The Dirac algebra and its physical interpretation
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0010094,
title = {The Dirac algebra and its physical interpretation},
author = {Peter Rowlands and John P. Cullerne},
journal= {arXiv preprint arXiv:quant-ph/0010094},
year = {2007}
}
Comments
36 pages, no figures