https://doi.org/10.1140/epjp/i2019-12783-x
Regular Article
Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential
1
Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria
2
Department of Physics, AkwaIbom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria
3
Department of Physics, Middle East Technical University, 06800, Ankara, Turkey
4
Department of Physics, University of South Africa, Florida 1710, Johannesburg, South Africa
* e-mail: ndemikotphysics@gmail.com
Received:
26
February
2019
Accepted:
24
May
2019
Published online:
12
August
2019
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, 
, inverse of position, 
, kinetic energy, T , and square of momentum, 
, 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.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
