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The Dirac algebra and its physical interpretation
Peter Rowlands, John P. Cullerne
abstract: A version of the Dirac equation is derived from first principles using a
combination of quaternions and multivariate 4-vectors. The nilpotent form of
the operators used allows us to derive explicit expressions for the
wavefunctions of free fermions, vector bosons, scalar bosons; Bose-Einstein
condensates, and baryons;annihilation, creation and vacuum operators; the
quantum field integrals; and C, P and T transformations; and to suggest new
insights into the meaning of supersymmetry and renormalization.
- oai_identifier:
- oai:arXiv.org:quant-ph/0010094
- categories:
- quant-ph
- comments:
- 36 pages, no figures
- arxiv_id:
- quant-ph/0010094
- created:
- 2000-10-27
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