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.


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.


Field Theory Elementary Particle Quantum Field Theory Quantum Computation Curve Space 
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  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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