Abstract
The trigonometric Pöschl-Teller (PT) potential describes the diatomic molecular vibration. In this paper, we study the approximate solutions of the radial Klein-Gordon (KG) equation for the rotating trigonometric PT potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues and their corresponding eigenfunctions are calculated for arbitrary l-states in closed form. We obtain the non-relativistic limit and present some numerical results for both relativistic and non-relativistic cases.
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