“Composite particles” and the eigenstates of Calogero–Sutherland and Ruijsenaars–Schneider

DOI10.1063/1.1286050zbMath0971.81197arXivcond-mat/9907411OpenAlexW3101958108MaRDI QIDQ2738249

M. C. Bergère

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9907411

zbMATH Keywords

Young tableauxfractional quantum Hall effectbosonizationcreation operatorsmomentum space representationposition spaceJain seriesquasiparticle or quasihole

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Cites Work

• A new class of integrable systems and its relation to solitons
• Yangian Gelfand-Zetlin bases, \({\mathfrak gl}_N\)-Jack polynomials and computation of dynamical correlation functions in the spin Calogero-Sutherland model
• Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
• Character and TBA for an ideal \(g\)-on gas
• Fermionic sum representations for conformal field theory characters
• CONFORMAL FIELD THEORIES WITH ADDITIONAL Z_N SYMMETRY
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• A CONFORMAL FIELD THEORY DESCRIPTION OF THE PAIRED AND PARAFERMIONIC STATES IN THE QUANTUM HALL EFFECT
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction

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