Supersymmetry and a Time-Dependent Landau System
V. Alan Kostelecký, V. I. Man'ko, Michael Martin Nieto, D. Rodney Truax
Abstract
A general technique is outlined for investigating supersymmetry properties of a charged spin- 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.
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