Anyon wave equations and the noncommutative plane
High Energy Physics - Theory
2010-04-05 v4 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.hep-th/0404137,
title = {Anyon wave equations and the noncommutative plane},
author = {Peter A. Horvathy and Mikhail S. Plyushchay},
journal= {arXiv preprint arXiv:hep-th/0404137},
year = {2010}
}
Comments
11 pages, typos corrected