Pseudoclassical supersymmetrical model for 2+1 Dirac particle

TL;DR

This paper introduces a novel pseudoclassical supersymmetrical model for a 2+1 dimensional Dirac particle, exploring various quantization methods that all yield the minimal quantum theory.

Contribution

It presents a new pseudoclassical supersymmetrical framework for 2+1D Dirac particles and analyzes multiple quantization approaches.

Findings

All quantization methods reproduce the minimal quantum theory.

The model provides a consistent classical-quantum correspondence.

Different quantization schemes are compatible with the same quantum outcome.

Abstract

A new pseudoclassical supersymmetrical model of a spinning particle in 2+1 dimensions is proposed. Different ways of its quantization are discussed. They all reproduce the minimal quantum theory of the particle.