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; Benedict Iserom Ita; Innocent Joseph; Pigwe Isa Amos; Thomas Odey Magu; Louis Hitler

doi:doi:10.11648/j.wjap.20170203.13

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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

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

Published in World Journal of Applied Physics (Volume 2, Issue 3)

Received: 2 August 2017 Accepted: 21 August 2017 Published: 7 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.

Published in	World Journal of Applied Physics (Volume 2, Issue 3)
DOI	10.11648/j.wjap.20170203.13
Page(s)	77-84
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, Quadratic Exponential-Type Potential, Eckart Potential, Spin and Pseudospin Symmetry, Nikiforov-Uvarov Method

References

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APA Style

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://article.sciencepublishinggroup.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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TY  - JOUR
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
PY  - 2017
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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Author Information

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

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Plain Text BibTeX RIS

APA Style

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
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
PY  - 2017
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  -

Copy | Download