English

Noncommuting coordinates in the Hall effect and in vortex dynamics

High Energy Physics - Theory 2007-05-23 v1

Abstract

Laughlin's Ansatz to explain the fractional Quantum Hall effect is derived by coupling a particle associated with ``exotic'' the two-fold central extension of the planar Galilei group. The reduced system is identical to the one used to describe the dynamics of vortices in an incompressible planar fluid.

Keywords

Cite

@article{arxiv.hep-th/0307175,
  title  = {Noncommuting coordinates in the Hall effect and in vortex dynamics},
  author = {P. A. Horvathy},
  journal= {arXiv preprint arXiv:hep-th/0307175},
  year   = {2007}
}

Comments

Talk given at the joint COSLAB-VORTEX-BEC2000+ Workshop. Bilbao, July'03