Exotic galilean symmetry and non-commutative mechanics in mathematical & in condensed matter physics

Details Exotic galilean symmetry and non-commutative mechanics in mathematical & in condensed matter physics Exotic galilean symmetry and non-commutative mechanics in mathematical & in condensed matter physics

2006-02-14

arxiv.org/abs/hep-th/0602133v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. Talk given at the Int. Conf. on Noncommutative Geometry and Quantum Physics. Kolkata, Jan. 2006. Order of authors in

Scientific paper

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 anomalous/spin/optical Hall effects.

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