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Wave Equations with Compact and Noncompact Spectrum

I. Gyuk and H. Umezawa

  • Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201

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Phys. Rev. D 3, 898 – Published 15 February, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.898

Abstract

We present a unified approach to compact and noncompact wave equations based on the algebra of O(6,C). The Bhabha and Nambu equations emerge as the simplest possibility for describing multiplets of relativistic particles. Dynamical quantities such as mass, spin, and magnetic moment are evaluated in terms of the spectra of relevant operators.

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References (15)

  1. H. Bhabha, Rev. Mod. Phys. 17, 200 (1945) ibid.21, 451 (1949) A. Aurilia and H. Umezawa, Phys. Rev. 182, 1682 (1969)
  2. Y. Nambu, Progr. Theoret. Phys. (Kyoto) Suppl. 37-38, 368 (1966) Phys. Rev. 160, 1171 (1967)
  3. I. Gyuk and H. Umezawa, Phys. Rev. Letters 22, 972 (1969)
  4. A. MacFarlane, Commun. Math. Phys. 2, 133 (1966)

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  7. A. Böhm, in Lectures in Theoretical Physics, edited by A. O. Barut and W. E. Brittin (Gordon and Breach, New York, 1968), Vol. XB

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  15. [2]

Outline

Information

Phys. Rev. D 3, 898– Published 15 February, 1971
  • Received 8 June 1970

© 1971 American Physical Society

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