Coulomb-like tensor potential

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Bound States of Spatially Dependent Mass Dirac Equation with the Eckart Potential Including Coulomb Tensor ‎Interaction

Journal Title, Volume, Page: 
The European Physical Journal Plus , 129:1
Year of Publication: 
2014
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Babatunde J. Falaye
Theoretical Physics Section, University of Ilorin, Ilorin, Nigeria
Preferred Abstract (Original): 

We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an appropriate approximation to deal with the centrifugal term, the Dirac energy states and the corresponding normalized two-spinor components of the wave function are obtained in closed form. Some special cases of our solution are investigated. Furthermore, we present the correct solutions obtained via the asymptotic iteration method which are in agreement with the parametric Nikiforov-Uvarov method results.

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