Hidden quantum R - matrix in discrete time classical Heisenberg magnet
نویسنده
چکیده
We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of 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 classical r-matrix.
منابع مشابه
ar X iv : s ol v - in t / 9 71 00 15 v 1 2 1 O ct 1 99 7 Hidden quantum R - matrix in discrete time classical Heisenberg magnet
We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of 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...
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تاریخ انتشار 1997