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).
|Original language||English (US)|
|Number of pages||10|
|Journal||Journal of Mathematical Physics|
|State||Published - Dec 1 1974|