Noncommuting coordinates in the Hall effect and in vortex dynamics

Details Noncommuting coordinates in the Hall effect and in vortex dynamics Noncommuting coordinates in the Hall effect and in vortex dynamics

2003-07-18

arxiv.org/abs/hep-th/0307175v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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