AIMpy: A Python code to solve Schr\"odinger-like equations with the asymptotic iteration method

TL;DR

AIMpy is an open-source Python tool that efficiently solves Schrödinger-like equations using the Asymptotic Iteration Method, validated through reproducing known eigenvalues.

Contribution

The paper introduces AIMpy, a new Python-based solver for Schrödinger-like equations utilizing AIM, providing an accessible and validated computational tool.

Findings

Successfully reproduces known eigenvalues

Demonstrates accuracy and reliability of AIMpy

Provides an open-source resource for quantum equation solving

Abstract

This paper is dedicated to present an open-source program so-called \emph{AIMpy} built on Python language. \emph{AIMpy} is a solver for Schr\"{o}dinger-like differential equations using Asymptotic Iteration Method (AIM). To confirm the code works seamlessly, it has been shown through the paper with recalculation of some previously studied eigenvalue examples that the code can reproduce their results very well.