Eur. Phys. J. Plus (2021) 136: 1153
https://doi.org/10.1140/epjp/s13360-021-02142-z

Regular Article

Klein–Gordon equation and thermodynamic properties with the Hua plus modified Eckart potential (HPMEP)

School of Physical Sciences, Federal University of Technology Owerri, Owerri, Nigeria

^a chibueze.onyenegecha@futo.edu.ng

Received: 31 July 2021
Accepted: 3 November 2021
Published online: 18 November 2021

Abstract

We apply the Nikiforov–Uvarov method to solve the Klein–Gordon equation with the Hua plus modified Eckart potential (HPMEP). The energy eigenvalues and corresponding wave functions are obtained analytically. We show that in the non-relativistic limit, the solution of Klein–Gordon equation reduces to that of Schrodinger equation. Special cases of HPMEP such as modified Eckart, Hua, Morse and Poschl–Teller Potentials are also reported. Furthermore, the partition function and other thermodynamic properties are studied for H₂, CO, NO and N₂ molecules.