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SU(2) harmonic analysis as a basis for quantization

  • S. Malin
Group Theory in Quantum Mechanics
Part of the Lecture Notes in Physics book series (LNP, volume 94)

Abstract

This is a brief review of (i) Carmeli's method of formulation and quantization of fields in terms of functions over the group SU(2); (ii) Work by Barut, Carmeli and the present author on applications of the method to Maxwell's equations, Weyl's equation, Dirac's equation and the linearized equations of General Relativity.

Keywords

Invariant Measure Present Author Commutation Relation Dirac Equation Electromagnetic Radiation 
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References

  1. 1.
    M. Carmeli, J. Math. Phys. 10, 569 (1969).Google Scholar
  2. 2.
    M. Carmeli, Nuovo Cimento B67, 103 (1970).Google Scholar
  3. 3.
    Y. Aharonov and G. Carmi, Found. Phys. 4, 75 (1974); 3, 493 (1973).Google Scholar
  4. 4.
    Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).Google Scholar
  5. 5.
    A.O. Barut and S. Malin, Found. Phys. 5, 375 (1975).Google Scholar
  6. 6.
    S. Malin, J. Math. Phys. 16, 679 (1975).Google Scholar
  7. 7.
    A.O. Barut, M. Carmeli and S. Malin, Ann. Phys. (NY) 77, 454 (1973).Google Scholar
  8. 8.
    S. Malin, Phys. Rev. D8, 2338 (1974).Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • S. Malin
    • 1
    • 2
  1. 1.Department of PhysicsBen-Gurion UniversityBeer ShebaIsrael
  2. 2.Department of Physics and AstronomyColgate UniversityHamiltonUSA

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