Solutions of Schrodinger and Klein-Fock-Gordon equations for non-central Manning-Rosen potential

In this work, a non-central potential which is obtained by adding a ring-shaped potential to frequently used in quantum physics and quantum chemistry central ManningRosen potential is solved by Nikiforov-Uvarov method from Schrödinger equation for nonrelativistic and for Klein-Fock-Gordon for relativistic cases. Additionally related bound states energies and corresponding wave functions are also calculated. By changing potentials parameters, central and non-central energy values are obtained for Hulthen potential. Comparison of the obtained solutions by Nikiforov-Uvarov method with the previous values shows the accuracy of the proposed method not only for the central potentials but also for the non-central potentials.Key Words: Manning-Rosen potential, Klein-Fock-Gordon equation, Schrödinger equation, Ring-shaped like potential, Nikiforov-Uvarov method