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, 2006, Volume 146, Number 1, Pages 3–16
DOI: https://doi.org/10.4213/tmf2004 (Mi tmf2004) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Matrix Model and Stationary Problem in the Toda Chain

A. V. Marshakovab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (187 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf2004
Abstract: We analyze the stationary problem for the Toda chain and show that the arising geometric data exactly correspond to the multisupport solutions of the one-matrix model with a polynomial potential. We calculate the Hamiltonians and symplectic forms for the first nontrivial examples explicitly and perform the consistency checks. We formulate the corresponding quantum problem and discuss some of its properties and prospects.
Keywords: matrix models, complex geometry, integrable systems.
English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 1, Pages 1–12
DOI: https://doi.org/10.1007/s11232-006-0001-0
Bibliographic databases:
Language: Russian
Citation: A. V. Marshakov, “Matrix Model and Stationary Problem in the Toda Chain”, TMF, 146:1 (2006), 3–16; Theoret. and Math. Phys., 146:1 (2006), 1–12
Citation in format AMSBIB
\Bibitem{Mar06}
\by A.~V.~Marshakov
\paper Matrix Model and Stationary Problem in the Toda Chain
\jour TMF
\yr 2006
\vol 146
\issue 1
\pages 3--16
\mathnet{http://mi.mathnet.ru/tmf2004}
\crossref{https://doi.org/10.4213/tmf2004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2243397}
\zmath{https://zbmath.org/?q=an:1177.37076}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006TMP...146....1M}
\elib{https://elibrary.ru/item.asp?id=9213631}
\transl
\jour Theoret. and Math. Phys.
\yr 2006
\vol 146
\issue 1
\pages 1--12
\crossref{https://doi.org/10.1007/s11232-006-0001-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000235509200001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-31044452876}
Linking options:
  • https://www.mathnet.ru/eng/tmf2004
  • https://doi.org/10.4213/tmf2004
  • https://www.mathnet.ru/eng/tmf/v146/i1/p3
    • This publication is cited in the following 2 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:502
    Full-text PDF :236
    References:72
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024