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Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method

Received: 14 September 2017     Accepted: 18 October 2017     Published: 21 December 2017
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Abstract

The solutions of the Schrodinger equation with Kratzer plus Modified Deng-Fan potential have been obtained using the parametric Nikiforov-Uvarov (NU) method which is based on the solutions of general second-order linear differential equations with special functions. The bound state energy eigenvalues and the corresponding un-normalized eigen functions are obtained in terms of Jacobi polynomials. Also special cases of the potential have been considered and their energyeigen values obtained.

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 3, Issue 4)
DOI 10.11648/j.ijamtp.20170304.14
Page(s) 97-100
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

Schrodinger, Kratzer, Deng-Fan, Eigen Energy

References
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[9] B. I. Ita, B. E. Nyong., H. Louis, T. O. Magu (2017): J. Chem. Soc. Nigeria, Vol. 41, No. 2, pp21-26 [2017].
[10] H. Louis*, B. I. Ita., B. E. Nyong., T. O. Magu, S. Barka and N. A. Nzeata-Ibe (2016): Journal of Nigerian Association of Mathematical Physics vol.36, No. 2, (July, 2016) pp.193-198.
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Cite This Article
  • APA Style

    Louis Hitler, Benedict Iserom Ita, Ozioma Udochuku Akakuru, Thomas Odey Magu, Innocent Joseph, et al. (2017). Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method. International Journal of Applied Mathematics and Theoretical Physics, 3(4), 97-100. https://doi.org/10.11648/j.ijamtp.20170304.14

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    ACS Style

    Louis Hitler; Benedict Iserom Ita; Ozioma Udochuku Akakuru; Thomas Odey Magu; Innocent Joseph, et al. Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method. Int. J. Appl. Math. Theor. Phys. 2017, 3(4), 97-100. doi: 10.11648/j.ijamtp.20170304.14

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    AMA Style

    Louis Hitler, Benedict Iserom Ita, Ozioma Udochuku Akakuru, Thomas Odey Magu, Innocent Joseph, et al. Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method. Int J Appl Math Theor Phys. 2017;3(4):97-100. doi: 10.11648/j.ijamtp.20170304.14

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  • @article{10.11648/j.ijamtp.20170304.14,
      author = {Louis Hitler and Benedict Iserom Ita and Ozioma Udochuku Akakuru and Thomas Odey Magu and Innocent Joseph and Pigweh Amos Isa},
      title = {Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method},
      journal = {International Journal of Applied Mathematics and Theoretical Physics},
      volume = {3},
      number = {4},
      pages = {97-100},
      doi = {10.11648/j.ijamtp.20170304.14},
      url = {https://doi.org/10.11648/j.ijamtp.20170304.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20170304.14},
      abstract = {The solutions of the Schrodinger equation with Kratzer plus Modified Deng-Fan potential have been obtained using the parametric Nikiforov-Uvarov (NU) method which is based on the solutions of general second-order linear differential equations with special functions. The bound state energy eigenvalues and the corresponding un-normalized eigen functions are obtained in terms of Jacobi polynomials. Also special cases of the potential have been considered and their energyeigen values obtained.},
     year = {2017}
    }
    

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    AU  - Louis Hitler
    AU  - Benedict Iserom Ita
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    AU  - Thomas Odey Magu
    AU  - Innocent Joseph
    AU  - Pigweh Amos Isa
    Y1  - 2017/12/21
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    DO  - 10.11648/j.ijamtp.20170304.14
    T2  - International Journal of Applied Mathematics and Theoretical Physics
    JF  - International Journal of Applied Mathematics and Theoretical Physics
    JO  - International Journal of Applied Mathematics and Theoretical Physics
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    AB  - The solutions of the Schrodinger equation with Kratzer plus Modified Deng-Fan potential have been obtained using the parametric Nikiforov-Uvarov (NU) method which is based on the solutions of general second-order linear differential equations with special functions. The bound state energy eigenvalues and the corresponding un-normalized eigen functions are obtained in terms of Jacobi polynomials. Also special cases of the potential have been considered and their energyeigen values obtained.
    VL  - 3
    IS  - 4
    ER  - 

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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

  • 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

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