Bound State Solutions of the Klein-Gordon Equation with Manning-Rosen Plus Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov

B. I. Ita

Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, P.M.B. 1115 Calabar, CRS, Nigeria

H. Louis *

Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, P.M.B. 1115 Calabar, CRS, Nigeria and CAS Key Laboratory for Nanosystem and Hierarchical Fabrication, CAS Centre for Excellence in Nanoscience, National Centre for Nanoscience and Technology, University of Chinese Academy of Sciences, Beijing, China

P. I. Amos

Department of Chemistry, Modibbo Adama University of Technology, P.M.B. 2026 Yola, Adamawa State, Nigeria

T. O. Magu

Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, P.M.B. 1115 Calabar, CRS, Nigeria

N. A. Nzeata-Ibe

Physical and Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, P.M.B. 1115 Calabar, CRS, Nigeria

*Author to whom correspondence should be addressed.


Abstract

The solutions of the klein-gordon equation with Manning-Rosen plus Yukawa potential (MRYP) has been presented using the Pekeris-like approximation of the coulomb term and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions were obtained in terms of Jacobi polynomials. So also, Yukawa, Manning-Rosen and coulomb potentials have been recovered from the mixed potentials and their eigen values obtained.

 

Keywords: Klein-gordon equation, Manning-Rosen potential, Yukawa potential, Pekeris-like approximation, parametric Nikiforov-Uvarov method, Jacobi polynomials


How to Cite

I. Ita, B., H. Louis, P. I. Amos, T. O. Magu, and N. A. Nzeata-Ibe. 2017. “Bound State Solutions of the Klein-Gordon Equation With Manning-Rosen Plus Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov”. Physical Science International Journal 15 (3):1-6. https://doi.org/10.9734/PSIJ/2017/34330.

Downloads

Download data is not yet available.