On Spin Calogero-Moser system at infinity

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.

References in corpus (11)

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Cited by in corpus (4)

• Cherednik operators and Ruijsenaars-Schneider model at infinity
• Fermionic limit of the Calogero-Sutherland system
• On Cherednik and Nazarov-Sklyanin large N limit construction for integrable many-body systems with elliptic dependence on momenta
• Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system