Integrability of the Cn and BCn Ruijsenaars–Schneider models

DOI10.1063/1.1323502zbMath0985.81051arXivhep-th/0006004OpenAlexW1941905581WikidataQ59438564 ScholiaQ59438564MaRDI QIDQ2731825

Kai Chen, Wen-Li Yang, Bo-Yu Hou

Publication date: 30 July 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0006004

zbMATH Keywords

nonrelativistic limitCalogero-Moser systemsLax pairsinvolutive Hamiltonianspotential of trigonometric and rational types

Mathematics Subject Classification ID

Model quantum field theories (81T10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items

Structures in BCN Ruijsenaars–Schneider models, Eigenvalues of Ruijsenaars–Schneider models associated with An−1 root system in Bethe ansatz formalism, ON THE INTEGRABILITY OF CLASSICAL RUIJSENAARS–SCHNEIDER MODEL OF BC₂ TYPE, Scattering theory of the hyperbolic \(BC_n\) Sutherland and the rational \(BC_n\) Ruijsenaars-Schneider-Van Diejen models, The Lax pairs for elliptic Cn and BCn Ruijsenaars–Schneider models and their spectral curves, On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system, On factorized Lax pairs for classical many-body integrable systems

Cites Work

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