Computational Studies of Energy and Expectation Values of Modified Yukawa Potential (MYP) for some Diatomic Molecules

Authors

  • Uduakobong S. Okorie Department of Physics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria
  • Nsikak E. Ekpenyong Department of Physics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria
  • Sylvester A. Ekong Department of Physics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria
  • Inyang A. Akpabio Department of Physics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria
  • Ubong A. Iboh Department of Physics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria
  • Etebong E. Ibekwe Department of Physics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria
  • Ubong W. Robert Department of Physics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria
  • Akpan N. Ikot Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria

Keywords:

Schrödinger equation (SE), Modified Yukawa Potential (MYP), Expectation Values, Diatomic molecules (DMs), Energy values

Abstract

The modified Yukawa potential energy function is known to be a very lofty model due to its potency in predicting the behaviour of different atoms and molecules. The aim of this study is to establish numerical energies and expectation values of some diatomic molecules confined in modified Yukawa potential. By employing the basic ideas of non-relativistic quantum mechanics, the radial Schrödinger equation (SE) with modified Yukawa potential (MYP) is solved using the asymptotic iteration method (AIM). We explicitly obtained the energy value expression and their correspond-ding normalized eigen - functions in closed form for some diatomic molecules (DMs) such as hydrogen dimer (H2), lithium hydride (LiH) and hydrogen chloride (HCl), with the help of the Greene - Aldrich-type approximation scheme. Using the Hellman-Feynman theorem (HFT), we obtained the expressions for the expectation values of the selected DMs. The numerical results of the energies and expectation values of the DMs with varying quantum numbers are further presented. In addition, the graphical plots of the energies and expectation values as functions of quantum numbers have been discussed extensively. It is observed that the energies and expectation values of MYP depend greatly on the quantum numbers for the selected DMs. Our results show a great correlation when compared to other works in available literature.

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Published

2022-12-28

How to Cite

Okorie, U. S., Ekpenyong, N. E., Ekong, S. A., Akpabio, I. A., Iboh, U. A., Ibekwe, E. E., … Ikot, A. N. (2022). Computational Studies of Energy and Expectation Values of Modified Yukawa Potential (MYP) for some Diatomic Molecules. Researchers Journal of Science and Technology, 2(3), 68–83. Retrieved from https://www.rejost.com.ng/index.php/home/article/view/42

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Vol. 2 No. 3 (2022): Reseachers Journal of Science and Technology

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