2004/12/23 by K. C. Hannabuss, Keith Hannabuss, Hannabuss, K. C.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0412285
plain TeX file 12pp
arxiv created 2004/12/23 · openalex publication_date 2004/12/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.