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Approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential with the centrifugal term

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Abstract

The approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential are obtained using the parametric Nikiforov–Uvarov method. By the use of a suitable approximation to deal with the centrifugal term, we obtained analytical expressions of the eigenvalues and corresponding wave functions. Numerical results of the energy eigenvalue are presented. Also, special cases of this potential are discussed and their energy eigenvalues evaluated.

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This manuscript has associated data in a data repository. [Authors’ comment: All data included in this manuscript are available upon request by contacting with the corresponding author]”.

References

  1. A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhauser, Basel, 1988)

    Book  Google Scholar 

  2. H. Hassanabadi, B.H. Yazarloo, L.L. Lu, Chin. Phys. Lett. 29, 020303 (2012)

    Article  ADS  Google Scholar 

  3. A.N. Ikot, I.O. Akpan, T.M. Abbey, H. Hassanabadi, Commun. Theor. Phys. 66, 569 (2016)

    Article  Google Scholar 

  4. K.J. Oyewumi, O.J. Oluwadare, K.D. Sen, O.A. Babalola, J. Math. Chem. 51, 976 (2015)

    Article  Google Scholar 

  5. C.A. Onate, M.C. Onyeaju, A.N. Ikot, Ann. Phys. 375, 239 (2016)

    Article  ADS  Google Scholar 

  6. S.H. Dong, Factorization Method in Quantum Mechanics (Springer, Netherlands, 2007)

    Book  Google Scholar 

  7. B.J. Falaye, S.M. Ikhdair, M.J. Hamzavi, Math. Chem. 53, 1325 (2015)

    Article  MathSciNet  Google Scholar 

  8. S.M. Ikhdair, J.A. Hasna, Phys. Scr. 83, 025002 (2011)

    Article  ADS  Google Scholar 

  9. B.J. Falaye, S.M. Ikhdair, M. Hamzavi, Z für Naturforsch A 70, 85 (2015)

    Article  ADS  Google Scholar 

  10. X.Y. Gu, S.H. Dong, Z.Q. Ma, J. Phys. A Math. Theor. 42, 035303 (2009)

    Article  ADS  Google Scholar 

  11. O. Bayrak, I. Boztosun, Phys. Scr. 76, 92 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  12. B.J. Falaye, Cent. Eur. J. Phys. 10, 960 (2012)

    Google Scholar 

  13. O. Bayrak, I. Boztosun, H. Ciftci, Int. J. Quant. Chem. 107, 540 (2007)

    Article  ADS  Google Scholar 

  14. K.J. Oyewumi, B.J. Falaye, C.A. Onate, O.J. Oluwadare, W.A. Yahya, Mol. Phys. 112, 127 (2014)

    Article  ADS  Google Scholar 

  15. H. Hassanabadi, B.H. Yazarloo, S. Zarrinkamar, H. Rahimov, Commun. Theor. Phys. 57, 339 (2012)

    Article  ADS  Google Scholar 

  16. Z. Scharifi, F. Tajic, M. Hamzavi, S.M. Ikhdair, Z für Naturforsch A 70, 499 (2015)

    Article  ADS  Google Scholar 

  17. S. Zarrinkamar, H. Panahi, M. Rezaci, M. Baradaran, Few-Body Syst. 51, 109 (2016)

    Article  ADS  Google Scholar 

  18. C.A. Onate, M.C. Onyeaju, A.N. Ikot, J.O. Ojonubah, Chin. J. Phys. 54, 820 (2016)

    Article  Google Scholar 

  19. F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  20. M. Eshghi, H. Mehraban, S.M. Ikhdair, Pram. J. Phys. 88, 73 (2017)

    Article  Google Scholar 

  21. A.N. Ikot, H.P. Obong, H. Hassanabadi, Few-Body Syst. 56, 185 (2015)

    Article  ADS  Google Scholar 

  22. S. Zarrinkamar, A.A. Rajabi, H. Hassanabadi, Ann. Phys. 325, 2522 (2010)

    Article  ADS  Google Scholar 

  23. C.A. Onate, J.O. Ojonubah, J. Theor. Appl. Phys. 10, 21 (2016)

    Article  ADS  Google Scholar 

  24. B.J. Falaye, S.M. Ikhdair, M. Hamzavi, Few-Body Syst. 56, 63 (2015)

    Article  ADS  Google Scholar 

  25. C.P. Onyenegecha, C.A. Onate, O.K. Echendu, A.A. Ibe, H. Hassanabadi, Eur. Phys. J. Plus 135, 289 (2020)

    Article  Google Scholar 

  26. H. Hassanabadi, A.N. Ikot, C.P. Onyenegecha, S. Zarrinkamar, Ind. J. Phys. 91, 1103 (2017)

    Article  Google Scholar 

  27. H. Hassanabadi, B.H. Yazarloo, A.N. Ikot, N. Salehi, S. Zarrinkamar, Ind. J. Phys. 87, 1219 (2013)

    Article  Google Scholar 

  28. N. Hatami, J. Naji, M. Pananch, Eur. Phys. J. Plus 90, 134 (2019)

    Google Scholar 

  29. S. Zarrinkamar, A.A. Rajabi, H. Hassanabadi, Few-Body Syst. 52, 165 (2012). https://doi.org/10.1007/s00601-011-0272-3

    Article  ADS  Google Scholar 

  30. F. Yasuk, C. Berkdemir, A. Berkdemir, C. Onem, Phys. Scr. 71, 340 (2005)

    Article  ADS  Google Scholar 

  31. H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov, Mod. Phys. Lett. A 26, 2703 (2011)

    Article  ADS  Google Scholar 

  32. C. Tezcan, R. Sever, Int. J. Theor. Phys. 48, 337 (2009)

    Article  Google Scholar 

  33. A.N. Ikot, Chin. Phys. Lett. 29, 060307 (2012)

    Article  Google Scholar 

  34. R.L. Greene, C. Aldrich, Phys. Rev. A 14, 2363 (1976)

    Article  ADS  Google Scholar 

  35. H. Hassanabadi, B.H. Yazarloo, S. Zarrinkamar, M. Solaimani, Int. J. Quant. Chem. 112, 3706 (2012)

    Article  Google Scholar 

  36. W. Hua, Phys. Rev. A 42, 2524 (1990)

    Article  ADS  Google Scholar 

  37. M. Hamzavi, A.A. Rajabi, H. Hassanabadi, Mol. Phys. 110, 389 (2012)

    Article  ADS  Google Scholar 

  38. G.F. Wei, S.H. Dong, V.B. Bezerra, Int. J. Mod. Phys. A 24, 161 (2009)

    Article  ADS  Google Scholar 

  39. W.C. Qiang, J.Y. Wu, S.H. Dong, Phys. Scr. 79, 065011 (2009)

    Article  ADS  Google Scholar 

Download references

Acknowledgement

The authors wish to give their sincere gratitude to the referee for his kind comments which improved the manuscript.

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Authors and Affiliations

  1. Department of Physics, Federal University of Technology, Owerri, Nigeria

    C. P. Onyenegecha, U. M. Ukewuihe, C. J. Okereke & I. J. Njoku

  2. Department of Geology, Federal University of Technology, Owerri, Nigeria

    A. I. Opara

  3. Department of Mathematics, Federal University of Technology, Owerri, Nigeria

    N. R. Ugochukwu

  4. Department of Physics/Electronics, Federal Polytechnic Nekede, Owerri, Nigeria

    C. B. Agbakwuru

  5. Department of Computer Science, Federal University of Technology, Owerri, Nigeria

    S. A. Okolie

Authors
  1. C. P. Onyenegecha
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  2. U. M. Ukewuihe
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  3. A. I. Opara
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  4. C. B. Agbakwuru
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  5. C. J. Okereke
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  8. I. J. Njoku
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Each named author has substantially contributed in (a) conception and design of the manuscript; (b) drafting the article or revising it critically for important intellectual content; and (c) approval of the final version.

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Correspondence to C. P. Onyenegecha.

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The authors wish to state that they have no competing interests. This manuscript has not been previously published and is not currently under consideration by any other journals.

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Onyenegecha, C.P., Ukewuihe, U.M., Opara, A.I. et al. Approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential with the centrifugal term. Eur. Phys. J. Plus 135, 571 (2020). https://doi.org/10.1140/epjp/s13360-020-00595-2

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00595-2

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