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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 291, Pages 24–34 (Mi znsl1619)  
This article is cited in 3 scientific papers (total in 3 papers)

$R$-matrices for $SU(2)$-invariant two-leg spin ladders

P. N. Bibikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (182 kB) Citations (3)
Abstract: The list of $R$-matrices for the set of eight integrable spin ladders is presented. The four of them are new. All the results were obtained using a special algorithm based on the derivation of the $R$-matrix from its local Hamiltonian density. The concrete calculations were realized on the base of the computer algebra system MAPLE V.
Received: 25.07.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 125, Issue 2, Pages 111–117
DOI: https://doi.org/10.1023/B:JOTH.0000049563.14521.c6
Bibliographic databases:
UDC: 530.145+517.9
Language: Russian
Citation: P. N. Bibikov, “$R$-matrices for $SU(2)$-invariant two-leg spin ladders”, Questions of quantum field theory and statistical physics. Part 17, Zap. Nauchn. Sem. POMI, 291, POMI, St. Petersburg, 2002, 24–34; J. Math. Sci. (N. Y.), 125:2 (2005), 111–117
Citation in format AMSBIB
\Bibitem{Bib02}
\by P.~N.~Bibikov
\paper $R$-matrices for $SU(2)$-invariant two-leg spin ladders
\inbook Questions of quantum field theory and statistical physics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 291
\pages 24--34
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1948807}
\zmath{https://zbmath.org/?q=an:1063.81067}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 125
\issue 2
\pages 111--117
\crossref{https://doi.org/10.1023/B:JOTH.0000049563.14521.c6}
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  • https://www.mathnet.ru/eng/znsl/v291/p24
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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