Planar Supersymmetric Quantum Mechanics of a Charged Particle in an External Electromagnetic Field

TL;DR

This paper explores the supersymmetric quantum mechanics of a charged particle in two dimensions under external electromagnetic fields, using superfield formulation and analyzing both N=1 and N=2 supersymmetry cases.

Contribution

It introduces a superfield approach to supersymmetric quantum mechanics with electric and magnetic fields in (2+1) dimensions, including non-minimal coupling and electric interactions.

Findings

Superfield formulation effectively describes supersymmetric quantum mechanics in 2D.

Electric interactions are incorporated and analyzed within the supersymmetric framework.

Both N=1 and N=2 supersymmetry cases are systematically studied.

Abstract

The supersymmetric quantum mechanics of a two-dimensional non-relativistic particle subject to external magnetic and electric fields is studied in a superfield formulation and with the typical non-minimal coupling of (2+1) dimensions. Both the N=1 and N=2 cases are contemplated and the introduction of the electric interaction is suitably analysed.