Spectrum generating algebra and coherent states of the $C_λ$-extended oscillator
| dc.creator | Quesne, C. | |
| dc.date | 2000-08-23 | |
| dc.date.accessioned | 2026-07-07T06:24:24Z | |
| dc.date.available | 2026-07-07T06:24:24Z | |
| dc.description | $C_λ$-extended oscillator algebras, generalizing the Calogero-Vasiliev algebra, where $C_λ$ is the cyclic group of order $λ$, 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 $C_λ$-extended oscillator. We then construct its coherent states, study their nonclassical properties, and compare the latter with those of standard $λ$-photon coherent states, which are obtained as a special case. Finally, we briefly review some other types of coherent states associated with the $C_λ$-extended oscillator. | |
| dc.description | 9 pages, LaTeX, amssym, talk at the XXIII International Colloquium on Group Theoretical Methods in Physics, Dubna (Russia), 30 July - 5 August, 2000 (without figures) | |
| dc.identifier | https://arxiv.org/abs/math-ph/0008034 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0008034 | |
| dc.identifier | Phys. At. Nucl. 68 (2005) 1941-1946 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96529 | |
| dc.subject | Mathematical Physics | |
| dc.title | Spectrum generating algebra and coherent states of the $C_λ$-extended oscillator | |
| dc.type | text |