Z. Naturforsch. 68a, 524 – 530
Approximate Solution of the Spin-0 Particle Subject to the Trigonometric Pöschl–Teller Potential with Centrifugal Barrier
1 Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran
2 Physics Department, Shahrood University of Technology, Shahrood, Iran
Received December 11, 2012 / revised March 15, 2013 / published online May 22, 2013
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.
Key words: Klein–Gordon Equation; Trigonometric Pöschl–Teller Potential; Nikiforov–Uvarov Method.
PACS numbers: 03.65.-w; 04.20.Jb; 03.65.Fd; 02.30.Gp; 03.65.Ge