An alternative solution of Diatomic Molecules

TL;DR

This paper presents an alternative approach using the asymptotic iteration method to calculate eigenvalues and eigenfunctions for various diatomic molecule potentials in the radial Schrödinger equation, offering a new computational technique.

Contribution

It introduces a novel application of the asymptotic iteration method to solve for diatomic molecule potentials, providing an alternative to existing methods.

Findings

Successfully calculated eigenvalues and eigenfunctions for multiple potentials.

Demonstrated the effectiveness of the method for Mie, Kratzer-Fues, Coulomb, and Pseudoharmonic potentials.

Provides accurate results compared to traditional approaches.

Abstract

The spectrum of r-1 and r-2 type potentials of diatomic molecules in radial Schrodinger equation are calculated by using the formalism of asymptotic iteration method. The alternative method is used to solve eigenvalues and eigenfunctions of Mie potential, Kratzer-Fues potential, Coulomb potential, and Pseudoharmonic potential by determining the $\alpha, \beta, \gamma$ and $\sigma$ parameters.