2 00 1 A new dynamical group approach to the Modified Pöschl - Teller potential
نویسندگان
چکیده
The properties of the wave function for the Modified Pöschl-Teller (MPT) potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary parameter. It is shown that these operators are associated to the su(2) algebra. Analytical expressions for the functions sinh(αx) and cosh(αx) α d dx are evaluated from ladder operators. The expansions of the coordinate x and momentum p̂ 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 vibrations. PACS number(s): 03. 65. Ca, 03. 65. Fd ∗E-mail address: dongsh@nuclecu. unam. mx, lemus@servidor. unam. mx 1
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تاریخ انتشار 2001