dorsal/arxiv
View SchemaIntroducing spin to classical phase space
| Authors | J. Leon, J. M. Martin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9601011 |
| URL | https://arxiv.org/abs/quant-ph/9601011 |
Abstract
The kinematic degrees of freedom of spinning particles are analyzed and an explicit construction of the phase space and the simplectic structure that accomodates them is presented. A Poincare invariant theory of classical spinning particles that generalizes the work of Proca and Barut to arbitrary spin is given using spinor variables. Second quantization is naturally connected to the unphysical nature of zitterbewegung. Position variables can not be disentangled from spin in a canonical way, nor can the phase space be reduced to the usual description $(x,p)$ and a vector spin. Pacs: 03.20.+i, 03.65.Sq, 03.30.+p, 11.30.Cp
{
"annotation_id": "b99dde9a-5ffb-43e0-858d-e121bb5b1616",
"date_created": "2026-03-02T18:02:38.173000Z",
"date_modified": "2026-03-02T18:02:38.173000Z",
"file_hash": "b45b228fe4733ae70abee660c0bf6d6f1270aef7b170eba12c32afd3851af325",
"private": false,
"record": {
"abstract": "The kinematic degrees of freedom of spinning particles are analyzed and an\nexplicit construction of the phase space and the simplectic structure that\naccomodates them is presented. A Poincare invariant theory of classical\nspinning particles that generalizes the work of Proca and Barut to arbitrary\nspin is given using spinor variables. Second quantization is naturally\nconnected to the unphysical nature of zitterbewegung. Position variables can\nnot be disentangled from spin in a canonical way, nor can the phase space be\nreduced to the usual description $(x,p)$ and a vector spin.\n Pacs: 03.20.+i, 03.65.Sq, 03.30.+p, 11.30.Cp",
"arxiv_id": "quant-ph/9601011",
"authors": [
"J. Leon",
"J. M. Martin"
],
"categories": [
"quant-ph",
"hep-th"
],
"title": "Introducing spin to classical phase space",
"url": "https://arxiv.org/abs/quant-ph/9601011"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7ac158aa-06f2-4d95-8cd3-fcfa9bbaa881",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}