Lie theory and the wave equation in space–time. 3. Semisubgroup coordinates | Zendy

E. G. Kalnins | Zendy; Willard Miller | Zendy

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

Author(s) -

E. G. Kalnins,

Willard Miller

Publication year - 1977

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.523246

Subject(s) - separation of variables , wave equation , mathematics , lie group , group (periodic table) , symmetry group , space (punctuation) , mathematical analysis , conformal map , symmetry (geometry) , lie algebra , mathematical physics , algebra over a field , pure mathematics , physics , partial differential equation , quantum mechanics , geometry , computer science , operating system

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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