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Deformations of Calogero-Moser systems and finite Toda chains

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Abstract

Recent results pertaining to the complete integrability of some noveln-particle models in dimension one are presented. These models generalize the Calogero-Moser systems related to classical root systems. Generalizations of the relativistic Toda chain are obtained via limit transitions.

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Department of Mathematics and Computer Science, University of Amsterdam, Platage Muidergracht 24, 1018 TV Amsterdam, The Netherlands. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 2, pp. 234–240, May, 1994.

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van Diejen, J.F. Deformations of Calogero-Moser systems and finite Toda chains. Theor Math Phys 99, 549–554 (1994). https://doi.org/10.1007/BF01016137

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