Supersymmetry and a Time-Dependent Landau System

Details Supersymmetry and a Time-Dependent Landau System Supersymmetry and a Time-Dependent Landau System

1993-03-10

arxiv.org/abs/hep-th/9303068v2

Phys.Rev.A48:951-963,1993

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, submitted to Phys. Rev. A, LaTeX, IUHET 243 and LA-UR-93-206

Scientific paper

10.1103/PhysRevA.48.951

A general technique is outlined for investigating supersymmetry properties of a charged spin-$\half$ 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 Schr\"odinger equations and obtain eigensolutions. The supercoherent states for this system are constructed.

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