Solutions to the modified Poschl-Teller Potential in D-dimensions

Abstract

An approximate solution of the $D$-dimensional Schr$\ddot{o}$dinger equation with the modified P$\ddot{o}$schl-Teller potential is obtained with an approximation of the centrifugal term. Solution to the corresponding hyper-radial equation is given using the conventional Nikiforov-Uvarov method. The normalization constants for the P$\ddot{o}$schl-Teller potential are also computed. The expectation values $<r^{-2}>$,$<V(r)>$, are also obtained using the Feynman-Hellmann theorem.