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Lie theory and separation of variables. 8. Semisubgroup coordinates for Psitt − Delta2Psi = 0

J. Math. Phys. 16, 2507 (1975); doi:10.1063/1.522492

Issue Date: December 1975

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E. G. Kalnins
Centre de Recherches Mathématiques, Université de Montréal, Montréal 101, P.Q,, Canada

Willard Miller, Jr.
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
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). Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
Permalink: http://link.aip.org/link/?JMAPAQ/16/2507/1
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PACS

  • 02.20.Sv
    Mathematical methods in physics Group theory Lie algebras of Lie groups
  • 02.30.Jr
    Mathematical methods in physics Function theory, analysis Partial differential equations
  • YEAR: 1975

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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REFERENCES (22)
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