Abstract
Undersystems of the Calogero-Moser typewe shall understand multi-particle systems with non-local pair-wise interactions. The original Calogero-Moser models enjoyed generalizations in various directions, so that the area became highly ramified. Already these original systems are known in three appearances: rational, hyperbolic (trigonometric), and elliptic.Calogero-Moser (CM) modelsare natural Hamiltonian systems on the canonical phase space \(\mathbb{R}^{2N} \left( {x,p} \right) \) with the symplectic Poisson bracket (1.3.7) and the Hamilton functions
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© 2003 Springer Basel AG
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Suris, Y.B. (2003). Calogero-Moser and Ruijsenaars-Schneider Systems. In: The Problem of Integrable Discretization: Hamiltonian Approach. Progress in Mathematics, vol 219. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8016-9_27
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DOI: https://doi.org/10.1007/978-3-0348-8016-9_27
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9404-3
Online ISBN: 978-3-0348-8016-9
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