Bound State Solutions of the Schrodinger’s Equation with Manning-Rosen plus Yukawa Potential using Pekeris-like Approximation of the Coulomb Term and Parametric Nikoforov-Uvarov

Authors

  • B. I. Ita Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, CRS, Nigeria
  • Louis Louis Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, CRS, Nigeria
  • N. A. Nzeata-ibe Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, CRS, Nigeria
  • M. M. Orosun Department of Physics, University of Ilorin. Ilorin, Kwara State, Nigeria

Keywords:

Schrӧdinger equation, Manning-Rosen potential, Yukawa potential, Pekeris-like approximation, ParametricNikiforov-Uvarov method, Jacobi polynomials

Abstract

The solutions of the Schrӧdinger equation with Manning-Rosen plus Yukawa potential (MRYP) have been presented using the Pekeris-like approximation of the coulomb term and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions are obtained in terms of Jacobi polynomials. Also, Yukawa, Manning-Rosen and coulomb potentials have been recovered from the mixed potential and their eigen values obtained.The Numerical results are computed for some values of n at l=0 with α = 0.01, 0.1, 2 and 5 using python 3.6 programming, and these results could be applied to molecules moving under the influence of MRYP potential as negative energy eigenvalues obtained indicate a bound state system. 

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Published

2022-08-15

How to Cite

Ita, B. I., Louis, L., Nzeata-ibe, N. A. ., & Orosun, M. M. (2022). Bound State Solutions of the Schrodinger’s Equation with Manning-Rosen plus Yukawa Potential using Pekeris-like Approximation of the Coulomb Term and Parametric Nikoforov-Uvarov. Zimbabwe Journal of Science and Technology, 12(1), 128–132. Retrieved from https://journals.nust.ac.zw/index.php/zjst/article/view/118

Issue

Vol. 12 No. 1 (2017): Volume Twelve

Section

Articles