RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Pis'ma v Zh. Èksper. Teoret. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-02-01081_
18-01-00926_
18-01-00460_
Ministry of Education and Science of the Russian Federation 14.641.31.0001
This work was supported in part by the Russian Foundation for Basic Research (project nos. 18-02-01081 (Levin, Olshanetsky, Chernyakov), 18-01-00926 (Zotov), and 18-01-00460 (Kharchev)). The work of Levin was supported by the Laboratory for Mirror Symmetry, National Research University Higher School of Economics (agreement no. 14.641.31.0001 with the Government of the Russian Federation). The work of Zotov was supported by the Ministry of Education and Science of the Russian Federation (Russian Academic Excellence Project 5-100).


DOI: https://doi.org/10.1134/S0370274X19020139

Full text: PDF file (258 kB)
First page: PDF file
References: PDF file   HTML file

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

Bibliographic databases:

Document Type: Article
Received: 16.11.2018
Revised: 16.11.2018
Accepted:16.11.2018

Citation: Yu. Chernyakov, S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Generalized Calogero and Toda models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 109:2 (2019), 131–138; JETP Letters, 109:2 (2019), 136–143

Citation in format AMSBIB
\Bibitem{CheKhaLev19}
\by Yu.~Chernyakov, S.~Kharchev, A.~Levin, M.~Olshanetsky, A.~Zotov
\paper Generalized Calogero and Toda models
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2019
\vol 109
\issue 2
\pages 131--138
\mathnet{http://mi.mathnet.ru/jetpl5807}
\crossref{https://doi.org/10.1134/S0370274X19020139}
\elib{http://elibrary.ru/item.asp?id=36855231}
\transl
\jour JETP Letters
\yr 2019
\vol 109
\issue 2
\pages 136--143
\crossref{https://doi.org/10.1134/S0021364019020061}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000467096800013}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064912533}


Linking options:
  • http://mi.mathnet.ru/eng/jetpl5807
  • http://mi.mathnet.ru/eng/jetpl/v109/i2/p131

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
    Number of views:
    This page:34
    References:3
    First page:6

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019