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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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  1. W. Miller, Jr., SIAM J. Math. Anal. 5, 626 (1974).
  2. W. Miller, Jr., SIAM J. Math. Anal. 5, 822 (1974).
  3. E. G. Kalnins and W. Miller, Jr., J. Math. Phys. 15, 1025 (1974).
  4. E. G. Kalnins and W. Miller, Jr., J. Math. Phys. 15, 1263 (1974).
  5. E. G. Kalnins and W. Miller, Jr., J. Math. Phys. 15, 1728 (1974).
  6. C. Boyer, E. G. Kalnins, and W. Miller, Jr., J. Math. Phys. 16, 499 (1975).
  7. C. Boyer, E. G. Kalnins, and W. Miller Jr., J. Math. Phys. 16, 512 (1975).
  8. M. Bôcher, Die Reihenentwickelungen der Potentialtheorie (Leipzig, 1894).
  9. J. Patera and P. Winternitz, J. Math. Phys. 14, 1130 (1973).
  10. E. G. Kalnins, SIAM J. Math. Anal. 6, 340 (1975).
  11. A. Erdélyi et al., Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vols. I and II.
  12. H. A. Kastrup, Phys. Rev. 140, B183 (1965);
    13. G. Mack and I. T. Todorov, J. Math. Phys. 10, 2078 (1969);
    L. Gross, J. Math. Phys. 5, 687 (1964).
  13. W. Miller, Jr., Symmetry Groups and Their Applications (Academic, New York, 1972).
  14. S. Schweber, An Introduction to Relativistic Quantum Field Theory (Row, Peterson, Evanston, Ill. 1961), Chap. 3.
  15. P. A. M. Dirac, Proc. Camb. Phil. Soc. 30, 100 (1934).
  16. A. S. Davydov, Quantum Mechanics (Addison-Wesley, Reading, Mass., 1965), p. 51.
  17. V. Bargmann, Comm. Pure Appl. Math. 14, 187 (1961).
  18. P. Winternitz and I. Fris, Yad. Fiz. 1, 889 (1965)
    19. [Sov. J. Nucl. Phys. 1, 636 (1965)].
  19. P. Sally, Analytic Continuation of the Irreducible Unitary Representations of the Universal Covering Group of SL(2,R), AMS Mem., No. 69 (Am. Math. Soc. Providence, R.I., 1967).
  20. W. Montgomery and L. O'Raifeartaigh, J. Math. Phys. 15, 380 (1974).
  21. I. M. Gel'fand, M. I. Graev, and N. Ya. Vilenkin, Generalized Functions, Vol. 5 (Academic, New York, 1966).
  22. H. Zassenhaus, Can. Math. Bull. 1, 31, 101, 183 (1958).

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