Algebraic Linearization of Dynamics of Calogero Type for any Coxeter Group
arXiv:hep-th/0001074 · doi:10.1063/1.533370
Abstract
Calogero-Moser systems can be generalized for any root system (including the non-crystallographic cases). The algebraic linearization of the generalized Calogero-Moser systems and of their quadratic (resp. quartic) perturbations are discussed.
LaTeX2e, 13 pages, no figures
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- Quantum vs Classical Integrability in Calogero-Moser Systems
- Painleve-Calogero Correspondence Revisited
- Quadratic Algebra associated with Rational Calogero-Moser Models
- Explicit solutions of the classical Calogero & Sutherland systems for any root system
- Pendulum Integration and Elliptic Functions
- On the superintegrability of the rational Ruijsenaars-Schneider model
- Superintegrability of Calogero-Moser systems associated with the cyclic quiver
- Hierarchies of Spin Models related to Calogero-Moser Models
- Inversion of a mapping associated with the Aomoto-Forrester system