On Spin Calogero-Moser system at infinity

TL;DR

This paper introduces a new integrable spin Calogero-Moser model as an infinite particle limit, utilizing multicomponent Fock space, with explicit Dunkl operators and Yangian generators, and explores its classical limit.

Contribution

It constructs a novel integrable model at infinity, providing explicit formulas for key operators and analyzing its classical behavior.

Findings

Explicit Dunkl operators derived

Yangian generators constructed in multicomponent Fock space

Classical limit of the system examined

Abstract

We present a construction of a new integrable model as an infinite limit of Calogero models of N particles with spin. It is implemented in the multicomponent Fock space. Explicit formulas for Dunkl operators, the Yangian generators in the multicomponent Fock space are presented. The classical limit of the system is examined.