The geometry of integrable and superintegrable systems

DOI10.1007/s11232-012-0099-1zbMath1353.37130arXiv1203.1663OpenAlexW3101440038MaRDI QIDQ394863

Giuseppe Marmo, Alberto Ibort

Publication date: 28 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1663

zbMATH Keywords

integrable systemsuperintegrable systemgeometric structureenergy-period theorem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (1)

Sundman transformation and alternative tangent structures

Cites Work

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• Generalizations of Gordon theorem
• Convexity and Commuting Hamiltonians
• The inverse problem in the Hamiltonian formalism: integrability of linear Hamiltonian fields
• REDUCTION AND UNFOLDING: THE KEPLER PROBLEM
• REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM

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