1994/05/24 by V. Pasquier · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/3-540-58453-6_3
(2 references added, small modifications)
arxiv created 1994/05/24 · arxiv updated 2009/11/30
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.