English

Supersymmetry and a Time-Dependent Landau System

High Energy Physics - Theory 2009-09-25 v2

Abstract

A general technique is outlined for investigating supersymmetry properties of a charged spin-\half\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.

Keywords

Cite

@article{arxiv.hep-th/9303068,
  title  = {Supersymmetry and a Time-Dependent Landau System},
  author = {V. Alan Kostelecký and V. I. Man'ko and Michael Martin Nieto and D. Rodney Truax},
  journal= {arXiv preprint arXiv:hep-th/9303068},
  year   = {2009}
}

Comments

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

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