World Journal of Applied Physics

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Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction

Received: 29 August 2017    Accepted: 14 September 2017    Published: 23 October 2017
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Abstract

The Dirac equation was solved for the Manning-Rosen plus Hellmann 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, the energy eigenvalue equation and the corresponding eigenfunctions were obtained in closed form by using the Nikiforov-Uvarov method. Also Special cases of the potential have been considered and their energy eigen values as well as their corresponding eigen functions were obtained for both relativistic and non-relativistic scope.

DOI 10.11648/j.wjap.20170204.12
Published in World Journal of Applied Physics (Volume 2, Issue 4, November 2017)
Page(s) 101-108
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Dirac Equation, Manning-Rosen Potential, Hellmann Potential, Spin and Pseudospin Symmetry, Nikiforov-Uvarov Method

References
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Author Information
  • Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, 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

  • Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria

  • Department of Chemistry, Modibbo Adama University of Technology Yola, Adamawa, Nigeria

  • Department of Chemistry, Modibbo Adama University of Technology Yola, Adamawa, Nigeria

  • Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria

  • Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, CRS, Nigeria

  • Department of Chemistry, Modibbo Adama University of Technology Yola, Adamawa, Nigeria

Cite This Article
  • APA Style

    Louis Hitler, Benedict Iserom Ita, Pigweh Amos Isa, Innocent Joseph, Nzeata-Ibe Nelson, et al. (2017). Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction. World Journal of Applied Physics, 2(4), 101-108. https://doi.org/10.11648/j.wjap.20170204.12

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    ACS Style

    Louis Hitler; Benedict Iserom Ita; Pigweh Amos Isa; Innocent Joseph; Nzeata-Ibe Nelson, et al. Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction. World J. Appl. Phys. 2017, 2(4), 101-108. doi: 10.11648/j.wjap.20170204.12

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    AMA Style

    Louis Hitler, Benedict Iserom Ita, Pigweh Amos Isa, Innocent Joseph, Nzeata-Ibe Nelson, et al. Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction. World J Appl Phys. 2017;2(4):101-108. doi: 10.11648/j.wjap.20170204.12

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  • @article{10.11648/j.wjap.20170204.12,
      author = {Louis Hitler and Benedict Iserom Ita and Pigweh Amos Isa and Innocent Joseph and Nzeata-Ibe Nelson and Thomas Odey Magu and Opara Ivan},
      title = {Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction},
      journal = {World Journal of Applied Physics},
      volume = {2},
      number = {4},
      pages = {101-108},
      doi = {10.11648/j.wjap.20170204.12},
      url = {https://doi.org/10.11648/j.wjap.20170204.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.wjap.20170204.12},
      abstract = {The Dirac equation was solved for the Manning-Rosen plus Hellmann 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, the energy eigenvalue equation and the corresponding eigenfunctions were obtained in closed form by using the Nikiforov-Uvarov method. Also Special cases of the potential have been considered and their energy eigen values as well as their corresponding eigen functions were obtained for both relativistic and non-relativistic scope.},
     year = {2017}
    }
    

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    AB  - The Dirac equation was solved for the Manning-Rosen plus Hellmann 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, the energy eigenvalue equation and the corresponding eigenfunctions were obtained in closed form by using the Nikiforov-Uvarov method. Also Special cases of the potential have been considered and their energy eigen values as well as their corresponding eigen functions were obtained for both relativistic and non-relativistic scope.
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