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

2010-02-01
Arda, Altug
Sever, Ramazan
TEZCAN, CEVDET
The Dirac equation is solved for some exponential potentials the hypergeometric-type potential, the generalized Morse potential, and the Poschl-Teller potential with any spin-orbit quantum number kappa in the case of spin and pseudospin symmetry. 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 a generalization of the Nikiforov-Uvarov method.