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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 44–57 (Mi znsl3593)  
This article is cited in 5 scientific papers (total in 6 papers)

Three-magnon problem and integrability of rung-dimerized spin ladders

P. N. Bibikova, P. P. Kulishb

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
Full-text PDF (205 kB) Citations (6)
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Abstract: Integrability problem for rung-dimerized spin ladder is studied by coordinate Bethe Ansatz method in three-magnon sector. It is shown that solvability of the three-magnon problem takes place for the same values of coupling constants in the Hamiltonian which guaranty solvability of the Yang–Baxter equation for the corresponding $R$-matrix. Bibl. – 15 titles.
Key words and phrases: Bethe Ansatz, spin chains, dimerization, Yang–Baxter equation.
Received: 30.03.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 6, Pages 781–788
DOI: https://doi.org/10.1007/s10958-010-0026-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: P. N. Bibikov, P. P. Kulish, “Three-magnon problem and integrability of rung-dimerized spin ladders”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 44–57; J. Math. Sci. (N. Y.), 168:6 (2010), 781–788
Citation in format AMSBIB
\Bibitem{BibKul10}
\by P.~N.~Bibikov, P.~P.~Kulish
\paper Three-magnon problem and integrability of rung-dimerized spin ladders
\inbook Questions of quantum field theory and statistical physics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 374
\pages 44--57
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3593}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 168
\issue 6
\pages 781--788
\crossref{https://doi.org/10.1007/s10958-010-0026-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955279130}
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  • https://www.mathnet.ru/eng/znsl/v374/p44
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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