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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2019 Volume 109, Issue 2, Pages 131–138 (Mi jetpl5807)

SCIENTIFIC SUMMARIES

Generalized Calogero and Toda models

Yu. Chernyakovab, S. Kharchevca, A. Levinad, M. Olshanetskyac, A. Zotovdea

a Alikhanov Institute for Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Moscow, Russia
b Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, Russia
c Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
d National Research University Higher School of Economics, Moscow, Russia
e Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: A Calogero–Sutherland system with two types of interacting spin variables has been described using the Hitchin approach and quasicompact structure. Complete integrability has been established by means of the Lax equation specified on a singular curve and the classical $r$-matrix depending on the spectral parameter. Generalized Toda systems have also been considered. Their phase portraits have been described.

Received: 16.11.2018
Revised: 16.11.2018
Accepted: 16.11.2018

DOI: 10.1134/S0370274X19020139


 English version:
Journal of Experimental and Theoretical Physics Letters, 2019, 109:2, 136–143

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© Steklov Math. Inst. of RAS, 2025