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

K. C. Hannabuss

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arXiv · hep-th/0412285

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

K. C. Hannabuss

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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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K. C. Hannabuss. 2004-12-23. Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra. https://arxiv.org/abs/hep-th/0412285

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