Non-commuting coordinates in vortex dynamics and in the Hall effect, related to "exotic" Galilean symmetry

Physics – High Energy Physics – High Energy Physics - Theory

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To appear in the proceedings of the International Workshop {\it Nonlinear Physics: Theory and Experiment.}{\rm II}. Gallipoli,

Scientific paper

Vortex dynamics in a thin superfluid ${}^4$He film as well as in a type II superconductor is described by the classical counterpart of the model advocated by Peierls, and used for deriving the ground states of the Fractional Quantum Hall Effect. The model has non-commuting coordinates, and is obtained by reduction from a particle associated with the ``exotic'' extension of the planar Galilei group.

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