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This chapter is meant to be an introduction to the so-called rational Calogero-Moser system, CM-system hereafter, a dynamical system of n-point particles disposed online and interacting via a potential proportional to the inverse square of the distance of its constituents. This system was introduced by Francesco Calogero at the beginning of the 1970s. Its complete integrability was proved by Jürgen Moser in 1975, using analytical methods borrowed from scattering theory.

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Calogero-Moser Systems

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  • 发表日期：

    2026年

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  • Alessandro Arsie,
  • Igor Mencattini

摘要

This chapter is meant to be an introduction to the so-called rational Calogero-Moser system, CM-system hereafter, a dynamical system of n-point particles disposed online and interacting via a potential proportional to the inverse square of the distance of its constituents. This system was introduced by Francesco Calogero at the beginning of the 1970s. Its complete integrability was proved by Jürgen Moser in 1975, using analytical methods borrowed from scattering theory.