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In this work, we used a tool of conventional Nikiforov-Uvarov method todetermine bound state solution of Schrodinger equation with quantum interactionpotential called Hulthen-Yukawa inversely quadratic potential (HYIQP). Weobtained the energy eigen values and the total wave function . We employedHellmann-Feynmann Theorem (HFT) to compute expectation values for fourdifferent diatomic molecules: Hydrogen molecule (H2), Lithium hydride molecule(LiH), Hydrogen Chloride molecule (HCl) and Carbon(II)Oxide molecule. Theresulting energy equation reduces to three well known potentials which are:Hulthen potential, Yukawa potential and inversely quadratic potential. Weobtained the numerical bound state energies of the expectation values byimplementing Matlab algorithm using experimentally determined spectroscopicconstant for the different diatomic molecules. We developed a mathematicaprogramming to obtain wave function and probability density plots for differentorbital angular quantum number.

Expectation Values of Some Diatomic Molecules With Quantum Interaction  Potential In Schrodinger Equation with Hellmann-Feynman Theorem Via  Conventional Nikiforov-Uvarov Method