Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

Analytical solutions of the N-dimensional Schrödinger equation for newly proposed Varshni-Hulthén potential are obtained within framework Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to centrifugal barrier. The numerical energy eigenvalues and corresponding normalized eigenfunctions in terms Jacobi polynomials. Special cases equally studied their agreement with those previously other methods. However, behavior ground state several excited states is illustrated graphically.