Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 87–99 (Mi znsl5197)  
On quantum $L$-operator for two-dimensional lattice Toda model

A. G. Bytskoa, I. Yu. Davydenkovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b Section of Mathematics, University of Geneva, Genève, Switzerland
Full-text PDF (261 kB)
References:
PDF
HTML
Abstract: The two-dimensional quantum lattice Toda model for the affine and simple Lie algebras of the type A is considered. For its known $L$-operator a correction of the second order in the lattice parameter $\varepsilon$ is found. It is proved that the equation determining a correction of the third order in $\varepsilon$ has no solutions.
Key words and phrases: quantum lattice Toda model, $R$-matrix, $L$-operator.
Received: 18.11.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 1, Pages 50–56
DOI: https://doi.org/10.1007/s10958-013-1372-z
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Bytsko, I. Yu. Davydenkova, “On quantum $L$-operator for two-dimensional lattice Toda model”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 87–99; J. Math. Sci. (N. Y.), 192:1 (2013), 50–56
Citation in format AMSBIB
\Bibitem{BytDav12}
\by A.~G.~Bytsko, I.~Yu.~Davydenkova
\paper On quantum $L$-operator for two-dimensional lattice Toda model
\inbook Questions of quantum field theory and statistical physics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 398
\pages 87--99
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2944990}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 1
\pages 50--56
\crossref{https://doi.org/10.1007/s10958-013-1372-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884984862}
Linking options:
  • https://www.mathnet.ru/eng/znsl5197
  • https://www.mathnet.ru/eng/znsl/v398/p87
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:175
    Full-text PDF :56
    References:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024