This article is cited in 12 papers

Noncommuting Coordinates, Exotic Particles, and Anomalous Anyons in the Hall Effect

C. Duval^ab, P. A. Horváthy<sup>c

a</sup> CNRS – Center of Theoretical Physics
^b Université du Sud Toulon-Var
^c Universite de Tours

Abstract: We review our previous “exotic” particle, together with the more recent anomalous anyon model (which has the arbitrary gyromagnetic factor $g$). The nonrelativistic limit of the anyon generalizes the exotic particle with $g=0$ to any $g$. In a planar electromagnetic field, the Hall effect becomes mandatory for all $g\neq2$ when the field takes some critical value.

Keywords: exotic Galilean symmetry, noncommuting coordinates, Hall effect.

DOI: 10.4213/tmf1828

 English version: Theoretical and Mathematical Physics, 2005, 144:1, 899–906

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