| Domaine : |
 |
|
 |
| Titre : |
 |
Coherent state quantization of paragrassmann algebras |
 |
| Auteur(s) : |
 |
M. El Baz, R. Fresneda, J.-P. Gazeau1, Y. Hassouni |
 |
| Laboratoire : |
 |
|
 |
| équipe(s) de recherche : |
 |
APC - THEORIE |
| Résumé : |
 |
By using a coherent state quantization of paragrassmann variables, operators are constructed in finite Hilbert spaces. We thus obtain in a straightforward way a matrix representation of the paragrassmann algebra. This algebra of finite matrices realizes a deformed Weyl-Heisenberg algebra. The study of mean values in coherent states of some of these operators leads to interesting conclusions. |
 |
Langue du texte intégral : |
 |
Anglais |
 |
Date de production, écriture : |
 |
30/12/2011 |
 |
|
| Journal : |
 |
| Journal of Physics A: Mathematical and Theoretical |
| Publisher |
Institute of Physics: Hybrid Open Access |
| ISSN |
1751-8113 (eISSN : 1751-8121) |
|
 |
| Audience : |
 |
internationale |
 |
| Type de publication : |
 |
Articles dans des revues avec comité de lecture |
 |
| Date de publication : |
 |
09/2010 |
 |
| Volume : |
 |
43 |
 |
| Page, identifiant, ... : |
 |
385202 |
 |
|
| Commentaire : |
 |
We provide an erratum where we improve upon our previous definition of odd paragrassmann algebras |
 |
|