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.
Similar content being viewed by others
References
Biedenharn, L. C., J. Phys. A 22, L873-L878 (1989).
Macfarlane, A. J., J. Phys. A 22, 4581–4588 (1989).
Kibler, M. and Negadi, T., J. Phys. A 24, 52–83 (1991).
Katriel, J. and Kibler, M., J. Phys. A Math. Gen. (1992) (in press).
Sun, C. P. and Fu, H. C., J. Phys. A 22, L983-L986 (1989).
Floreanini, R. and Vinet, L., Lett. Math. Phys. 22, 45 (1991).
Masuda, T., Mimachi, K., Nakagami, Y., Noumi, M., Saburi, Y., and Ueno, K., Lett. Math. Phys. 19, 187–194 (1990).
Masuda, T., Mimachi, K., Nakagami, Y., Noumi, M., Saburi, Y., and Ueno, K., Lett. Math. Phys. 19, 195–204 (1990).