Hidden quantum R-matrix in discrete time classical Heisenberg magnet
solv-int
2007-05-23 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of the twisted quantum trigonometric 44 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with -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 -matrix.
Keywords
Cite
@article{arxiv.solv-int/9710015,
title = {Hidden quantum R-matrix in discrete time classical Heisenberg magnet},
author = {A. Zabrodin},
journal= {arXiv preprint arXiv:solv-int/9710015},
year = {2007}
}
Comments
23 pages, latex, typos corrected