dorsal/arxiv
View SchemaPerspectives: Quantum Mechanics on Phase Space
| Authors | J. A. Brooke, F. E. Schroeck Jr |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606223 |
| URL | https://arxiv.org/abs/quant-ph/0606223 |
| DOI | 10.1007/s10773-005-8955-3 |
| Journal | International Journal of Theoretical Physics 44 (2005) 1889-1904 |
Abstract
The basic ideas in the theory of quantum mechanics on phase space are illustrated through an introduction of generalities, which seem to underlie most if not all such formulations and follow with examples taken primarily from kinematical particle model descriptions exhibiting either Galileian or Lorentzian symmetry. The structures of fundamental importance are the relevant (Lie) groups of symmetries and their homogeneous (and associated) spaces that, in the situations of interest, also possess Hamiltonian structures. Comments are made on the relation between the theory outlined and a recent paper by Carmeli, Cassinelli, Toigo, and Vacchini.
{
"annotation_id": "074b0b4b-6a86-4960-b3ff-bcbf26cae697",
"date_created": "2026-03-02T18:02:26.740000Z",
"date_modified": "2026-03-02T18:02:26.740000Z",
"file_hash": "ab36acad27e714f8625190c32ca0e1268bc91702cd2752a211f9da3e86913bdc",
"private": false,
"record": {
"abstract": "The basic ideas in the theory of quantum mechanics on phase space are\nillustrated through an introduction of generalities, which seem to underlie\nmost if not all such formulations and follow with examples taken primarily from\nkinematical particle model descriptions exhibiting either Galileian or\nLorentzian symmetry. The structures of fundamental importance are the relevant\n(Lie) groups of symmetries and their homogeneous (and associated) spaces that,\nin the situations of interest, also possess Hamiltonian structures. Comments\nare made on the relation between the theory outlined and a recent paper by\nCarmeli, Cassinelli, Toigo, and Vacchini.",
"arxiv_id": "quant-ph/0606223",
"authors": [
"J. A. Brooke",
"F. E. Schroeck Jr"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-005-8955-3",
"journal_ref": "International Journal of Theoretical Physics 44 (2005) 1889-1904",
"title": "Perspectives: Quantum Mechanics on Phase Space",
"url": "https://arxiv.org/abs/quant-ph/0606223"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e54f51ec-180c-46f5-8161-4d9c1714f915",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}