Bound State Solutions of the Schrӧdinger’s Equation with Manning-Rosen Plus a Class of Yukawa Potential Using Pekeris-like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov

The solutions of the Schrӧdinger equation with Manning-Rosen plus a class of Yukawa potential (MRCYP) have been presented using the Pekeris-like approximation and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions are obtained in terms of Jacobi polynomials. Also, inversely quadratic Yukawa, Yukawa, Manning-Rosen and coulomb potentials have been recovered from the mixed potential and their Eigen values obtained. The Numerical results are computed for some values of n at l = 0 with α = 0.01, 0.1, 2 and 5 using python 3.6 programming, and these results could be applied to molecules moving under the influence of MRYP potential as negative energy eigenvalues obtained indicate a bound state system.