Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 3, Pages 417–434
DOI: https://doi.org/10.4213/tmf9625 (Mi tmf9625) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Calogero–Moser model and $R$-matrix identities

A. V. Zotov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (610 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9625
Abstract: We discuss properties of $R$-matrix-valued Lax pairs for the elliptic Calogero-Moser model. In particular, we show that the family of Hamiltonians arising from this Lax representation contains only known Hamiltonians and no others. We review the relation of $R$-matrix-valued Lax pairs to Hitchin systems on bundles with nontrivial characteristic classes over elliptic curves and also to quantum long-range spin chains. We prove a general higher-order identity for solutions of the associative Yang–Baxter equation.
Keywords: elliptic integrable system, long-range spin chain, associative Yang–Baxter equation.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This research is supported by a grant from the Russian Science Foundation (Project No. 14-50-00005).
Received: 04.09.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 3, Pages 1755–1770
DOI: https://doi.org/10.1134/S0040577918120061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zotov, “Calogero–Moser model and $R$-matrix identities”, TMF, 197:3 (2018), 417–434; Theoret. and Math. Phys., 197:3 (2018), 1755–1770
Citation in format AMSBIB
\Bibitem{Zot18}
\by A.~V.~Zotov
\paper Calogero--Moser model and $R$-matrix identities
\jour TMF
\yr 2018
\vol 197
\issue 3
\pages 417--434
\mathnet{http://mi.mathnet.ru/tmf9625}
\crossref{https://doi.org/10.4213/tmf9625}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3881810}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2018TMP...197.1755Z}
\elib{https://elibrary.ru/item.asp?id=36448174}
\transl
\jour Theoret. and Math. Phys.
\yr 2018
\vol 197
\issue 3
\pages 1755--1770
\crossref{https://doi.org/10.1134/S0040577918120061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000455189700006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85059749220}
Linking options:
  • https://www.mathnet.ru/eng/tmf9625
  • https://doi.org/10.4213/tmf9625
  • https://www.mathnet.ru/eng/tmf/v197/i3/p417
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:396
    Full-text PDF :152
    References:59
    First page:17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025