Bound state solutions with a linear combination of Yuakawa plus four-parameter diatomic potentials using path integral approach: Thermodynamic properties

TL;DR

This study derives approximate analytical solutions for bound states of diatomic molecules modeled by a combination of Yukawa and four-parameter potentials using path integral methods, and explores their thermodynamic properties.

Contribution

It introduces a novel approach combining Yukawa and four-parameter potentials with path integrals to analyze diatomic molecules' bound states and thermodynamics.

Findings

Energy spectra and wave functions derived analytically.

Partition function and thermodynamic properties calculated.

Approximate solutions validated for diatomic molecule models.

Abstract

In this paper, we investigate the approximate analytical bound states with a linear combination of two diatomic molecule potentials, Yukawa and four parameters potentials, within the framework of the path integral formalism. With the help of an appropriate approximation to evaluate the centrifugal term, the energy spectrum and the normalized wave functions of the bound states are derived from the poles of Green's function and its residues. The partition function and other thermodynamic properties were obtained using the compact form of the energy equation.