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Zapiski Nauchnykh Seminarov LOMI, 1985, Volume 146, Pages 31–46 (Mi znsl5326)  
A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin

A. N. Kirillov, N. Yu. Reshetikhin
Full-text PDF (696 kB)
Abstract: The structure of string solutions for the $XXZ$ Heisenbers model of arbitrary spin is studied. Special spin values are found for which there are restrictions on the positions of centers of certain string solutions. For a class of spin values depending on the asnisothropy parameter such restrictions do not occur. A conjecture on the full classification of string states over the ferromagnetic vacuum is formulated. Bibl. – 14.
Bibliographic databases:
Document Type: Article
UDC: 536.7+536.145
Language: Russian
Citation: A. N. Kirillov, N. Yu. Reshetikhin, “A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin”, Differential geometry, Lie groups and mechanics. Part VII, Zap. Nauchn. Sem. LOMI, 146, "Nauka", Leningrad. Otdel., Leningrad, 1985, 31–46
Citation in format AMSBIB
\Bibitem{KirRes85}
\by A.~N.~Kirillov, N.~Yu.~Reshetikhin
\paper A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin
\inbook Differential geometry, Lie groups and mechanics. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1985
\vol 146
\pages 31--46
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5326}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=836548}
\zmath{https://zbmath.org/?q=an:0606.35070}
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