Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

Abstract

We study the d-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov—Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of a Jacobi polynomial. We also discuss two special cases of this potential comprised of the Hulthen potential and the Rosen—Morse potential in three dimensions. Numerical results are also computed for the energy spectrum and the potentials.