Energy Spectrum of the K-State Solutions of the Dirac Equation for Modified Eckart Plus Inverse Square Potential Model in the Presence of Spin and Pseudo-Spin Symmetry within the Framework of Nikifarov-Uvarov Method
H. Louis *
Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria and CAS Key Laboratory For Nanosystem and Hierachical Fabrication, CAS Centre For Excellence in Nanoscience, National Centre for Nanoscience and Technology, University Chinese Academy of Sciences, Beijing, China.
A. I. Ikeuba
Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria.
B. I. Ita
Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria.
P. I. Amos
Department of Chemistry, Modibbo Adama University of Technology, Yola, Nigeria.
T. O. Magu
Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria.
O. U. Akakuru
Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria.
N. A. Nzeata
Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The exact analytical bound state solutions of wave equations are still very interesting problems in fundamental quantummechanics. However, there are only a few potentials for which these wave equations can be exactly solved. In this paper, Spin and pseudospin symmetries of the Dirac equation for Modified Eckart plus Inverse square potential within a zero tensor interaction are investigated using the parametric Nikiforov-Uvarov method which is based on the solutions of general second-order linear differential equations with special functions. The bound state eigen value was obtained with some few cases of potential considerations.
Keywords: Modified eckart plus inverse square potential, dirac equation, spin and pseudospin symmetry, nikiforov-uvarov method