A new dynamical group approach to the modified Poschl-Teller potential
| dc.creator | Dong, Shi-Hai | |
| dc.creator | Lemus, R. | |
| dc.date | 2001-10-27 | |
| dc.date.accessioned | 2026-07-07T06:02:55Z | |
| dc.date.available | 2026-07-07T06:02:55Z | |
| dc.description | The properties of the modified Pöschl-Teller (MPT) potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the $su(2)$ algebra. Analytical expressions for the functions $\sinh(αx)$ and $\frac{\cosh(αx)}α \frac{d}{dx}$ are evaluated from these ladder operators. The expansions of the coordinate $x$ and momentum $\hat p$ in terms of the $su(2)$ generators are presented. This analysis allows to establish an exact quantum-mechanical connection between the $su(2)$ vibron model and the traditional descriptions of molecular vibron. | |
| dc.description | Latex file 16 papges | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0110157 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0110157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89793 | |
| dc.subject | Quantum Physics | |
| dc.title | A new dynamical group approach to the modified Poschl-Teller potential | |
| dc.type | text |