基于r -矩阵恒等式的Landau-Lifshitz型经典可积自旋链

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

JETP Letters Pub Date : 2025-06-10 DOI:10.1134/S0021364025606967

D. Domanevsky, A. Zotov

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引用次数: 0

摘要

对于谱参数满足半离散Zakharov-Shabat方程的U-V （Lax）对，利用ansatz描述了一类1+1经典可积空间离散的Landau-Lifshitz型模型。U-V对的分析是基于\(R\) -矩阵满足结合式Yang-Baxter方程和某些附加性质。使用一组\(R\) -矩阵恒等式获得运动方程。在连续极限下，我们再现了先前已知的高阶朗多-利夫希茨方程族。

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Classical Integrable Spin Chains of Landau–Lifshitz Type from R-Matrix Identities

We describe a family of 1+1 classical integrable space-discrete models of the Landau–Lifshitz type through the usage of ansatz for U–V (Lax) pair with spectral parameter satisfying the semi-discrete Zakharov–Shabat equation. The ansatz for U–V pair is based on \(R\)-matrices satisfying the associative Yang–Baxter equation and certain additional properties. Equations of motion are obtained using a set of \(R\)-matrix identities. In the continuous limit we reproduce the previously known family of the higher rank Landau–Lifshitz equations.

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来源期刊

JETP Letters 物理-物理：综合

CiteScore

2.40

自引率

30.80%

发文量

164

审稿时长

3-6 weeks

期刊介绍： All topics of experimental and theoretical physics including gravitation, field theory, elementary particles and nuclei, plasma, nonlinear phenomena, condensed matter, superconductivity, superfluidity, lasers, and surfaces.