Fermionic limit of the Calogero-Sutherland system
Mathematical Physics
2019-10-22 v1 math.MP
Abstract
We present a construction of an integrable model as a projective type limit of Calogero-Sutherland models of fermionic particles, when tends to infinity. Explicit formulas for limits of Dunkl operators and of commuting Hamiltonians by means of vertex operators are given.
Cite
@article{arxiv.1910.08972,
title = {Fermionic limit of the Calogero-Sutherland system},
author = {S. M. Khoroshkin and M. G. Matushko},
journal= {arXiv preprint arXiv:1910.08972},
year = {2019}
}