BAXTER EQUATIONS AND DEFORMATION OF ABELIAN DIFFERENTIALS

BAXTER EQUATIONS AND DEFORMATION OF ABELIAN DIFFERENTIALS
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BAXTER方程和阿贝尔微分的变形

DOI:
10.1142/s0217751x04020543
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发表时间:
2003
影响因子:
1.6
通讯作者:
F. Smirnov
F. Smirnov
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
F. Smirnov

文献摘要

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本文证明了前面介绍的与量子可积系统有关的变形阿贝尔微分的重要性质。构造的起点是巴克斯特方程。特别地,我们证明了黎曼双线性关系。这种二元性在我们的思考中起着重要的作用。详细讨论了经典极限。
In this paper the proofs are given of important properties of deformed Abelian differentials introduced earlier in connection with quantum integrable systems. The starting point of the construction is the Baxter equation. In particular, we prove the Riemann bilinear relation. The duality plays an important role in our consideration. The classical limit is considered in details.