Noncommuting coordinates in the Hall effect and in vortex dynamics

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

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