Spectrum generating algebra and coherent states of the $C_{\lambda}$-extended oscillator
Quesne, C.
arXiv, 0008034 / Harvested from arXiv
Text on arXiv
$C_{\lambda}$-extended oscillator algebras, generalizing the Calogero-Vasiliev algebra, where $C_{\lambda}$ is the cyclic group of order $\lambda$, have recently proved very useful in the context of supersymmetric quantum mechanics and some of its variants. Here we determine the spectrum generating algebra of the $C_{\lambda}$-extended oscillator. We then construct its coherent states, study their nonclassical properties, and compare the latter with those of standard $\lambda$-photon coherent states, which are obtained as a special case. Finally, we briefly review some other types of coherent states associated with the $C_{\lambda}$-extended oscillator.
Publié le : 2000-08-23
Classification:  Mathematical Physics 
@article{0008034,
     author = {Quesne, C.},
     title = {Spectrum generating algebra and coherent states of the
  $C\_{\lambda}$-extended oscillator},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008034}
}

Quesne, C. Spectrum generating algebra and coherent states of the
  $C_{\lambda}$-extended oscillator. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008034/