Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra
High Energy Physics - Theory
2007-05-23 v1
Abstract
It is known that non-commutative fluids used to model the Fractional Quantum Hall effect give Calogero--Moser systems. The group-theoretic description of these as reductions of free motion on type A Lie algebras leads directly to Laughlin wave functions. The Calogero--Moser models also parametrise the right ideals of the Weyl algebra, which can be regarded as labelling sources in the fluid.
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Cite
@article{arxiv.hep-th/0412285,
title = {Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra},
author = {K. C. Hannabuss},
journal= {arXiv preprint arXiv:hep-th/0412285},
year = {2007}
}
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