World Journal of Applied Physics

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Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Quadratic Exponential-Type Potential Plus Eckart Potential and Yukawa-Like Tensor Interaction

Received: 02 August 2017    Accepted: 21 August 2017    Published: 07 September 2017
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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.

DOI 10.11648/j.wjap.20170203.13
Published in World Journal of Applied Physics (Volume 2, Issue 3, August 2017)
Page(s) 77-84
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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, Quadratic Exponential-Type Potential, Eckart 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, Nigeria

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

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

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

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

  • 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

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    Nzeata-Ibe Nelson, Benedict Iserom Ita, Innocent Joseph, Pigwe Isa Amos, Thomas Odey Magu, et al. (2017). 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, 2(3), 77-84. https://doi.org/10.11648/j.wjap.20170203.13

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    ACS Style

    Nzeata-Ibe Nelson; Benedict Iserom Ita; Innocent Joseph; Pigwe Isa Amos; Thomas Odey Magu, et al. Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Quadratic Exponential-Type Potential Plus Eckart Potential and Yukawa-Like Tensor Interaction. World J. Appl. Phys. 2017, 2(3), 77-84. doi: 10.11648/j.wjap.20170203.13

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    AMA Style

    Nzeata-Ibe Nelson, Benedict Iserom Ita, Innocent Joseph, Pigwe Isa Amos, Thomas Odey Magu, et al. Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Quadratic Exponential-Type Potential Plus Eckart Potential and Yukawa-Like Tensor Interaction. World J Appl Phys. 2017;2(3):77-84. doi: 10.11648/j.wjap.20170203.13

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  • @article{10.11648/j.wjap.20170203.13,
      author = {Nzeata-Ibe Nelson and Benedict Iserom Ita and Innocent Joseph and Pigwe Isa Amos and Thomas Odey Magu and Louis Hitler},
      title = {Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Quadratic Exponential-Type Potential Plus Eckart Potential and Yukawa-Like Tensor Interaction},
      journal = {World Journal of Applied Physics},
      volume = {2},
      number = {3},
      pages = {77-84},
      doi = {10.11648/j.wjap.20170203.13},
      url = {https://doi.org/10.11648/j.wjap.20170203.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.wjap.20170203.13},
      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.},
     year = {2017}
    }
    

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    T1  - Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Quadratic Exponential-Type Potential Plus Eckart Potential and Yukawa-Like Tensor Interaction
    AU  - Nzeata-Ibe Nelson
    AU  - Benedict Iserom Ita
    AU  - Innocent Joseph
    AU  - Pigwe Isa Amos
    AU  - Thomas Odey Magu
    AU  - Louis Hitler
    Y1  - 2017/09/07
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    N1  - https://doi.org/10.11648/j.wjap.20170203.13
    DO  - 10.11648/j.wjap.20170203.13
    T2  - World Journal of Applied Physics
    JF  - World Journal of Applied Physics
    JO  - World Journal of Applied Physics
    SP  - 77
    EP  - 84
    PB  - Science Publishing Group
    SN  - 2637-6008
    UR  - https://doi.org/10.11648/j.wjap.20170203.13
    AB  - 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.
    VL  - 2
    IS  - 3
    ER  - 

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