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

Louis Hitler; Benedict Iserom Ita; Ozioma Udochuku Akakuru; Thomas Odey Magu; Innocent Joseph; Pigweh Amos Isa

doi:doi:10.11648/j.ijamtp.20170304.14

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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

Louis Hitler, Benedict Iserom Ita, Ozioma Udochuku Akakuru, Thomas Odey Magu, Innocent Joseph, Pigweh Amos Isa

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 3, Issue 4)

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), 2024. Published by Science Publishing Group

Keywords

Schrodinger, Kratzer, Deng-Fan, Eigen Energy

References

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[2]	Louis H., Ita B. I., Nelson N. A., I. Joseph., Amos P. I and Magu T. O…International Research Journal Of Pure and Applied Physics. Vol. 5, No. 3, pp 27-32, 2017.
[3]	Sameer M. Ikhdairand Ramazan(2008). 10.2478/s11534-008-0018-0.
[4]	Sameer M. Ikhdair and Ramazan Sever (2009): Int. J. Mod. Phys. C 20 (1) (2009).
[5]	Philip .M. Morse (1929): Phys. Rev. 34, 57 – Published 1 July 1929.
[6]	N. Rosen and Philip M. Morse (1932 Phys. Rev. 42, 210 – Published 15 October 1932.
[7]	B. I. Ita, H. Louis, T. O. Magu and N. A. Nzeata-Ibe (2017. WSN 74 (2017) 280-287.
[8]	H. Louis, B. I. Ita, T. O. Magu and N. A Nzeata-Ibe (2017. World scientific news, WSN 70(2) (2017) 312-319.
[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.
[11]	B. I. Ita, B. E. Nyong, N. O. Alobi, H. Louis and T. O. Magu (2016):. Equatorial Journal of Computational and Theoretical Sciemces, Volume 1, Issue 1, (2016), pp. 55-64.
[12]	B. I. Ita, A. I. Ikeuba, H. Louis and P. Tchoua (2015. Journal of Theoretical Physics and Cryptography. IJTPC, Vol. 10, December, 2015.www.IJTPC.org
[13]	Z. H. Deng and Y. P. Fan, Shandong Univ. J. 7, 162 (1957).
[14]	S. H. Dong, Factorization Method in Quantum Mechanics (Fundamental Theoriesin Physics, 150, Springer, Netherlands, 2007).
[15]	L. H. Zhang, X. P. Li and C. S. Jia, Int. J. Quant. Chem. 111, 1870 (2010).
[16]	Louis H., Nzeata-Ibe N. A., Ita B. I., Joseph I., Isa P. A., Magu T. O: World Journal of Applied Physics, Vol. 2, N0. 5, 2017, pp. 77-84. doi: 10.11648/j.wjap.20170205.13
[17]	Yan-Fu Cheng and Tong-Qing Dai (2007. Phys. Scr. 75 274.

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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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TY  - JOUR
T1  - Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method
AU  - Louis Hitler
AU  - Benedict Iserom Ita
AU  - Ozioma Udochuku Akakuru
AU  - Thomas Odey Magu
AU  - Innocent Joseph
AU  - Pigweh Amos Isa
Y1  - 2017/12/21
PY  - 2017
N1  - https://doi.org/10.11648/j.ijamtp.20170304.14
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
SP  - 97
EP  - 100
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20170304.14
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

Louis Hitler

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
Benedict Iserom Ita

Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University oF Calabar, Calabar, Nigeria
Ozioma Udochuku Akakuru

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

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
Pigweh Amos Isa

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

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Plain Text BibTeX RIS

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}
}

Copy | Download

TY  - JOUR
T1  - Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method
AU  - Louis Hitler
AU  - Benedict Iserom Ita
AU  - Ozioma Udochuku Akakuru
AU  - Thomas Odey Magu
AU  - Innocent Joseph
AU  - Pigweh Amos Isa
Y1  - 2017/12/21
PY  - 2017
N1  - https://doi.org/10.11648/j.ijamtp.20170304.14
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
SP  - 97
EP  - 100
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20170304.14
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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