Exotic galilean symmetry in the non-commutative plane, and the Hall effect
نویسنده
چکیده
Quantum Mechanics in the non-commutative plane is shown to admit the “exotic” symmetry of the doubly-centrally-extended Galilei group. When coupled to a planar magnetic field whose strength is the inverse of the non-commutative parameter, the system becomes singular, and “Faddeev-Jackiw” reduction yields the “Chern-Simons” mechanics of Dunne, Jackiw, and Trugenberger. The reduced system moves according to the Hall law. hep-th/0106089 (Revised version)
منابع مشابه
Exotic Galilean Symmetry and Non-commutative Mechanics in Mathematical & in Condensed Matter Physics *
The " exotic " particle model with non-commuting position coordinates , associated with the two-parameter central extension of the planar Galilei group, can be used to derive the ground states of the Fractional Quantum Hall Effect. The relation to other NC models is discussed. Anomalous coupling is presented. Similar equations arise for a semiclassical Bloch electron, used to explain the anoma-...
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