Anyon wave equations and the noncommutative plane

Details Anyon wave equations and the noncommutative plane Anyon wave equations and the noncommutative plane

2004-04-20

arxiv.org/abs/hep-th/0404137v4

Phys.Lett. B595 (2004) 547-555

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, typos corrected

Scientific paper

10.1016/j.physletb.2004.05.043

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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