SOLUTIONS OF THE SCHRODINGER EQUATION WITH INVERSELY QUADRATIC YUKAWA PLUS WOODS-SAXON POTENTIAL USING NIKIFOROV-UVAROV METHOD

Authors

  • Benedict Ita 1Physical/Theoretical Chemistry Unit, University of Calabar, Calabar, CRS, Nigeria
  • A. I. Ikeuba 1Physical/Theoretical Chemistry Unit, University of Calabar, Calabar, CRS, Nigeria
  • O. Obinna 1Physical/Theoretical Chemistry Unit, University of Calabar, Calabar, CRS, Nigeria

DOI:

https://doi.org/10.24297/jap.v8i2.1510

Keywords:

SchrÓ§dinger equation, inversely quadratic Yukawa potential, Woods-Saxon potential, Nikiforov-Uvarov method, Laguerre polynomials

Abstract

The solutions of the SchrÓ§dinger equation with inversely quadratic Yukawa plus Woods-Saxon potential (IQYWSP) have been presented using the 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, a special case of the potential has been considered and its energy eigen values obtained. The result of the work could be applied to molecules moving under the influence of IQYWSP potential as negative energy eigenvalues obtained indicate a bound state system.

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Author Biographies

Benedict Ita, 1Physical/Theoretical Chemistry Unit, University of Calabar, Calabar, CRS, Nigeria

Department of Pure and Applied Chemistry

A. I. Ikeuba, 1Physical/Theoretical Chemistry Unit, University of Calabar, Calabar, CRS, Nigeria

Department of Pure and Applied Chemistry

O. Obinna, 1Physical/Theoretical Chemistry Unit, University of Calabar, Calabar, CRS, Nigeria

Department of Pure and Applied Chemistry

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Published

2015-04-15

How to Cite

Ita, B., Ikeuba, A. I., & Obinna, O. (2015). SOLUTIONS OF THE SCHRODINGER EQUATION WITH INVERSELY QUADRATIC YUKAWA PLUS WOODS-SAXON POTENTIAL USING NIKIFOROV-UVAROV METHOD. JOURNAL OF ADVANCES IN PHYSICS, 8(2), 2094–2098. https://doi.org/10.24297/jap.v8i2.1510

Issue

Vol. 8 No. 2

Section

Articles

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Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.