Toda chain, Stieltjes function, and orthogonal polynomials

被引：0

作者：

F. Peherstorfer

V. P. Spiridonov

A. S. Zhedanov

机构：

[1] Johannes Kepler Universitat Linz,Institut für Analysis und Numerik

[2] Joint Institute for Nuclear Research,undefined

[3] Donetsk Institute for Physics and Technology,undefined

来源：

Theoretical and Mathematical Physics | 2007年 / 151卷

关键词：

integrable system; Toda chain; orthogonal polynomial;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We discuss relations between the theory of orthogonal polynomials, Hankel determinants, and the unrestricted one-dimensional Toda chain. In particular, we show that the equations of motion for the Toda chain are equivalent to a Riccati equation for the Stieltjes function. We consider some examples of the Stieltjes function with an explicit (hypergeometric and elliptic) time dependence in detail.

引用

页码：505 / 528

页数：23

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