On the relation between the anyon and Calogero models

DOI10.1016/S0370-2693(01)00601-3zbMath1062.81563arXivcond-mat/9907239OpenAlexW2003105488WikidataQ127249084 ScholiaQ127249084MaRDI QIDQ5936899

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Publication date: 9 July 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9907239

zbMATH Keywords

configuration space dimensional reductionlowest Landau level projectionvanishing magnetic field limit

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items

THE PEIERLS SUBSTITUTION AND THE VANISHING MAGNETIC FIELD LIMIT ⋮ Exact results for the spectra of interacting bosons and fermions on the lowest Landau level ⋮ Mapping the Calogero model on the anyon model ⋮ Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials ⋮ Anyons, deformed oscillator algebras and projectors ⋮ DIMENSIONAL REDUCTION ON A SPHERE

Cites Work

• The Calogero model---anyonic representation, fermionic extension and supersymmetry
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle

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