Analytical Solutions of Schr\"odinger Equation for the diatomic molecular potentials with any angular momentum

TL;DR

This paper derives exact analytical solutions for the Schrödinger equation applied to diatomic molecular potentials with arbitrary angular momentum, providing explicit energy eigenvalues and wave functions using algebraic methods.

Contribution

It presents a novel algebraic approach to obtain exact solutions for diatomic molecular potentials with any angular momentum quantum number.

Findings

Exact energy eigenvalues derived for various potentials

Wave functions explicitly calculated

Asymptotic behavior of solutions analyzed

Abstract

Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.