Construction of solvable potential partner of generalized Hulthen potential in D-dimensional Schrödinger equation

The radial part of D-dimensional Schrodinger equation was solved by using supersymmetric quantum mechanic and Nikiforov-Uvarov method. In this study we using the Hulthen potential. The D-dimensional Schrodinger equation for the general Hulthen potential was solved by Nikiforov-Uvarov method, so we obtain the ground state wave function and the ground state energy. The superpotential was constructed using the ground state wave function by applying supersymmetric operator. The first potential partner determined by superpotential supersymmetric. The second potential partner was obtained by using the first potential partner and the ground state wave function. The second potential partner was used as a new potential in D-dimensional Schrodinger equation. The D-dimensional Schrodinger equation for the second potential partner also solved by Nikiforov-Uvarov method. The energy spectrum and the wave functions of original potential have different with the energy spectrum and the wave functions of the potential partner.