Approximate l-state solution of the trigonometric Pöschl–Teller potential

Abstract

The trigonometric Pöschl–Teller (PT) potential describes diatomic molecular vibration. We have obtained the approximate solutions of the radial Schrödinger equation for the rotating trigonometric PT potential using the Nikiforov–Uvarov method. The energy eigenvalues and their corresponding eigenfunctions are calculated for arbitrary l-states in closed form. In the low-screening region, when the screening parameter the potential reduces to the Kratzer potential. Numerical results are presented for several diatomic molecules.