Matrix Model and Stationary Problem in the Toda Chain

被引：0

作者：

A. V. Marshakov

机构：

[1] RAS,Lebedev Physics Institute

[2] Institute for Theoretical and Experimental Physics,undefined

来源：

Theoretical and Mathematical Physics | 2006年 / 146卷

关键词：

matrix models; complex geometry; integrable systems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We analyze the stationary problem for the Toda chain and show that the arising geometric data exactly correspond to the multisupport solutions of the one-matrix model with a polynomial potential. We calculate the Hamiltonians and symplectic forms for the first nontrivial examples explicitly and perform the consistency checks. We formulate the corresponding quantum problem and discuss some of its properties and prospects.

引用

页码：1 / 12

页数：11

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