2006/02/14 by P. A. Horvathy, Horvathy, P. A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/0602133
14 pages. Talk given at the Int. Conf. on Noncommutative Geometry and Quantum Physics. Kolkata, Jan. 2006. Order of authors in Ref. 11 corrected
arxiv created 2006/03/20 · arxiv updated 2009/12/01
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.