dorsal/arxiv
View SchemaBasis States for Relativistic, Dynamically-Entangled Particles
| Authors | N. L. Harshman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409204 |
| URL | https://arxiv.org/abs/quant-ph/0409204 |
| DOI | 10.1103/PhysRevA.71.022312 |
| Journal | Phys. Rev. A 71, 022312 (2005) |
Abstract
In several recent papers on entanglement in relativistic quantum systems and relativistic Bell's inequalities, relativistic Bell-type two-particle states have been constructed in analogy to non-relativistic states. These constructions do not have the form suggested by relativistic invariance of the dynamics. Two relativistic formulations of Bell-type states are shown for massive particles, one using the standard Wigner spin basis and one using the helicity basis. The construction hinges on the use of Clebsch-Gordan coefficients of the Poincar\'e group to reduce the direct product of two unitary irreducible representations (UIRs) into a direct sum of UIRs.
{
"annotation_id": "571e5ffd-e1b1-45f9-9b3c-584fc009d189",
"date_created": "2026-03-02T18:02:10.246000Z",
"date_modified": "2026-03-02T18:02:10.246000Z",
"file_hash": "9f6408cc17ff2458cb4adedc690ded4284ba5aaee1cc204bcef547f3ffc45ff1",
"private": false,
"record": {
"abstract": "In several recent papers on entanglement in relativistic quantum systems and\nrelativistic Bell\u0027s inequalities, relativistic Bell-type two-particle states\nhave been constructed in analogy to non-relativistic states. These\nconstructions do not have the form suggested by relativistic invariance of the\ndynamics. Two relativistic formulations of Bell-type states are shown for\nmassive particles, one using the standard Wigner spin basis and one using the\nhelicity basis. The construction hinges on the use of Clebsch-Gordan\ncoefficients of the Poincar\\\u0027e group to reduce the direct product of two\nunitary irreducible representations (UIRs) into a direct sum of UIRs.",
"arxiv_id": "quant-ph/0409204",
"authors": [
"N. L. Harshman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.022312",
"journal_ref": "Phys. Rev. A 71, 022312 (2005)",
"title": "Basis States for Relativistic, Dynamically-Entangled Particles",
"url": "https://arxiv.org/abs/quant-ph/0409204"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "55b364b8-8278-44b8-907c-fb6af8ecf784",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}