Superpartner States in Quantum Mechanics of Colored Particle

TL;DR

This paper investigates the supersymmetric structure of colored particles in a chromomagnetic field, providing exact solutions for their wave functions and analyzing superpartner states within quantum mechanics.

Contribution

It introduces a novel analysis of superpartner states for colored particles in external chromomagnetic fields, including exact solutions and supersymmetry algebra in three dimensions.

Findings

Exact solutions to the squared Dirac equation for colored particles.

Explicit expressions for superpartner wave functions.

Analysis of supersymmetry algebra in three-dimensional motion.

Abstract

Superpartner correspondence of states of colored particle in external chromomagnetic field given by non-commuting constant vector potentials is determined. Squared Dirac equation for this particle is solved exactly and explicit expressions of superpartner states are found. The wave functions of states with definite energy are found. Supersymmetry algebra and superpartner states in three dimensional motion case are considered.