%0 Journal Article %T Bound State Solutions of the Schrödinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov-Uvarov Method %A B. I. Ita %A H. Louis %A O. U. Akakuru %A T. O. Magu %A I. Joseph %A P. Tchoua %A P. I. Amos %A I. Effiong %A N. A. Nzeata %J Journal of Quantum Information Science %P 24-45 %@ 2162-576X %D 2018 %I Scientific Research Publishing %R 10.4236/jqis.2018.81003 %X The solutions of the Schrödinger with more general exponential screened coulomb (MGESC), Yukawa potential (YP) and the sum of the mixed potential (MGESCY) have been presented using the Parametric Nikiforov-Uvarov Method (pNUM). The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions expressed in terms of hypergeometric functions were obtained. Some derived equations were used to calculate numerical values for MGESC, YP, and MGESCY potentials for diatomic molecules with different screening parameters (ŚÁ) for l = 0 and l = 1 state with V₀ = 2.75 MeV and V₁ = 2.075 MeV. We observed an increase in l value; the particles behave more repulsive than attractive. The numerical values for different l-states at different screening parameters for CO molecules (r = 1.21282) and NO molecule (r = 1.1508) were obtained using the bound state energy eigenvalue of the Schrodinger equation for MGESC, YP and MGESCY potentials. Potential variation with intermolecular distance (r) for some of the particles moving under the influence of %K Yukawa %K Exponential Screened Coulomb %K Schrodinger %K Hypergeometric %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=83484