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

C. Duval·P. A. Horvathy
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Abstract

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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C. Duval, P. A. Horvathy. 2004-12-23. Non-commuting coordinates, exotic particles, & anomalous anyons in the Hall effect. https://doi.org/10.1007/s11232-005-0116-8

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