Resumen de Relativistic treatment of the Hellmann-generalized morse potential
P.O. Okoi, C.O. Edet, T. O. Magu
We solve the relativistic equations (Klein-Gordon and Dirac equation) via the conventional Nikiforov-Uvarov method. In order to overcome the centrifugal barrier, we employed the well-known Greene and Aldrich approximation scheme. The corresponding normalized eigenfunctions was also obtained in each case. It was shown that in the non-relativistic limits, both energy equations obtained by solving Klein-Gordon and Dirac equations, as well as the wavefunctions reduced to the non-relativisitc energy equation. The bound state energy eigenvalues for N_(2), CO, NO, CH and HCl diatomic molecules were computed for various vibrational and rotational quantum numbers. It was found that our results agree with those in literature.
