Bound State Solutions of the Schr？dinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov-Uvarov Method
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 (α) 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
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