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

A. N. Ikot*, U. S. Okorie, G. J. Rampho, P. O. Amadi, C. O. Edet, I. O. Akpan, H. Y. Abdullah, R. Horchani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)269-289
Number of pages21
JournalJournal of Low Temperature Physics
Issue number3-4
Publication statusPublished - Feb 2021


  • Improved screened Kratzer potential
  • Klein–Gordon equation
  • Nikiforov-Uvarov functional analysis (NUFA) method
  • Thermodynamic functions
  • Vibrational partition function

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Materials Science(all)
  • Condensed Matter Physics

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