Noncommuting coordinates, exotic particles, and anomalous anyons in the Hall effect

摘要

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 not equal 2 when the field takes some critical value.