On spin Calogero-Moser system at infinity

On spin Calogero-Moser system at infinity

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...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-03, Vol.50 (11), p.115203
Hauptverfasser: Khoroshkin, S M, Matushko, M G, Sklyanin, E K
Format: Artikel
Sprache:eng
Schlagworte:
Calogero-Moser system
Dunkl operators
multicomponent Fock space
vertex operators
Yangian
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Zusammenfassung: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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa58f7