Solutions to the Modified Pöschl-Teller Potential in D-Dimensions

An approximate solution of the D-dimensional Schrödinger equation with the modified Pöschl-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 Pöschl-Teller potential are also computed. The expectation values of -2_> and are also obtained using the Feynman-Hellmann theorem.