The $C_{\lambda}$-extended oscillator spectrum generating algebra is shown to
be a $C_{\lambda}$-extended $(\lambda-1)$th-degree polynomial deformation of
su(1,1). Its coherent states are constructed. Their statistical and squeezing
properties are studied in detail. Such states include both some
Barut-Girardello and the standard $\lambda$-photon coherent states as special
cases.
@article{0007016,
author = {Quesne, C.},
title = {Spectrum generating algebra of the C\_{\lambda}-extended oscillator and
multiphoton coherent states},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0007016}
}
Quesne, C. Spectrum generating algebra of the C_{\lambda}-extended oscillator and
multiphoton coherent states. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0007016/