Direct proof of integrability of Calogero–Moser model
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Publication:4701677
DOI10.1063/1.532534zbMath0986.81120OpenAlexW2007872348MaRDI QIDQ4701677
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532534
Calogero-Moser modelintegrals of motionquantum integrabilityinvolutivenessCalogero-Moser-Sutherland model
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Many-body theory; quantum Hall effect (81V70)
Cites Work
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Three integrable Hamiltonian systems connected with isospectral deformations
- Completely integrable Hamiltonian systems connected with semisimple Lie algebras
- Applications of the collective field theory for the Calogero-Sutherland model
- \(R\)-matrices for elliptic Calogero-Moser models
- Integrability and algebraic structure of the quantum Calogero-Moser model
- Algebra of one-particle operators for the Calogero model
- ON THE W-ALGEBRA IN THE CALOGERO–SUTHERLAND MODEL USING EXCHANGE OPERATORS
- Integrability and a Solution for the One-Dimensional N-Particle System with Inversely Quadratic Pair Potentials
- HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID
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