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QUANTUM VS CLASSICAL CALOGERO–MOSER SYSTEMS

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Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete

Part of the book series: NATO Science Series ((NAII,volume 201))

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Abstract

Calogero–Moser and Toda systems are best known examples of solvable many-particle dynamics on a line which are based on root systems. At the classical level, the former (C–M) is integrable for elliptic potentials (Weierstraβ β function) and their various degenerations.

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Author information

Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606–8502, Japan

    Ryu Sasaki

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  1. Ryu Sasaki
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Editors and Affiliations

  1. Russian Academy of Sciences, St. Petersburg, Russia

    Ludwig Faddeev

  2. Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Pierre Van Moerbeke

  3. Vrije Universiteit Brussel, Belgium

    Franklin Lambert

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Sasaki, R. (2006). QUANTUM VS CLASSICAL CALOGERO–MOSER SYSTEMS. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_24

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