Duality between the trigonometricBCnSutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system

DOI10.1063/1.4898077zbMath1366.70016arXiv1407.2057OpenAlexW3098201362MaRDI QIDQ2928109

T. F. Görbe, László Fehér

Publication date: 6 November 2014

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

Full work available at URL: https://arxiv.org/abs/1407.2057

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items

Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials ⋮ Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit ⋮ The action–angle dual of an integrable Hamiltonian system of Ruijsenaars–Schneider–van Diejen type ⋮ Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric \(\mathrm {BC}_n\) Sutherland system ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an Appendix by S. Ruijsenaars) ⋮ Equivalence of two sets of Hamiltonians associated with the rational \(\operatorname{BC}_n\) Ruijsenaars-Schneider-van Diejen system ⋮ Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters ⋮ On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions ⋮ A new model in the Calogero-Ruijsenaars family ⋮ On a Poisson-Lie deformation of the \(\mathrm{BC}_{n}\) Sutherland system

Cites Work

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• Action-angle map and duality for the open Toda lattice in the perspective of Hamiltonian reduction
• The hyperbolic \(BC_n\) Sutherland and the rational \(BC_n\) Ruijsenaars-Schneider-Van Diejen models: Lax matrices and duality
• Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction
• Differential equations in the spectral parameter
• Poisson-Lie interpretation of trigonometric Ruijsenaars duality
• Action-angle duality between the \(C_n\)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models
• Calogero-Moser systems and representation theory
• Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
• Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
• Theory of nonlinear lattices.
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Double coset decompositions of reductive Lie groups arising from two involutions
• Momentum maps and Hamiltonian reduction
• Action-angle maps and scattering theory for some finite-dimensional integrable systems. III: Sutherland type systems and their duals
• Deformations of Calogero-Moser systems and finite Toda chains
• Integrable many-body systems in the field theories
• Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals
• Relativistic Toda systems
• On the scattering theory of the classical hyperbolicC_nSutherland model
• DERIVATIONS OF THE TRIGONOMETRIC BC_n SUTHERLAND MODEL BY QUANTUM HAMILTONIAN REDUCTION
• On the duality between the hyperbolic Sutherland and the rational Ruijsenaars–Schneider models
• Quantum versus classical integrability in Calogero$ndash$Moser systems
• Trigonometric Sutherland systems and their Ruijsenaars duals from symplectic reduction
• Duality in integrable systems and gauge theories