Arbitrary l-state solutions of the Klein-Gordon equation with the Poschl-Teller potential
ANNALEN DER PHYSIK, vol.522, no.11, pp.802-806, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 522 Issue: 11
- Publication Date: 2010
- Doi Number: 10.1002/andp.201000031
- Journal Name: ANNALEN DER PHYSIK
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.802-806
- Keywords: Klein-Gordon equation, Poschl-Teller potential, bound state, centrifugal term
- Erciyes University Affiliated: Yes
Abstract
Within the framework of the Klein-Gordon equation, the relativistic bound states for the Poschl-Teller potential are obtained for arbitrary angular momentum quantum numbers by using an approximation for the centrifugal term. The special case for equally scalar and vector Poschl-Teller potential is studied. The energy eigenvalues are obtained in closed form and the corresponding normalized radial wave functions are expressed in terms of the generalized hypergeometric functions. The s-wave (l = 0) case and bound state conditions are also investigated. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim