Radial Solutions of the Schrodinger’s Equation with Superposition of Yukawa and Manning-Rosen Applying the Nikiforov-Uvarov Method

Benedict I. Ita, Hitler Louis, Muyiwa M. Orosun, Nelson Nzeata-Ibe, Alexander I. Ikeuba, Thomas O. Magu

Abstract


The solutions of the Schrӧdinger equation with Manning-Rosen plus Yukawa potential (MRYP) have been presented using the Pekeris-like approximation of the Coulomb term and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions are obtained regarding Jacobi polynomials. Also, Yukawa, Manning-Rosen, and Coulomb potentials have been recovered from the mixed potential, and their eigenvalues obtained.

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