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A new dynamical group approach to the modified Poschl-Teller potential | | Shi-Hai Dong
; R. Lemus
; | | Date: |
27 Oct 2001 | | Subject: | quant-ph | | Abstract: | 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 $sinh(alpha x)$ and $frac{cosh(alpha x)}{alpha} frac{d}{dx}$ 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. | | Source: | arXiv, quant-ph/0110157 | | Services: | Forum | Review | PDF | Favorites | |
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