Geodesic
Noncommuting Coordinates, Exotic Particles, and Anomalous Anyons in the Hall Effect
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 26-34

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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. 
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C. Duval; P. A. Horváthy. Noncommuting Coordinates, Exotic Particles, and Anomalous Anyons in the Hall Effect. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 26-34. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a2/