Non-commuting coordinates, exotic particles, & anomalous anyons in the Hall effect

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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A new reference added. Talk given by P. Horvathy at the International Workshop "Nonlinear Physics: Theory and Experiment. III.

Scientific paper

10.1007/s11232-005-0116-8

Our previous ``exotic'' particle, together with the more recent anomalous anyon model (which has arbitrary gyromagnetic factor $g$) are reviewed. The non-relativistic limit of the anyon generalizes the exotic particle which has $g=0$ to any $g$.When put into planar electric and magnetic fields, the Hall effect becomes mandatory for all $g\neq2$, when the field takes some critical value.

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