Thermodynamic Properties and Bound State Solutions of Schrodinger Equation with Inversely Quadratic Yukawa/Attractive Coulomb Potential Plus a Modified Kratzer Potential

Abstract

In this paper, the energy spectra of the Inversely Quadratic Yukawa/ Attractive Coulomb Potential plus a Modified Kratzer Potential (IQYCFMP) are obtained using the formula method within the framework of non-relativistic quantum mechanics (Schrodinger Wave Equation). The energy spectra obtained was found to correspond with that obtained using WKB (Werner-Kramer-Brillouin). With the energy spectrum obtained the vibrational partition function is calculated in a closed form and is used to obtain an expression for other thermodynamic functions such as vibrational mean energy U, vibrational free energy F, vibrational entropy S, and vibrational specific capacity C for some diatomic molecules. The study reveals that the Inversely Quadratic Yukawa/ Attractive Coulomb Potential plus a Modified Kratzer Potential (IQYCFMP) can be used to predict the thermodynamic properties of diatomic molecules.