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arXiv 0912.2163math-phcond-mat.stat-mechhep-thmath.MP
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八顶点模型和Painlevé VI方程。II。特征向量结果

Eight-vertex model and Painlevé VI equation. II. Eigenvector results

Vladimir V. Mangazeev, Vladimir V. Bazhanov

摘要:

本文研究了奇长周期链上的一种特殊的各向异性XYZ模型,并推测了该模型的基态本征矢的某些分量的精确表达式。结果写在τ函数与皮卡德的椭圆解的Painlevé VI方程。与八顶点模型有关的其他问题的连接进行了简要讨论。

英文摘要:

We study a special anisotropic XYZ-model on a periodic chain of an odd length and conjecture exact expressions for certain components of the ground state eigenvectors. The results are written in terms of tau-functions associated with Picard's elliptic solutions of the Painlevé VI equation. Connections with other problems related to the eight-vertex model are briefly discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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