In these lectures, I review some recent results on the Calogero-Sutherland model and the Haldane Shastry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonian and fractional statistics. The form factor of the density operator. 2) The Dunkl operators and their relations with monodromy matrices, Yangians and affine-Hecke algebras. 3) The Haldane-Shastry chain in connection with the Calogero-Sutherland Hamiltonian at a specific coupling constant.
CITATION STYLE
Pasquier, V. (2008). A lecture on the Calogero-Sutherland models. In Integrable Models and Strings (pp. 36–48). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-58453-6_3
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