Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra

Details Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra

2004-12-23

arxiv.org/abs/hep-th/0412285v1

Physics

High Energy Physics

High Energy Physics - Theory

plain TeX file 12pp

Scientific paper

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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