Outer automorphisms ofsl(2), integrable systems, and mappings

被引：0

作者：

A. V. Tsyganov

机构：

[1] St. Petersburg State University,Research Institute for Physics

来源：

Theoretical and Mathematical Physics | 1999年 / 118卷

关键词：

Integrable System; Spectral Curve; Outer Automorphism; Hamiltonian Integrable System; Loop Algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Outer automorphisms of infinite-dimensional representations of the Lie algebra sl(2) are used to construct Lax matrices for integrable Hamiltonian systems and discrete integrable mappings. The known results are reproduced, and new integrable systems are constructed. Classical r-matrices, corresponding to the Lax representation with the spectral parameter are dynamic. This scheme is advantageous because quantum systems naturally arise in the framework of the classical r-matrix Lax representation and the corresponding quantum mechanical problem admits a variable separation.

引用

页码：164 / 172

页数：8

共 17 条

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