Thermal and optical properties of two molecular potentials

TL;DR

This paper investigates the thermodynamic and optical properties of molecules modeled by generalized Morse and Cusp potentials by solving the Schrödinger equation and analyzing temperature-dependent behaviors.

Contribution

It introduces a detailed analysis of thermodynamic functions and susceptibility for these molecular potentials using quantum mechanical solutions.

Findings

Calculated thermodynamic quantities like free energy, entropy, and specific heat.

Analyzed the temperature dependence of thermodynamic functions.

Determined susceptibility for two-level systems under external fields.

Abstract

We solve the Schr\"odinger wave equation for the generalized Morse and Cusp molecular potential models. In the limit of high temperature, at first, we need to calculate the canonical partition function which is basically used to study the behavior of the thermodynamic functions. Based on this, we further calculate the thermodynamic quantities such as the free energy, the entropy, the mean energy and the specific heat. Their behavior with the temperature has been investigated. In addition, the susceptibility for two level systems is also found by applying the incident time dependent field.