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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 347, Pages 178–186 (Mi znsl80)  

This article is cited in 2 scientific papers (total in 3 papers)

Algebraic Bethe ansatz for seven-vertex model

P. P. Kulish, P. D. Ryasichenko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (178 kB) Citations (3)
References:
Abstract: The work is dedicated to the construction of algebraic Bethe ansatz for seven-vertex model. $R$-matrix of the system is obtained by means of twist from six-vertex model consider by us earlier. The presence of seven nonzero element in $R$-matrix complicates the situation. In particular the commutation relations of elements of monodromy matrix becomes more difficult in comparison with the six-vertex model. But we construct algebraic Bethe ansatz by help of introducing of new operator that is the difference between two operators on the main diagonal of monodromy matrix. The eigenstates and the spectrum of the system were found. This is the first step on the way of comparison of the systems with six- and seven-vertex $R$-matrix respectively.
Received: 19.10.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 2, Pages 2901–2906
DOI: https://doi.org/10.1007/s10958-008-9012-8
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: P. P. Kulish, P. D. Ryasichenko, “Algebraic Bethe ansatz for seven-vertex model”, Questions of quantum field theory and statistical physics. Part 20, Zap. Nauchn. Sem. POMI, 347, POMI, St. Petersburg, 2007, 178–186; J. Math. Sci. (N. Y.), 151:2 (2008), 2901–2906
Citation in format AMSBIB
\Bibitem{KulRya07}
\by P.~P.~Kulish, P.~D.~Ryasichenko
\paper Algebraic Bethe ansatz for seven-vertex model
\inbook Questions of quantum field theory and statistical physics. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 347
\pages 178--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl80}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2458891}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 151
\issue 2
\pages 2901--2906
\crossref{https://doi.org/10.1007/s10958-008-9012-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249115179}
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  • https://www.mathnet.ru/eng/znsl/v347/p178
  • 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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    References:66
     
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