Volume 2, Issue 3, August 2017, Page: 77-84
Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Quadratic Exponential-Type Potential Plus Eckart Potential and Yukawa-Like Tensor Interaction
Nzeata-Ibe Nelson, Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria
Benedict Iserom Ita, Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria
Innocent Joseph, Department of Chemistry, Modibbo Adama University of Technology, Yola, Nigeria
Pigwe Isa Amos, Department of Chemistry, Modibbo Adama University of Technology, Yola, Nigeria
Thomas Odey Magu, Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria
Louis Hitler, Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria; CAS Key Laboratory for Nanosystem and Hierarchical Fabrication, CAS Centre for Excellence in Nanoscience, National Centre for Nanoscience and Technology, University of Chinese Academy of Science, Beijing, China
Received: Aug. 2, 2017;       Accepted: Aug. 21, 2017;       Published: Sep. 7, 2017
DOI: 10.11648/j.wjap.20170203.13      View  1311      Downloads  58
Abstract
We solve the Dirac equation for the quadratic exponential-type potential plus Eckart potential including a Yukawa-like tensor potential with arbitrary spin–orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov method. Also Special cases of the potential as been considered and their energy eigen values as well as their corresponding eigen functions are obtained for both relativistic and non-relativistic scope.
Keywords
Dirac Equation, Quadratic Exponential-Type Potential, Eckart Potential, Spin and Pseudospin Symmetry, Nikiforov-Uvarov Method
To cite this article
Nzeata-Ibe Nelson, Benedict Iserom Ita, Innocent Joseph, Pigwe Isa Amos, Thomas Odey Magu, Louis Hitler, Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Quadratic Exponential-Type Potential Plus Eckart Potential and Yukawa-Like Tensor Interaction, World Journal of Applied Physics. Vol. 2, No. 3, 2017, pp. 77-84. doi: 10.11648/j.wjap.20170203.13
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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