Hidden quantum R-matrix in the discrete-time classical Heisenberg magnet

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We construct local M-operators for an integrable discrete-time version of the classical Heisenberg magnet by convoluting the twisted quantum trigonometric 4×4 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with τ-functions of the model. Hirota's bilinear formalism is extensively used. The construction generalizes the known representation of M-operators in continuous-time models in terms of Lax operators and the classical r-matrix.

Original languageEnglish
Pages (from-to)1455-1475
Number of pages21
JournalTheoretical and Mathematical Physics
Issue number2
Publication statusPublished - Nov 2000
Externally publishedYes


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