Supersymmetric classical mechanics

TL;DR

This paper explores the classical dynamics of a supersymmetric system, highlighting the role of quasi-classical solutions in understanding both bosonic and fermionic degrees of freedom and their relevance to semi-classical quantum models.

Contribution

It introduces the concept of quasi-classical solutions to describe classical properties of supersymmetric systems, bridging classical and semi-classical quantum analyses.

Findings

Classical dynamics of bosonic and fermionic variables are fully described by quasi-classical solutions.

Quasi-classical solutions are crucial for semi-classical analysis of supersymmetric quantum models.

The study emphasizes the importance of these solutions in understanding supersymmetric classical mechanics.

Abstract

We study the classical properties of a supersymmetric system which is often used as a model for supersymmetric quantum mechanics. It is found that the classical dynamics of the bosonic as well as the fermionic degrees of freedom is fully described by a so--called quasi--classical solution. We also comment on the importance of this quasi--classical solution in the semi--classical treatment of the supersymmetric quantum model.