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Noncommuting coordinates in the Hall effect and in vortex dynamics

2003/07/18 by P. A. Horváthy, P. A. Horvathy, Horvathy, P. A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0307175

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

arxiv created 2003/07/18 · openalex publication_date 2003/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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