Approximate Bound States of the Dirac Equation with Some Physical Quantum Potentials

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Journal Title, Volume, Page: 
Volume 218, Issue 20 , Pages 10082–10093
Year of Publication: 
2012
Authors: 
Sameer M. Ikhdair
Physics Department, Near East University, 922022 Nicosia, North Cyprus, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Ramazan Sever
Physics Department, Middle East Technical University, Ankara 06531, Turkey
Preferred Abstract (Original): 

The approximate analytical solutions of the Dirac equations with the reflectionless-type and Rosen–Morse potentials including the spin–orbit centrifugal (pseudo-centrifugal) term are obtained. Under the conditions of spin and pseudospin (pspin) symmetry concept, we obtain the bound state energy spectra and the corresponding two-component upper- and lower-spinors of the two Dirac particles by means of the Nikiforov–Uvarov (NU) method in closed form. The special cases of the s-wave View the MathML source Dirac equation and the non-relativistic limit of Dirac equation are briefly studied.