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


Benedict I. Ita, Hitler Louis, And Nzeata-Ibe A. Nelson

We solve the Dirac equation for the quadratic exponential-type potentialplus Eckart potential,including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the NikiforovUvarov method. Also Special cases of the potential arebeen 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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