Asymptotic Iteration and Variational Methods for Gaussian Potential

TL;DR

This paper applies asymptotic iteration and variational methods to solve the radial Schrödinger equation with a Gaussian potential, providing approximate energy eigenvalues that align well with existing research.

Contribution

It introduces combined asymptotic iteration and variational techniques for Gaussian potentials, offering a new approach to approximate solutions.

Findings

Energy eigenvalues obtained for various quantum numbers

Results agree well with previous studies

Demonstrates effectiveness of combined methods

Abstract

In this paper we studied approximate solutions of the radial Schr\"odinger equation with the attractive Gaussian potential. We used asymptotic iteration method and variational method in order to obtain energy eigenvalues for any $n$ and $l$ quantum numbers. Our results are in good agreement with the other studies.