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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 291, Pages 245–250 (Mi znsl1660)  
On solutions of Bethe equations for the $XXZ$ model

V. O. Tarasov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (155 kB)
Abstract: It is shown that solutions of the Bethe ansatz equations for the inhomogeneous arbitrary spin $XXX$ or $XXZ$ model satisfy certain identites which generalize those, recently obtained by K. Fabricius and B. M. McCoy, for solutions of the Bethe ansatz equations for the six-vertex model. Even in the last case, the given proof is simpler than the original one.
Received: 07.10.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 125, Issue 2, Pages 239–241
DOI: https://doi.org/10.1023/B:JOTH.0000049575.05456.a6
Bibliographic databases:
UDC: 530.145
Language: Russian
Citation: V. O. Tarasov, “On solutions of Bethe equations for the $XXZ$ model”, Questions of quantum field theory and statistical physics. Part 17, Zap. Nauchn. Sem. POMI, 291, POMI, St. Petersburg, 2002, 245–250; J. Math. Sci. (N. Y.), 125:2 (2005), 239–241
Citation in format AMSBIB
\Bibitem{Tar02}
\by V.~O.~Tarasov
\paper On solutions of Bethe equations for the $XXZ$ model
\inbook Questions of quantum field theory and statistical physics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 291
\pages 245--250
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1660}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1948819}
\zmath{https://zbmath.org/?q=an:1130.82013}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 125
\issue 2
\pages 239--241
\crossref{https://doi.org/10.1023/B:JOTH.0000049575.05456.a6}
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