Skip to main content
SpringerLink
Log in

Klein–Gordon Equation and Nonrelativistic Thermodynamic Properties with Improved Screened Kratzer Potential

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

By employing the concept of the newly proposed Nikiforov-Uvarov functional analysis (NUFA) method, we solved the Klein–Gordon equation with the improved screened Kratzer potential (ISKP) model. The analytical expressions of the energy eigensolutions and numerical results were obtained for different diatomic molecules, both at the relativistic and nonrelativistic limits. Variation of the energy eigenvalues with potential parameters and quantum numbers was also discussed. In addition, the effects of temperature and upper bound vibration quantum number on the vibrational partition function and other thermodynamic functions have been discussed. Different special cases have been obtained from the ISKP, which correspond to the results in literatures. It was observed that the control parameter of ISKP has a great effect on the energy eigenvalues obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Y.J. Xiao, Z.W. Long, Commun. Theor. Phys. 53, 54 (2010)

    ADS  Google Scholar 

  2. P.A. Sharma, R. Gupta, A. Kumar, Int. J. Quant. Chem. 117(11), e25368 (2017). https://doi.org/10.1002/qua.25368

    Article  Google Scholar 

  3. P.O. Amadi, A.N. Ikot, A.T. Ngiangia, U.S. Okorie, G.J. Rampho, H.Y. Abdullah, Int. J. Quant. Chem. (2020). https://doi.org/10.1002/qua.26246

    Article  Google Scholar 

  4. O. Olendski, Phys. Lett. A 383, 1110 (2019)

    ADS  Google Scholar 

  5. N. Aquino, A. Flores-Riveros, J.F. Rivas-Silva, Phys. Lett. A 377, 2062 (2013)

    ADS  MathSciNet  Google Scholar 

  6. U.S. Okorie, A.N. Ikot, M.C. Onyeaju, E.O. Chukwuocha, Rev. Mex. de Fis. 64, 608 (2018)

    Google Scholar 

  7. C.-S. Jia, X.-T. You, J.-Y. Liu, L.-H. Zhang, X.-L. Peng, Y.-T. Wang, L.-S. Wei, Chem. Phys. Lett. 717, 16 (2019)

    ADS  Google Scholar 

  8. A.N. Ikot, B.C. Lutfuoglu, M.I. Ngwueke, M.E. Udoh, S. Zare, H. Hassanabadi, Eur. Phys. J. Plus 131, 419 (2016)

    Google Scholar 

  9. M. Abu-Shady, A.N. Ikot, Eur. Phys. J. Plus 134, 321 (2019)

    Google Scholar 

  10. A. Al-Jamel, Int. J. Mod. Phys. A 34, 1950054 (2019)

    ADS  Google Scholar 

  11. S. Flugge, Practical Quantum Mechanics (Springer, Birlin, 1974)

    MATH  Google Scholar 

  12. L.D. Landau, E.M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory (Pergamon, New York, 1977)

    MATH  Google Scholar 

  13. A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhauser:Basel) (Birkhäuser Boston, Boston, 1988)

    MATH  Google Scholar 

  14. A.N. Ikot, E. Maghsoodi, S. Zarrinkamar, H. Hassanabadi, J. Theor. Appl. Phys. 7, 53 (2013)

    Google Scholar 

  15. A.N. Ikot, O.A. Awoga, A.D. Antia, Chin. Phys. B 22, 020304 (2013)

    Google Scholar 

  16. Z.Q. Ma, A. Gonzalez-Cisneros, B.W. Xu, S.H. Dong, Phys. Lett. A 371, 180 (2007)

    ADS  MathSciNet  Google Scholar 

  17. E. Olgar, Chin. Phys. Lett. 26, 020302 (2009)

    Google Scholar 

  18. Y.F. Diao, L.Z. Yi, C.S. Jia, Phys. Lett. A 332, 157 (2004)

    ADS  Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

  20. A.N. Ikot, E. Maghsoodi, S. Zarrinkamar, N. Salehi, H. Hassanabadi, Int. J. Mod. Phys. E 22, 1350052 (2013)

    ADS  Google Scholar 

  21. Ikot et al. Submitted for publication.

  22. W.C. Qiang, S.H. Dong, Euro. Phys. Lett. 89, 10003 (2010)

    ADS  Google Scholar 

  23. A.Z. Tang, F.T. Chan, Phys. Rev. A 35, 911 (1987)

    ADS  Google Scholar 

  24. P.M. Stevenson, Phys. Rev. D 23, 2916 (1981)

    ADS  Google Scholar 

  25. J.M. Cai, P.Y. Cai, A. Inomata, Phys. Rev. A 34, 4621 (1986)

    ADS  MathSciNet  Google Scholar 

  26. V.H. Badalov, H.I. Ahmadov, S.V. Badalov, Int. J. Mod. Phys. E 19, 1463 (2010)

    ADS  Google Scholar 

  27. S. Ortakaya, Commun. Theor. Phys. 59, 689 (2013)

    MathSciNet  Google Scholar 

  28. C.S. Jia, T. Chen, S. He, Phys. Lett. A 377, 682 (2013)

    ADS  MathSciNet  Google Scholar 

  29. W.C. Qiang, Chin. Phys. 13, 575 (2004)

    Google Scholar 

  30. A.N. Ikot, L.E. Akpabio, E.J. Uwah, Elect. J. Theor. Phys. 8, 225 (2011)

    Google Scholar 

  31. H. Egrifes, S. Sever, Int. J. Theor. Phys. 46, 935 (2007)

    Google Scholar 

  32. A.D. Antia, A.N. Ikot, I.O. Akpan, O.A. Awoga, Ind. J. Phys. 87, 155 (2013)

    Google Scholar 

  33. A.D. Antia, A.N. Ikot, H. Hassanabadi, E. Maghsoodi, Ind. J. Phys. 87, 1133 (2013)

    Google Scholar 

  34. A.N. Ikot, U.S. Okorie, R. Sever, G.J. Rampho, Eur. Phys. J. Plus 134, 386 (2019)

    Google Scholar 

  35. K.R. Purohit, R.H. Parmar, A.K. Rai, Eur. Phys. J. Plus 135, 286 (2020)

    Google Scholar 

  36. T. Chen, S.R. Lin, C.S. Jia, Eur. Phys. J. Plus 128, 69 (2013)

    Google Scholar 

  37. J.Y. Liu, J.Y. Du, C.S. Jia, Eur. Phys. J. Plus 128, 139 (2013)

    Google Scholar 

  38. U.S. Okorie, A.N. Ikot, C.O. Edet, I.O. Akpan, R. Sever, G.J. Rampho, J. Phys. Commun. 3, 095015 (2019)

    Google Scholar 

  39. S. Miraboutalebi, Eur. Phys. J. Plus 135, 16 (2020)

    Google Scholar 

  40. E.A. Etoga, J.M.M. Ema’a, P.E. Abiama, G.H. Ben-Bolie, Mod. Phys. Lett. A 2050080, 1 (2019)

    Google Scholar 

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

    Google Scholar 

  42. M. Abramowitz, I.A.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1972)

    MATH  Google Scholar 

  43. S.H. Dong, Wave Equation in Higher Dimensions (Springer, Berlin, 2011)

    Google Scholar 

  44. C.S. Jia, L.H. Zhang, J.Y. Lin, Eur. Phys. J. Plus 131, 2 (2016)

    Google Scholar 

  45. A.N. Ikot, H. Hassanabadi, H.P. Obong, N. Salehi, O.S. Thomas, Ind. J. Phys. 89, 649 (2015)

    Google Scholar 

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

    ADS  Google Scholar 

  47. U.S. Okorie, A.N. Ikot, E.O. Chukwuocha, G.J. Rampho, Results in Phys. 17, 103078 (2020)

    Google Scholar 

  48. U.S. Okorie, A.N. Ikot, E.O. Chukwuocha, M.C. Onyeaju, P.O. Amadi, M.J. Sithole, G.J. Rampho, Int. J. ThermoPhys. 41, 91 (2020)

    ADS  Google Scholar 

  49. C.A. Onate, M.C. Onyeaju, U.S. Okorie, A.N. Ikot, Results in Phys. 16, 102950 (2020)

    Google Scholar 

  50. C.S. Jia, C.W. Wang, L.H. Zhang, X.L. Peng, R. Zeng, X.T. You, Chem. Phys. Lett. 676, 150 (2017)

    ADS  Google Scholar 

  51. K. Chabi, A. Boumali, Rev. Mex. De Fis. 66, 110 (2020)

    Google Scholar 

  52. R.R.S. Oliveira, A.A.A. Filho, F.C.E. Lima, R.V. Maluf, C.A.S. Almeida, Eur. Phys. J. Plus 134, 495 (2019)

    Google Scholar 

  53. R.R.S. Oliveira, A.A.A. Filho, Eur. Phys. J. Plus 135, 99 (2019)

    Google Scholar 

  54. B.C. Lutfuoglu, J. Kriz, Eur. Phys. J. Plus 134, 60 (2019)

    Google Scholar 

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

    ADS  Google Scholar 

  56. S.M. Ikhdair, R. Sever, J. Math. Chem. 45, 1137 (2009)

    MathSciNet  Google Scholar 

  57. I. Nasser, M.S. Abdelmonem, H. Bahlouli, A. Alhaidar, J. Phys. B 40, 4245 (2007)

    ADS  Google Scholar 

  58. A.K. Roy, Int. J. Quant. Chem. 114, 383 (2014)

    Google Scholar 

  59. B.J. Falaye, S.M. Ikhdair, M. Hamzavi, J. Theor. Appl. Phys. 9, 151 (2015)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of South Africa, Florida, Johannesburg, 1710, South Africa

    A. N. Ikot & G. J. Rampho

  2. Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria

    A. N. Ikot, U. S. Okorie, P. O. Amadi & C. O. Edet

  3. Department of Physics, Akwa Ibom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria

    U. S. Okorie

  4. Department of Physics, University of Calabar, Calabar, Nigeria

    I. O. Akpan

  5. Physics Education Department, Faculty of Education, Tishk International University, Erbil, 44001, Iraq

    H. Y. Abdullah

  6. Department of Physics, College of Science, Sultan Qaboos University, Al-Khod, P.O. Box 36, P. C. 123, Muscat, Sultanate of Oman

    R. Horchani

Authors
  1. A. N. Ikot
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. U. S. Okorie
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. J. Rampho
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. P. O. Amadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. C. O. Edet
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. I. O. Akpan
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. H. Y. Abdullah
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. R. Horchani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. N. Ikot.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ikot, A.N., Okorie, U.S., Rampho, G.J. et al. Klein–Gordon Equation and Nonrelativistic Thermodynamic Properties with Improved Screened Kratzer Potential. J Low Temp Phys 202, 269–289 (2021). https://doi.org/10.1007/s10909-020-02544-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-020-02544-w

Keywords

Search

Navigation