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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 325, Pages 146–162 (Mi znsl355)  
This article is cited in 2 scientific papers (total in 3 papers)

Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$

P. P. Kulisha, P. D. Ryasichenkob

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (220 kB) Citations (3)
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Abstract: We consider an integrable system with $R$-matrix connected to the algebra $\mathrm{sl}_q(1\mid1)$. We construct the Hamiltonian of the system and find its spectrum by means of the algebraic Bethe Ansatz. The symmetry algebra of the chain is written out. The partition function of the model on the lattice with domain wall boundary conditions is calculated.
Received: 27.06.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 3, Pages 5711–5721
DOI: https://doi.org/10.1007/s10958-006-0339-8
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: P. P. Kulish, P. D. Ryasichenko, “Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Zap. Nauchn. Sem. POMI, 325, POMI, St. Petersburg, 2005, 146–162; J. Math. Sci. (N. Y.), 138:3 (2006), 5711–5721
Citation in format AMSBIB
\Bibitem{KulRya05}
\by P.~P.~Kulish, P.~D.~Ryasichenko
\paper Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 325
\pages 146--162
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl355}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160324}
\zmath{https://zbmath.org/?q=an:1082.17009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 3
\pages 5711--5721
\crossref{https://doi.org/10.1007/s10958-006-0339-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748667054}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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