Ladder Operators for the Modified Poschl-Teller Potential

摘要

A closed of the normalization constants of the wave function for the modified Poschl-Teller (MPT) potential isobtained from the different methods . It is shown that the discrete spectrum of the MPT potential is associated to the su(2) algebra. This identification is achieved by means of a realization of raising and lowering operators in terms of the physical variavblu #mu#=tahn(ax) . Analytical expressions for the matrix elements derived from these operators are obtained for the functions u/1-u~2 root and 1-u~2 root (d/du). The harmonic limit of the su(2) operators is also analyzed