On the superintegrability of the rational Ruijsenaars-Schneider model
arXiv:0909.2753 · doi:10.1016/j.physleta.2010.02.065
Abstract
The rational and hyperbolic Ruijsenaars-Schneider models and their non-relativistic limits are maximally superintegrable since they admit action variables with globally well-defined canonical conjugates. In the case of the rational Ruijsenaars-Schneider model we present an alternative proof of the superintegrability by explicitly exhibiting extra conserved quantities relying on a generalization of the construction of Wojciechowski for the rational Calogero model.
added 2 references and some comments in v2, 10 pages
References in corpus (4)
- Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
- On the duality between the hyperbolic Sutherland and the rational Ruijsenaars-Schneider models
- On maximally superintegrable systems
- On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
Cited by in corpus (7)
- Superintegrability of (generalized) Calogero models with oscillator or Coulomb potential
- Three-dimensional superintegrable systems in a static electromagnetic field
- The structure of invariants in conformal mechanics
- Ruijsenaars-Schneider three-body models with N=2 supersymmetry
- Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models
- Superintegrability of Calogero-Moser systems associated with the cyclic quiver
- Integrable many-body systems of Calogero-Ruijsenaars type