dorsal/arxiv
View SchemaHidden quantum R-matrix in discrete time classical Heisenberg magnet
| Authors | A. Zabrodin |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9710015 |
| URL | https://arxiv.org/abs/solv-int/9710015 |
Abstract
We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of the twisted quantum trigonometric 4$\times$4 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with $\tau$-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.
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"date_created": "2026-03-02T18:02:50.898000Z",
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"abstract": "We construct local M-operators for an integrable discrete time version of the\nclassical Heisenberg magnet by convolution of the twisted quantum trigonometric\n4$\\times$4 R-matrix with certain vectors in its \"quantum\" space. Components of\nthe vectors are identified with $\\tau$-functions of the model. Hirota\u0027s\nbilinear formalism is extensively used. The construction generalizes the known\nrepresentation of M-operators in continuous time models in terms of Lax\noperators and classical $r$-matrix.",
"arxiv_id": "solv-int/9710015",
"authors": [
"A. Zabrodin"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"title": "Hidden quantum R-matrix in discrete time classical Heisenberg magnet",
"url": "https://arxiv.org/abs/solv-int/9710015"
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