Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions

DOI10.1023/A:1004875625099zbMath0981.81076OpenAlexW40306470MaRDI QIDQ5942280

Yasushi Komori, Miki Wadati, Akinori Nishino, Hideaki Ujino

Publication date: 28 August 2001

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

Full work available at URL: https://doi.org/10.1023/a:1004875625099

zbMATH Keywords

Weyl groupCalogero modelDunkl-Cherednik operatorHi-Jack polynomialmultivariable Hermite polynomialRodrigues formulas

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Discrete version of topics in analysis (39A12) Hypergeometric functions (33C99)

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Symmetrization of Nonsymmetric Macdonald Polynomials and Macdonald's Inner Product Identities

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