The Quantum Calogero-Moser Model: Algebraic Structures

DOI10.1143/JPSJ.62.3035zbMath0972.37537MaRDI QIDQ4491657

Miki Wadati, Kazuhiro Hikami, Hideaki Ujino

Publication date: 26 July 2000

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

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (18)

Algebraic approach to the eigenstates of the quantum Calogero model confined in an external harmonic well ⋮ Quantum integrability and quantum groups ⋮ Algebra of Dunkl Laplace-Runge-Lenz vector ⋮ Integrable Systems with Long-Range Interactions,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Algebra, and Energy Spectrum ⋮ Topics in quantum integrable systems ⋮ Correspondence between conformal field theory and Calogero-Sutherland model ⋮ Integral representations of the Macdonald symmetric polynomials ⋮ From vertex operators to Calogero-Sutherland models ⋮ A time-discretized version of the Calogero-Moser model ⋮ Observable algebras for the rational and trigonometric Euler-Calogero-Moser models ⋮ Hidden symmetry of the quantum Calogero-Moser system ⋮ Exact Heisenberg operator solutions for multiparticle quantum mechanics ⋮ Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1 ⋮ Quadratic algebra associated with rational Calogero-Moser models ⋮ On R-matrix valued Lax pairs for Calogero–Moser models ⋮ How Calogero–Moser particles can stick together ⋮ KZ-Calogero correspondence revisited ⋮ The \(\text{SU}(\nu)\) Calogero spin system.

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