A new model in the Calogero-Ruijsenaars family
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Publication:2351055
DOI10.1007/s00220-015-2388-7zbMath1316.81047arXiv1311.4641OpenAlexW2963786437MaRDI QIDQ2351055
Publication date: 26 June 2015
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.4641
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) (n)-body problems (70F10)
Related Items (10)
Spectrum and eigenfunctions of the lattice hyperbolic Ruijsenaars-Schneider system with exponential Morse term ⋮ The full phase space of a model in the Calogero-Ruijsenaars family ⋮ Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models ⋮ The action–angle dual of an integrable Hamiltonian system of Ruijsenaars–Schneider–van Diejen type ⋮ New compact forms of the trigonometric Ruijsenaars-Schneider system ⋮ Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric \(\mathrm {BC}_n\) Sutherland system ⋮ Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an Appendix by S. Ruijsenaars) ⋮ Spectral parameter dependent Lax pairs for systems of Calogero-Moser type ⋮ On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system ⋮ On a Poisson-Lie deformation of the \(\mathrm{BC}_{n}\) Sutherland system
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