On the representations of quantum oscillator algebra |
| |
| Authors: | Guy Rideau |
| |
| Institution: | (1) Laboratoire de Physique Théorique et Mathématique, Université Paris VII, Tour Centrale, 3ème étage, 2 place Jussieu, F-75251 Paris Cedex 05, France |
| |
| Abstract: | It is shown that for q<1, the quantum oscillator algebra has a supplementary family of representations inequivalent to the usual q-Fock representation, with no counterpart at the limit q=1. They are used to build representations of SU
q
(1,1) and E(2) in Schwinger's way. |
| |
| Keywords: | 81R50 22E70 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
