A note on the action-angle variables for the rational Calogero-Moser system

DOI10.1016/S0375-9601(00)00173-0zbMath0944.37033arXivhep-th/9912068MaRDI QIDQ1569607

Piotr Kosiński, Tomasz Brzeziński, Cezary Gonera, Pawel Maslanka

Publication date: 3 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9912068

zbMATH Keywords

canonical transformationaction-angle variablesCalogero-Moser system

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Integrable generalizations of oscillator and Coulomb systems via action-angle variables, The structure of invariants in conformal mechanics, The spherical sector of the Calogero model as a reduced matrix model

Cites Work

• Integrable systems from gauged matrix models.
• Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978
• Integrable many-body systems in the field theories
• Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
• Hamiltonian group actions and dynamical systems of calogero type
• Quantum integrable systems and representations of Lie algebras