Algebraic aspects of quantum Calogero models

DOI10.1142/9789812792303_0011zbMATH Open1097.33509OpenAlexW2329092184MaRDI QIDQ2736543

Yusuke Kato, Saburo Kakei

Publication date: 10 September 2001

Published in: Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812792303_0011

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Hypergeometric functions associated with root systems (33C67)

Related Items (9)

Algebraic approach to the eigenstates of the quantum Calogero model confined in an external harmonic well ⋮ Multiple algebraisations of an elliptic Calogero–Sutherland model ⋮ Title not available (Why is that?) ⋮ INTERACTING FAMILIES OF CALOGERO-TYPE PARTICLES AND SU(1,1) ALGEBRA ⋮ An algebraic study on the \(A_{N-1}\)- and \(B_ N\)-Calogero models with bosonic, fermionic and distinguishable particles. ⋮ Algebraic linearization of dynamics of Calogero type for any Coxeter group ⋮ Algebraic Approach in Unifying Quantum Integrable Models ⋮ Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7 ⋮ Integrability and algebraic structure of the quantum Calogero-Moser model

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