Fermionic limit of the Calogero-Sutherland system

Abstract

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.

References in corpus (10)

• Exchange Operator Formalism for Integrable Systems of Particles
• Yang-Baxter equation in spin chains with long range interactions
• Collective fields, Calogero-Sutherland model and generalized matrix models
• Free fermions and tau-functions
• Exact Solution of the Sutherland Model with arbitrary symmetry
• Integrable Hierarchy of the Quantum Benjamin-Ono Equation
• Sekiguchi-Debiard operators at infinity
• Collective Field Description of Spin Calogero-Sutherland Models
• On Spin Calogero-Moser system at infinity
• Yangian actions on higher level irreducible integrable modules of affine gl(N)

Cited by in corpus (2)

• Effective short distance interaction in Calogero-Sutherland quantum fluids
• Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system