 |
 |
 |
|
|
|
| HAL : in2p3-00322707, version 2 |
| arXiv : 0809.3220 |
| DOI : 10.1088/1751-8113/42/7/072001 |
| Fiche détaillée |  Récupérer au format |
|
|
| J. Phys. A: Math. Theor. 42 (2009) 072001 |
|
|
| Versions disponibles : | v1 (18-09-2008) | v2 (07-01-2009) |
|
|
|
|
| The isotropic lines of Z_{d}^{2} |
|
|
| Olivier Albouy1 |
|
|
| (2009) |
|
|
|
| We show that the isotropic lines in the lattice Z_{d}^{2} are the Lagrangian submodules of that lattice and we give their number together with the number of them through a given point of the lattice. The set of isotropic lines decompose into orbits under the action of SL(2,Z_d). We give an explicit description of those orbits as well as their number and their respective cardinalities. We also develop two group actions on the group \Sigma_{D}(M) related to the topic. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | IPNL - Institut de Physique Nucléaire de Lyon |
|
|
|
|
|
|
|
|
|
| théorie |
|
|
|
|
| Thème(s) | : | Physique/Physique Quantique |
|
|
| discrete Wigner distributions - isotropic lines - Lagrangian submodules |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| in2p3-00322707, version 2 | |
| http://hal.in2p3.fr/in2p3-00322707 | |
| oai:hal.in2p3.fr:in2p3-00322707 | |
| Contributeur : Olivier Albouy | |
| Soumis le : Mercredi 7 Janvier 2009, 13:56:11 | |
| Dernière modification le : Mercredi 4 Février 2009, 15:46:37 | |
