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Electrodynamics in terms of functions over the groupSU(2): II. Quantization

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Abstract

In a previous article by two of the present authors Carmeli's group-theoretic method for the formulation of wave equations was applied to the case of the electromagnetic field, and the equations for the vector potential were derived. In the present paper a quantization procedure for these equations is carried out in the Lorentz gauge. It involves two independent variables, corresponding to the number of degrees of freedom of the electromagnetic field in a Hilbert space with a positive-definite metric. Conserved quantities are derived.

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Author notes

  1. S. Malin

    Present address: Department of Physics and Astronomy, Colgate University, Hamilton, New York

Authors and Affiliations

  1. Department of Physics and Astrophysics, University of Colorado, Boulder, Colorado

    A. O. Barut

  2. Department of Physics, Ben-Gurion University of the Negev, Beer-sheva, Israel

    S. Malin

  3. Department of Physics, Bates College, Lewiston, Maine

    M. Semon

Authors
  1. A. O. Barut
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  2. S. Malin
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  3. M. Semon
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Barut, A.O., Malin, S. & Semon, M. Electrodynamics in terms of functions over the groupSU(2): II. Quantization. Found Phys 12, 521–530 (1982). https://doi.org/10.1007/BF00729999

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  • DOI: https://doi.org/10.1007/BF00729999

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