Fermionic limit of the Calogero-Sutherland system
arXiv:1910.08972 · doi:10.1063/1.5100035
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.