Thermodynamic properties and bound state solutions of Schrodinger equation with Mobius square plus screened-Kratzer potential using Nikiforov-Uvarov method

Abstract

In this work, we applied the Nikiforov-Uvarov (NU) method to calculate the bound state energies for two diatomic molecules such as Carbon(II)Oxide (CO) and Scandium Flouride (ScF) using a new potential model called Mobius Square Plus Screen Kratzer potential (MSPSKP). The bound state energies obtained numerically are in excellent agreement compared to the results obtained with the semi-classical WKB approximation approach. We extended the work to obtain the partition function and other thermodynamic properties of the diatomic molecules under the study using the resulting energy eigenvalue equation. The thermodynamic properties of these molecules produce excellent trends reported in the existing literature. The novel potential also reduces to Mobius square, Screened-Kratzer and the Kratzer potentials as special cases. The numerical results are in excellent agreement to existing literature.