The statistical properties of the Varshni potential model using modified factorization method

Abstract

We have solved the Schrodinger equation with Varshni potential model using the modified factorization method. By employing the Greene Aldrich approximation scheme and an appropriate transformation scheme, analytical expressions of the energy eigenvalues and its corresponding normalized eigenfunctions were obtained in terms of the hypergeometric function in closed form. Numerical results of the energy eigenvalues for different quantum states were computed at varying screening parameters and discussed. The effects of the Varshni potential model parameters on the energy eigenvalues have been evaluated. The analytical expression of the energy eigenvalues obtained have been used to obtain an expression for the ro-vibrational partition function and other thermodynamic functions for the Varshni potential model. The variation of the thermodynamic functions with temperature for different quantum states have been analyzed. Our results obtained promises to be relevant in different areas of studies including molecular and chemical physics.

Keywords: Varshni Potential, Modified factorization method, Energy eigenvalues, Partition function, Thermodynamic properties.