2001/10/27 by Shi‐Hai Dong, Shi-Hai Dong, Dong, Shi-Hai +2
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0110157
Latex file 16 papges
arxiv created 2001/10/27 · arxiv updated 2009/12/01
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 (d)/(dx) are evaluated from these ladder operators. The expansions of the coordinate x and momentum 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.