Knizhnik-Zamolodchikov equations and the Calogero-Sutherland-Moser integrable models with exchange terms

Abstract

It is shown that from some solutions of generalized Knizhnik-Zamolodchikov equations one can construct eigenfunctions of the Calogero-Sutherland-Moser Hamiltonians with exchange terms, which are characterized by any given permutational symmetry under particle exchange. This generalizes some results previously derived by Matsuo and Cherednik for the ordinary Calogero-Sutherland-Moser Hamiltonians.

13 pages, LaTeX, no figures, to be published in J. Phys. A

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• 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
• On Models with Inverse-Square Exchange
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Cited by in corpus (2)

• Collective Field Description of Spin Calogero-Sutherland Models
• Three-body generalization of the Sutherland model with internal degrees of freedom