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Article Dans Une Revue Physics Letters B Année : 2004

Anyon wave equations and the noncommutative plane

Résumé

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.

Dates et versions

hal-00007548 , version 1 (17-07-2005)

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Peter A. Horvathy, Mikhail S. Plyushchay. Anyon wave equations and the noncommutative plane. Physics Letters B, 2004, 595, pp.547-555. ⟨hal-00007548⟩
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