Exact solutions of the Klein-Gordon equation for the Rosen-Morse type potentials via Nikiforov-Uvarov method
Modern Physics Letters A, vol.23, no.35, pp.3005-3013, 2008 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 23 Issue: 35
- Publication Date: 2008
- Doi Number: 10.1142/s0217732308026686
- Journal Name: Modern Physics Letters A
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.3005-3013
- Keywords: Exact solution, Klein-Gordon equation, Rosen-Morse type potential
- Kocaeli University Affiliated: Yes
Abstract
The exact solutions of the one-dimensional Klein-Gordon equation for the Rosen-Morse type potential with equal scalar and vector potentials are presented. First, we briefly review Nikiforov-Uvarov mathematical method. Using this method, wave functions and corresponding exact energy equation are obtained for the s-wave bound state. It has been shown that the results for Rosen-Morse type potentials reduce to the standard Rosen-Morse well and Eckart potentials in the special case. The PT-symmetry for these potentials is also considered. © 2008 World Scientific Publishing Company.