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

J. Math. Phys. 18, 271 (1977); doi:10.1063/1.523246

Issue Date: February 1977

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E. G. Kalnins
Mathematics Department, University of Waikato, Hamilton, New Zealand

W. Miller, Jr.
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
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). Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
Permalink: http://link.aip.org/link/?JMAPAQ/18/271/1
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PACS

  • 02.20.Sv
    Mathematical methods in physics Group theory Lie algebras of Lie groups
  • 03.40.Kf
    Classical and quantum physics; mechanics and fields Classical mechanics of continuous media: general mathematical aspects Waves and wave propagation: general mathematical aspects
  • YEAR: 1977

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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REFERENCES (27)
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