Exotic Galilean Symmetry and Non-commutative Mechanics in Mathematical & in Condensed Matter Physics *
نویسنده
چکیده
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-lous/spin/optical Hall effects.
منابع مشابه
Se p 20 06 Non - commutative mechanics in mathematical & in condensed matter physics ∗
Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics. Souriau's construction applied to the two-parameter central extension of the planar Galilei group lead to the " exotic " particle, which has non-commuting position coordinates. A Berry-phase argument applied to the Bloch electron yields in turn a semiclassical mod...
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