Analytical solution of the Klein Gordon equation for a quadratic exponential-type potential
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, vol.69, no.1, pp.1-5, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 69 Issue: 1
- Publication Date: 2016
- Doi Number: 10.3938/jkps.69.1
- Journal Name: JOURNAL OF THE KOREAN PHYSICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1-5
- Kocaeli University Affiliated: Yes
Abstract
In this research study, analytical solutions of the Klein Gordon equation by considering the potential as a quadratic exponential will be presented. However, the potential is assumed to be within the framework of an approximation for the centrifugal potential in any state. The Nikiforov-Uvarov method is used to calculate the wave function, as well as corresponding exact energy equation, in bound states. We finally concluded that the quadratic exponential-type potential under which the results were deduced, led to outcomes that were comparable to the results obtained from the well-known potentials in some special cases.