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A lecture on the Calogero-Sutherland models

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Integrable Models and Strings

Part of the book series: Lecture Notes in Physics ((LNP,volume 436))

Abstract

In these lectures, I review some recent results on the Calogero Sutherland model and the Haldane Shatry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonien and fractional stastistics. 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.

Laboratoire de la Direction des Sciences de la Matière du Commissariat à l'Energie Atomique.

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Authors and Affiliations

  1. Service de Physique Théorique de Saclay, F-91191, Gif sur Yvette Cedex, France

    V. Pasquier

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  1. V. Pasquier
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Anton Alekseev Antero Hietamäki Katri Huitu Alexei Morozov Antti Niemi

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© 1994 Springer-Verlag

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Pasquier, V. (1994). A lecture on the Calogero-Sutherland models. In: Alekseev, A., Hietamäki, A., Huitu, K., Morozov, A., Niemi, A. (eds) Integrable Models and Strings. Lecture Notes in Physics, vol 436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58453-6_3

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  • DOI: https://doi.org/10.1007/3-540-58453-6_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58453-7

  • Online ISBN: 978-3-540-48810-1

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