dorsal/arxiv
View SchemaClassical behaviour of the Dirac bispinor
| Authors | Sarah B. M. Bell, John P. Cullerne, Bernard M. Diaz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011026 |
| URL | https://arxiv.org/abs/quant-ph/0011026 |
| Journal | Foundations of Physics Vol 30 No 1 (2000) 35-57 |
Abstract
It is usually supposed that the Dirac and radiation equations predict that the phase of a fermion will rotate through half the angle through which the fermion is rotated, which means, via the measured dynamical and geometrical phase factors, that the fermion must have a half-integral spin. We demonstrate that this is not the case and that the identical relativistic quantum mechanics can also be derived with the phase of the fermion rotating through the same angle as does the fermion itself. Under spatial rotation and Lorentz transformation the bispinor transforms as a four-vector like the potential and Dirac current. Previous attempts to provide this form of transformational behaviour have foundered because a satisfactory current could not be derived.(14)
{
"annotation_id": "510cafb8-a519-4cae-ab9c-7f4872e07514",
"date_created": "2026-03-02T18:01:42.645000Z",
"date_modified": "2026-03-02T18:01:42.645000Z",
"file_hash": "d6ea1777557a7b3bea5d0a54cae90b98f5d26b6d6d014aed1167e52313088493",
"private": false,
"record": {
"abstract": "It is usually supposed that the Dirac and radiation equations predict that\nthe phase of a fermion will rotate through half the angle through which the\nfermion is rotated, which means, via the measured dynamical and geometrical\nphase factors, that the fermion must have a half-integral spin. We demonstrate\nthat this is not the case and that the identical relativistic quantum mechanics\ncan also be derived with the phase of the fermion rotating through the same\nangle as does the fermion itself. Under spatial rotation and Lorentz\ntransformation the bispinor transforms as a four-vector like the potential and\nDirac current. Previous attempts to provide this form of transformational\nbehaviour have foundered because a satisfactory current could not be\nderived.(14)",
"arxiv_id": "quant-ph/0011026",
"authors": [
"Sarah B. M. Bell",
"John P. Cullerne",
"Bernard M. Diaz"
],
"categories": [
"quant-ph"
],
"journal_ref": "Foundations of Physics Vol 30 No 1 (2000) 35-57",
"title": "Classical behaviour of the Dirac bispinor",
"url": "https://arxiv.org/abs/quant-ph/0011026"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4de14cd9-9b87-4d0a-b44f-49079e3100c7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}