Abstract:
For the R matrices of the XXX and XXZ models, a study is made of
the L operators, i.e., the monodromy matrices with vacuum and
finite-dimensional single-particle subspace. All possible vacuum
eigenvalues of the diagonal matrix elements are found for such
monodromy matrices. In the case of the R matrix of the XXZ model,
the ratio of the vacuum eigenvalues is shown to be ππ-periodic
with respect to the spectral parameter. All monodromy matrices
with one-dimensional single-particle subspace are found.
Citation:
V. O. Tarasov, “Structure of quantum L operators for the R matrix of the XXZ model”, TMF, 61:2 (1984), 163–173; Theoret. and Math. Phys., 61:2 (1984), 1065–1072
\Bibitem{Tar84}
\by V.~O.~Tarasov
\paper Structure of quantum L operators for the R matrix of the XXZ model
\jour TMF
\yr 1984
\vol 61
\issue 2
\pages 163--173
\mathnet{http://mi.mathnet.ru/tmf5681}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=778541}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 61
\issue 2
\pages 1065--1072
\crossref{https://doi.org/10.1007/BF01029107}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984AKD1300001}
Linking options:
https://www.mathnet.ru/eng/tmf5681
https://www.mathnet.ru/eng/tmf/v61/i2/p163
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