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

Altug Arda, Ramazan Sever, Cevdet Tezcan

Published 2009-09-11Version 1

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.