Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions

The Schrödinger equation for the generalized Pöschl–Teller potential with the centrifugal term is investigated approximately. The Nikiforov–Uvarov method is used in the calculations and the eigenfunctions as well as the energy eigenvalues obtained after a proper Pekeris-type approximation. Some useful expectation values and the oscillator strength are reported.