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

Louis Hitler; Benedict Iserom Ita; Pigweh Amos Isa; Innocent Joseph; Nzeata-Ibe Nelson; Thomas Odey Magu; Opara Ivan

doi:doi:10.11648/j.wjap.20170204.12

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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

Louis Hitler, Benedict Iserom Ita, Pigweh Amos Isa, Innocent Joseph, Nzeata-Ibe Nelson, Thomas Odey Magu, Opara Ivan

Published in World Journal of Applied Physics (Volume 2, Issue 4)

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.

Published in	World Journal of Applied Physics (Volume 2, Issue 4)
DOI	10.11648/j.wjap.20170204.12
Page(s)	101-108
Creative Commons	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), 2017. 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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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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction
AU  - Louis Hitler
AU  - Benedict Iserom Ita
AU  - Pigweh Amos Isa
AU  - Innocent Joseph
AU  - Nzeata-Ibe Nelson
AU  - Thomas Odey Magu
AU  - Opara Ivan
Y1  - 2017/10/23
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170204.12
DO  - 10.11648/j.wjap.20170204.12
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 101
EP  - 108
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170204.12
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.
VL  - 2
IS  - 4
ER  -

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Author Information

Louis Hitler

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

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

Department of Chemistry, Modibbo Adama University of Technology Yola, Adamawa, Nigeria
Innocent Joseph

Department of Chemistry, Modibbo Adama University of Technology Yola, Adamawa, Nigeria
Nzeata-Ibe Nelson

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

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

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

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Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction
AU  - Louis Hitler
AU  - Benedict Iserom Ita
AU  - Pigweh Amos Isa
AU  - Innocent Joseph
AU  - Nzeata-Ibe Nelson
AU  - Thomas Odey Magu
AU  - Opara Ivan
Y1  - 2017/10/23
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170204.12
DO  - 10.11648/j.wjap.20170204.12
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 101
EP  - 108
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170204.12
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.
VL  - 2
IS  - 4
ER  -

Copy | Download