Completely Integrable Systems Associated with Classical Root Systems

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Completely Integrable Systems Associated with Classical Root Systems

We explicitly construct sufficient integrals of completely integrable quantum and classical systems associated with classical root systems, which include Calogero-Moser-Sutherland models, Inozemtsev models and Toda finite lattices with boundary conditions. We also discuss the classification of the completely integrable systems.

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ژورنال

عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications

سال: 2007

ISSN: 1815-0659

DOI: 10.3842/sigma.2007.061