K-State Solutions To The Dirac Equation For The Quadratic Exponential-Type Potential Plus Eckart Potential And Coulomb-Like Tensor Interaction Using Nikiforov-Uvarov Method

  • Hitler Louis University of Calabar
  • Benedict I. Ita
  • Nzeata-Ibe A. Nelson
Keywords: Dirac equation, Quadratic exponential-type potential, Eckart potential, spin and pseudospin symmetry, Nikiforov-Uvarov Method.

Abstract

We solve the Dirac equation for the quadratic exponential-type potential plus Eckart potential including a Coulomb-like tensor potential with arbitrary spin–orbit coupling quantum number κ. In the framework of the spin and pseudospin (spin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov method. Also Special cases of the potential are been considered and their energy eigen values, as well as their corresponding eigen functions, are obtained for both relativistic and non-relativistic scope.

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Author Biographies

Hitler Louis, University of Calabar

Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, CRS, Nigeria.

Benedict I. Ita

Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, CRS, Nigeria.

Nzeata-Ibe A. Nelson

Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, CRS, Nigeria.

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Published
2019-08-30
How to Cite
Louis, H., Benedict I. Ita, & Nelson, N.-I. A. (2019). K-State Solutions To The Dirac Equation For The Quadratic Exponential-Type Potential Plus Eckart Potential And Coulomb-Like Tensor Interaction Using Nikiforov-Uvarov Method. To Physics Journal, 3, 12-23. Retrieved from http://purkh.com/index.php/tophy/article/view/379
Section
Research Articles