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Advances in High Energy Physics
Volume 2017, Article ID 9671816, 24 pages
https://doi.org/10.1155/2017/9671816
Research Article

Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method

1Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
2Theoretical Physics Group, Department of Physics, University of Ibadan, Ibadan, Nigeria

Correspondence should be addressed to Ituen B. Okon; gn.ude.oyuinu@nokoneuti

Received 7 February 2017; Revised 24 February 2017; Accepted 19 March 2017; Published 30 May 2017

Academic Editor: Saber Zarrinkamar

Copyright © 2017 Ituen B. Okon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We used a tool of conventional Nikiforov-Uvarov method to determine bound state solutions of Schrodinger equation with quantum interaction potential called Hulthen-Yukawa inversely quadratic potential (HYIQP). We obtained the energy eigenvalues and the total normalized wave function. We employed Hellmann-Feynman Theorem (HFT) to compute expectation values , , , and for four different diatomic molecules: hydrogen molecule (H2), lithium hydride molecule (LiH), hydrogen chloride molecule (HCl), and carbon (II) oxide molecule. The resulting energy equation reduces to three well-known potentials which are as follows: Hulthen potential, Yukawa potential, and inversely quadratic potential. The bound state energies for Hulthen and Yukawa potentials agree with the result reported in existing literature. We obtained the numerical bound state energies of the expectation values by implementing MATLAB algorithm using experimentally determined spectroscopic constant for the different diatomic molecules. We developed mathematica programming to obtain wave function and probability density plots for different orbital angular quantum number.