Fermionic limit of the Calogero-Sutherland system

We present a construction of an integrable model as a projective type limit of Calogero-Sutherland models of N fermionic particles, when N tends to infinity. Explicit formulas for limits of Dunkl operators and of commuting Hamiltonians by means of vertex operators are given.

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Bibliographic Details
Published in:Journal of mathematical physics 2019-07, Vol.60 (7)
Main Authors: Khoroshkin, S. M., Matushko, M. G.
Format: Article
Language:English
Subjects:
Commuting
Operators
Physics
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Summary:We present a construction of an integrable model as a projective type limit of Calogero-Sutherland models of N fermionic particles, when N tends to infinity. Explicit formulas for limits of Dunkl operators and of commuting Hamiltonians by means of vertex operators are given.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5100035