dorsal/arxiv
View SchemaThe Dirac algebra and its physical interpretation
| Authors | Peter Rowlands, John P. Cullerne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010094 |
| URL | https://arxiv.org/abs/quant-ph/0010094 |
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.
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"abstract": "A version of the Dirac equation is derived from first principles using a\ncombination of quaternions and multivariate 4-vectors. The nilpotent form of\nthe operators used allows us to derive explicit expressions for the\nwavefunctions of free fermions, vector bosons, scalar bosons; Bose-Einstein\ncondensates, and baryons;annihilation, creation and vacuum operators; the\nquantum field integrals; and C, P and T transformations; and to suggest new\ninsights into the meaning of supersymmetry and renormalization.",
"arxiv_id": "quant-ph/0010094",
"authors": [
"Peter Rowlands",
"John P. Cullerne"
],
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"title": "The Dirac algebra and its physical interpretation",
"url": "https://arxiv.org/abs/quant-ph/0010094"
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