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Anyon wave equations and the noncommutative plane

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arxiv hep-th/0404137 v4 pith:DUBENPBN submitted 2004-04-20 hep-th math-phmath.MP

Peter A. Horvathy , Mikhail S. Plyushchay This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords equationsanyongalileigroupnoncommutativeplanewaveassociated
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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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