Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals

zbMath1273.81116arXiv1209.1314MaRDI QIDQ1945226

Viktor Ayadi, T. F. Görbe, László Fehér

Publication date: 3 April 2013

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1314

zbMATH Keywords

action-angle variablessuperintegrabilityRuijsenaars-Schneider systemshyperbolic Sutherland systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (8)

Degenerate integrability of quantum spin Calogero-Moser systems ⋮ Degenerately integrable systems ⋮ Three-dimensional superintegrable systems in a static electromagnetic field ⋮ Duality between the trigonometricBC_nSutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system ⋮ The structure of invariants in conformal mechanics ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Equivalence of two sets of Hamiltonians associated with the rational \(\operatorname{BC}_n\) Ruijsenaars-Schneider-van Diejen system ⋮ On a Poisson-Lie deformation of the \(\mathrm{BC}_{n}\) Sutherland system

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