AIMpy: A Python code to solve Schrödinger-like equations with the asymptotic iteration method

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 Schrödinger-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.

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• Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation
• Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials
• An Alternative Treatment for Yukawa-Type Potentials
• An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems