Generalization of a result of Matsuo and Cherednik to the Calogero-Sutherland- Moser integrable models with exchange terms

Abstract

A few years ago, Matsuo and Cherednik proved that from some solutions of the Knizhnik-Zamolodchikov (KZ) equations, which first appeared in conformal field theory, one can obtain wave functions for the Calogero integrable system. In the present communication, it is shown that from some solutions of generalized KZ equations, one can construct wave functions, characterized by any given permutational symmetry, for some Calogero-Sutherland-Moser integrable models with exchange terms. Such models include the spin generalizations of the original Calogero and Sutherland ones, as well as that with $\delta$-function interaction.

arXiv commentLatex, 7 pages, Communication at the 4th Colloquium "Quantum Groups and Integrable Systems", Prague (June 1995)

References in corpus (5)

• Exchange Operator Formalism for Integrable Systems of Particles
• Yang-Baxter equation in spin chains with long range interactions
• Explicit Solution to the N-Body Calogero Problem
• Representations of the $S_N$-Extended Heisenberg Algebra and Relations Between Knizhnik-Zamolodchikov Equations and Quantum Calogero Model
• Comment on ``Generalized $q$-oscillators and their Hopf structures''