Lie theory and the wave equation in space-time. 3. Semisubgroup coordinates

E. G. Kalnins; W. Miller

doi:10.1063/1.523246

Lie theory and the wave equation in space-time. 3. Semisubgroup coordinates

E. G. Kalnins, W. Miller

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We classify and study those coordinate systems which permit R separation of variables for the wave equation in four-dimensional space-time and such that at least one of the variables corresponds to a one-parameter symmetry group of the wave equation. We discuss over 100 such systems and relate them to orbits of triplets of commuting operators in the enveloping algebra of the conformal group SO(4,2).

Original language	English (US)
Pages (from-to)	271-280
Number of pages	10
Journal	Journal of Mathematical Physics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1063/1.523246
State	Published - 1976
Externally published	Yes

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10.1063/1.523246

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abstract = "We classify and study those coordinate systems which permit R separation of variables for the wave equation in four-dimensional space-time and such that at least one of the variables corresponds to a one-parameter symmetry group of the wave equation. We discuss over 100 such systems and relate them to orbits of triplets of commuting operators in the enveloping algebra of the conformal group SO(4,2).",

author = "Kalnins, {E. G.} and W. Miller",

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AB - We classify and study those coordinate systems which permit R separation of variables for the wave equation in four-dimensional space-time and such that at least one of the variables corresponds to a one-parameter symmetry group of the wave equation. We discuss over 100 such systems and relate them to orbits of triplets of commuting operators in the enveloping algebra of the conformal group SO(4,2).

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Lie theory and the wave equation in space-time. 3. Semisubgroup coordinates

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