\(p,q\)-duality and Hamiltonian flows in the space of integrable systems or integrable systems as canonical transforms of the free ones

DOI10.1016/S0370-2693(01)01267-9zbMath1016.70010arXivhep-th/0107114OpenAlexW3104453914MaRDI QIDQ5950847

Albert D. Morozov, Andrei Mironov

Publication date: 18 December 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0107114

zbMATH Keywords

canonical transformationquantizationduality transformationCalogero-Ruijsenaars-Dell systemdual Hamiltoniandual integrable systemHamiltonian flowone-parametric family of integrable systemsspace of coupling constantsWhitham equationszero-curvature condition

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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