Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials

Details Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials

2009-09-11

arxiv.org/abs/0909.2086v1

Chinese J. Phys. 48, 27(2010)

Physics

Mathematical Physics

14 pages

Scientific paper

Dirac equation is solved for some exponential potentials, hypergeometric-type potential, generalized Morse potential and Poschl-Teller potential with any spin-orbit quantum number $\kappa$ in the case of spin and pseudospin symmetry, respectively. We have approximated for non s-waves the centrifugal term by an exponential form. The energy eigenvalue equations, and the corresponding wave functions are obtained by using the generalization of the Nikiforov-Uvarov method.

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