Supersymmetry and a time-dependent Landau system

Abstract

A general technique is outlined for investigating supersymmetry properties of a charged spin-$\frac{1}{2}$ quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to provide a physical realization of a supersymmetric quantum-mechanical system. Group-theoretic methods are used to factorize the relevant Schrödinger equations and obtain eigensolutions. The supercoherent states for this system are constructed.