arXiv:hep-th/0404137 · Physics Letters B

Anyon wave equations and the noncommutative plane

P. A. Horváthy, Mikhail S. Plyushchay

Published Jun 22, 2004• 110 citations

Abstract

The “Jackiw–Nair” nonrelativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac–Majorana–Lévy-Leblond type for the “exotic” particle, associated with the two-fold central extension of the planar Galilei group. An infinite dimensional representation of the Galilei group is found. The velocity operator is studied, and the observable coordinates describing a noncommutative plane are identified.

DOI: 10.1016/j.physletb.2004.05.043

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