An integrable BC(n) Sutherland model with two types of particles

DOI10.1063/1.3653221zbMath1272.82019arXiv1105.4552OpenAlexW3098084365MaRDI QIDQ2851737

Viktor Ayadi, László Fehér

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1105.4552

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Exactly solvable models; Bethe ansatz (82B23) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geodesic flows in symplectic geometry and contact geometry (53D25) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (2)

An Application of the Reduction Method to Sutherland type Many-body Systems ⋮ On the r-matrix structure of the hyperbolic BC n Sutherland model

Cites Work

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• Heckman-Opdam's Jacobi polynomials for the \(BC_{n}\) root system and generalized spherical functions
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• A class of Calogero type reductions of free motion on a simple Lie group
• On the scattering theory of the classical hyperbolicC_nSutherland model
• DERIVATIONS OF THE TRIGONOMETRIC BC_n SUTHERLAND MODEL BY QUANTUM HAMILTONIAN REDUCTION
• Trigonometric Sutherland systems and their Ruijsenaars duals from symplectic reduction

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