The classical supersymmetric Coulomb problem
R. Heumann
TL;DR
This paper develops a general framework for supersymmetric classical mechanics in multiple dimensions, focusing on centrally symmetric potentials, and applies it to solve the supersymmetric Coulomb problem with a repulsive potential.
Contribution
It introduces a comprehensive model for supersymmetric classical mechanics and provides a novel solution to the supersymmetric Coulomb problem with a repulsive potential.
Findings
Established a Poisson algebra for supersymmetric systems
Solved the supersymmetric Coulomb problem explicitly
Extended classical mechanics to supersymmetric multi-dimensional systems
Abstract
After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1/|x| repulsive bosonic potential.
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