Duality between the trigonometric \(\mathrm{BC}_n\) Sutherland system and a completed rational Ruijsenaars-Schneider-van Diejen system
type: Item
instance of: scholarly article
zbMATH Open document ID: 1366.70016
DOI: 10.1063/1.4898077
author: T. F. Görbe
author: L. Fehér
published in: Journal of Mathematical Physics
publication date: 2014-11-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1407.2057
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 6366339
MaRDI profile type: Publication
OpenAlex ID: W3098201362
arXiv ID: 1407.2057
cites work: Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals
cites work: Quantum versus classical integrability in Calogero$ndash$Moser systems
cites work: Differential equations in the spectral parameter
cites work: Calogero-Moser systems and representation theory
cites work: Action-angle map and duality for the open Toda lattice in the perspective of Hamiltonian reduction
cites work: Trigonometric Sutherland systems and their Ruijsenaars duals from symplectic reduction
cites work: On the duality between the hyperbolic Sutherland and the rational Ruijsenaars–Schneider models
cites work: Poisson-Lie interpretation of trigonometric Ruijsenaars duality
cites work: Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction
cites work: DERIVATIONS OF THE TRIGONOMETRIC BCn SUTHERLAND MODEL BY QUANTUM HAMILTONIAN REDUCTION
cites work: Duality in integrable systems and gauge theories
cites work: Integrable many-body systems in the field theories
cites work: Q3803293
cites work: Q3803292
cites work: Q3897665
cites work: Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
cites work: Double coset decompositions of reductive Lie groups arising from two involutions
cites work: Q4263551
cites work: Completely integrable Hamiltonian systems connected with semisimple Lie algebras
cites work: Q3822485
cites work: Momentum maps and Hamiltonian reduction
cites work: Q4692312
cites work: Q4304296
cites work: On the scattering theory of the classical hyperbolicCnSutherland model
cites work: Action-angle duality between the \(C_n\)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models
cites work: The hyperbolic \(BC_n\) Sutherland and the rational \(BC_n\) Ruijsenaars-Schneider-Van Diejen models: Lax matrices and duality
cites work: Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
cites work: Relativistic Toda systems
cites work: Q4001829
cites work: Action-angle maps and scattering theory for some finite-dimensional integrable systems. III: Sutherland type systems and their duals
cites work: Q4321770
cites work: Theory of nonlinear lattices.
cites work: Deformations of Calogero-Moser systems and finite Toda chains
title: Duality between the trigonometric \(\mathrm{BC}_n\) Sutherland system and a completed rational Ruijsenaars-Schneider-van Diejen system
description: scientific article; zbMATH DE number 6366339