Algebraic Linearization of Dynamics of Calogero Type for any Coxeter Group
R. Caseiro (Coimbra), J.-P. Francoise (Paris VI), R. Sasaki (Kyoto)
TL;DR
This paper discusses the algebraic linearization of generalized Calogero-Moser systems, applicable to any root system including non-crystallographic cases, and explores their quadratic and quartic perturbations.
Contribution
It introduces an algebraic linearization framework for Calogero-Moser systems generalized to any Coxeter group, including non-crystallographic cases.
Findings
Linearization applicable to all root systems
Extension to quadratic and quartic perturbations
Framework unifies various Calogero-Moser models
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.
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