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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 2, Pages 245–260
DOI: https://doi.org/10.4213/tmf10079 (Mi tmf10079) 		 
Integrable extensions of classical elliptic integrable systems

M. A. Olshanetskyabc

a Alikhanov Institute for Theoretical and Experimental Physics of National Research Center "Kurchatov Institute", Moscow, Russia
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
c Moscow Institute for Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russia
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DOI: https://doi.org/10.4213/tmf10079
Abstract: In this article we consider two particular examples of general construction proposed in arXiv:2012.15529. We consider the integrable extensions of the classical elliptic Calogero-Moser model of N particles with spin and the integrable Euler-Arnold top related to the group SL(N,C). The extended systems has additional N-1 degrees of freedom and can be described in terms of the Darboux variables.
Keywords: Hitchin systems, Calogero–Moser model, Euler–Arnold top.
Received: 22.02.2021
Revised: 27.02.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 2, Pages 1061–1074
DOI: https://doi.org/10.1134/S0040577921080067
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Olshanetsky, “Integrable extensions of classical elliptic integrable systems”, TMF, 208:2 (2021), 245–260; Theoret. and Math. Phys., 208:2 (2021), 1061–1074
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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