Quantization of the sphere with coherent states
| dc.creator | Rey, Marc Lachieze | |
| dc.creator | Gazeau, Jean-Pierre | |
| dc.creator | Huguet, Eric | |
| dc.creator | Renaud, Jacques | |
| dc.creator | Garidi, Tarik | |
| dc.date | 2003-02-24 | |
| dc.date.accessioned | 2026-07-07T04:29:49Z | |
| dc.date.available | 2026-07-07T04:29:49Z | |
| dc.description | Quantization with coherent states allows to " quantize " any space X of parameters. In the case where X is a phase space, this leads to the usual quantum mechanics. But the procedure is much more general, and does not require a symplectic, or any kind of structure in X, other than a measure. It is simply considered as a different way to look at the system, the choice of a resolution, in analogy with data handling, where coherent states (e.g., under the form of wavelets) are very efficient. Here, we present the complex coherent states quantization of the 2-sphere, with emphasis on the links with group representation. We show how this procedure leads naturally to the fuzzy sphere and to non commutative geometry. | |
| dc.description | 9 pages, no figure. Int. J. Theor. Phys. 2003, in press | |
| dc.identifier | https://arxiv.org/abs/math-ph/0302056 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0302056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57300 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Operator Algebras | |
| dc.title | Quantization of the sphere with coherent states | |
| dc.type | text |