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Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential

  • A. N. IkotEmail author
  • U. S. Okorie
  • R. Sever
  • G. J. Rampho
Regular Article
  • 16 Downloads

Abstract.

Within the framework of non-relativistic quantum mechanics via the Nikiforov-Uvarov (NU) method, we obtained the energy eigenvalues and the corresponding normalized eigenfunctions of a newly proposed screened Kratzer potential for lithium hydride (LiH) and hydrogen chloride (HCl) diatomic molecules. With the help of the Hellman-Feynman theorem, the expressions for the expectation values of the square of inverse of position, \( r^{-2}\) , inverse of position, \( r^{-1}\) , kinetic energy, T , and square of momentum, \( p^2\) , and their respective numerical values for the selected diatomic molecules are presented. The vibrational partition function and other thermodynamic functions are also obtained in closed form for the diatomic molecules, using the energy eigenvalues. The results obtained clearly agree with the previously obtained results in the literature.

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Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • A. N. Ikot
    • 1
    Email author
  • U. S. Okorie
    • 2
  • R. Sever
    • 3
  • G. J. Rampho
    • 4
  1. 1.Department of Physics, Theoretical Physics GroupUniversity of Port HarcourtChobaNigeria
  2. 2.Department of PhysicsAkwaIbom State UniversityUyoNigeria
  3. 3.Department of PhysicsMiddle East Technical UniversityAnkaraTurkey
  4. 4.Department of PhysicsUniversity of South AfricaJohannesburgSouth Africa

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