Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra
Abstract
Description
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.
plain TeX file 12pp
plain TeX file 12pp