# Introducing SU(3) color charge in undergraduate quantum mechanics

## TL;DR

This paper introduces a simplified framework for understanding SU(3) color charge dynamics in quantum mechanics, using toy models and visualizations suitable for undergraduates.

## Contribution

It presents a novel approach to modeling SU(3) color charge interactions with accessible tools and educational insights for undergraduate students.

## Key findings

- Effective two- and three-body interaction models for color charge.
- Visualization of complex color dynamics using VPython.
- Analytical and numerical analysis of a baryon-like system.

## Abstract

We present a framework for investigating effective dynamics of SU(3) color charge. Two- and three-body effective interaction terms inspired by the Heisenberg spin model are considered. In particular, a toy model for a three-source "baryon" is constructed and investigated analytically and numerically for various choices of interactions. VPython is used to visualize the nontrivial color charge dynamics. The treatment should be accessible to undergraduate students who have taken a first course in quantum mechanics, and suggestions for independent student projects are proposed.