The Quantum Calogero Model and theW-Algebra

DOI10.1143/JPSJ.63.3585zbMath0972.81695OpenAlexW2088622510MaRDI QIDQ4491632

Miki Wadati, Hideaki Ujino

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.63.3585

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (4)

Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model ⋮ New nonsymmetric orthogonal basis for the Calogero model with distinguishable particles ⋮ Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model ⋮ On the bound states and correlation functions of a class of Calogero-type quantum many-body problems with balanced loss and gain

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