operators in the enveloping algebra of the conformal group O(3,2).Keywords
This publication has 3 references indexed in Scilit:
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- Crossing Symmetric Expansions of Physical Scattering Amplitudes; The O(2, 1) Group and Lamé FunctionsJournal of Mathematical Physics, 1971
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