Exact Solutions of the Klein-Gordon Equation for the Scarf-Type Potential via Nikiforov-Uvarov Method
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.49, no.5, pp.979-987, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 49 Issue: 5
- Publication Date: 2010
- Doi Number: 10.1007/s10773-010-0277-6
- Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.979-987
- Kocaeli University Affiliated: Yes
Abstract
In this paper we present the exact solutions of the one-dimensional Klein-Gordon equation for the Scarf-type potential with equal scalar and vector potentials. Exact solutions and corresponding energy eigenvalues equation are obtained using Nikiforov-Uvarov mathematical method for the s-wave bound state. The PT-symmetry and Hermiticity for this potential are also considered. It will be shown that the obtained results of the Scarf-type potential are reduced to the results of the well-known potentials in the special cases.