Nonrelativistic Studies of Diatomic Molecules of Schrödinger Particles with Yukawa Plus Ring-Shaped Potential Model
Applied and Computational Mathematics
Volume 6, Issue 1, February 2017, Pages: 54-59
Received: Nov. 23, 2016; Accepted: Jan. 21, 2017; Published: Feb. 24, 2017
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Authors
Akaninyene D. Antia, Department of Physics, Faculty of Science, University of Uyo, Uyo, Nigeria
Okon P. Akpan, Department of Science Technology, Akwa Ibom State Polytechnic, Ikot Ekpene, Nigeria
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Abstract
In this paper, we have solved the Schrödinger wave equation with Yukawa plus ring-shaped potential model using powerful Nikiforov-Uvarov method and obtained the energy eigenvalues and corresponding wave functions in terms of Jacobi and Laguerre polynomials for the angular and radial part respectively. We have also presented the effect of angle dependent solution on radial solutions and also applied our results to obtain numerical values for some selected diatomic molecules which suggest usefulness to other physical systems. We also studied the behavior of our potential graphically for H2 diatomic molecule.
Keywords
Noncentral Potential, Diatomic Molecules, Nikiforov-Uvarov Method, Yukawa Potential, Ring-Shaped Potential
To cite this article
Akaninyene D. Antia, Okon P. Akpan, Nonrelativistic Studies of Diatomic Molecules of Schrödinger Particles with Yukawa Plus Ring-Shaped Potential Model, Applied and Computational Mathematics. Vol. 6, No. 1, 2017, pp. 54-59. doi: 10.11648/j.acm.20170601.14
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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