### 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).

Original language | English (US) |
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Pages (from-to) | 2507-2516 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 16 |

Issue number | 12 |

State | Published - Dec 1 1974 |

## Fingerprint Dive into the research topics of 'Lie theory and separation of variables. 8. Semisubgroup coordinates for ψ<sub>tt</sub>-Δ<sub>2</sub>ψ=0'. Together they form a unique fingerprint.

## Cite this

Kalnins, E. G., & Miller, W. (1974). Lie theory and separation of variables. 8. Semisubgroup coordinates for ψ

_{tt}-Δ_{2}ψ=0.*Journal of Mathematical Physics*,*16*(12), 2507-2516.