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International Journal of Theoretical Physics

, Volume 15, Issue 12, pp 911–925 | Cite as

Hypercomplex number approach to Schwinger's quantum source theory

  • James D. EdmondsJr.
Article

Abstract

The hypercomplex numbers associated with the Dirac-Clifford algebra, are applied to the spin−0, −1/2, and −1 structures for Schwinger's source theory of quantum electrodynamics. The generalizations to 5-vectors and 5-space relativity are introduced. The anticommuting numbers, associated with Fermi-Dirac statistics, are examined in some detail. The hyper-complex number formulation is suitable for curved space quantum computations.

Keywords

Field Theory Elementary Particle Quantum Field Theory Quantum Computation Curve Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Edmonds, J. D., Jr., (1974).International Journal of Theoretical Physics,10, 115;10, 273;11, 309;American Journal of Physics,42, 220;Foundation of Physics,4, 473.Google Scholar
  2. Edmonds, J. R., Jr. (1975).International Journal of Theoretical Physics,13, 259;13, 297;13, 431.Foundations of Physics,5, 239.Lettere al Nuovo Cimento,13, 185.Google Scholar
  3. Schwinger, J. (1970).Particles, Sources and Fields. (Addison-Wesley, Reading, Massachusetts).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • James D. EdmondsJr.
    • 1
  1. 1.Department of Joint SciencesClaremont CollegesClaremont

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