Noncommuting coordinates in the Hall effect and in vortex dynamics
نویسنده
چکیده
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.
منابع مشابه
Non-commuting coordinates in vortex dynamics and in the Hall effect related to “exotic” Galilean symmetry
Vortex dynamics in a thin superfluid 4He 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. 1 ...
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