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arXiv · hep-th/0404137

Anyon wave equations and the noncommutative plane

Peter A. Horvathy·Mikhail S. Plyushchay
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Abstract

The ``Jackiw-Nair'' non-relativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Levy-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.

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Peter A. Horvathy, Mikhail S. Plyushchay. 2004-07-05. Anyon wave equations and the noncommutative plane. https://doi.org/10.1016/j.physletb.2004.05.043

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