A Python Class for Higher-Dimensional Schr\"odinger Equations

TL;DR

This paper introduces a Python class designed for numerically solving Schrödinger equations in multiple dimensions, leveraging recent PDE solution methods and scientific computing libraries to facilitate quantum physics simulations.

Contribution

The paper presents a new Python class that simplifies the numerical solution of multi-dimensional Schrödinger equations using modern PDE techniques and scientific computing tools.

Findings

Enables efficient numerical solutions for multi-dimensional Schrödinger equations.

Utilizes existing numerical PDE frameworks and scientific libraries.

Provides a practical tool for quantum physics research.

Abstract

We announce a Python class for numerical solution of Schr{\"o}dinger equations in one or more space dimensions, employing some recently developed general classes for numerical solution of partial differential equations, and routines from \texttt{numpy} and \texttt{scipy.sparse.linalg} (or \texttt{scipy.linalg} for smaller problems).