Eigenvalue-dynamics off the Calogero-Moser system

被引：9

作者：

Arnlind, J ^{[1
]}

Hoppe, J ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2004年 / 68卷 / 02期

关键词：

eigenvalue dynamics; symmetric matrix; integrable systems;

D O I：

10.1023/B:MATH.0000043320.41280.76

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By finding N(N-1)/2 suitable conserved quantities, free motions of real symmetric N x N matrices X(t), with arbitrary initial conditions, are reduced to nonlinear equations involving only the eigenvalues of X-in contrast to the rational Calogero-Moser system, for which [X(0), X(0)] has to be purely imaginary, of rank one.

引用

页码：121 / 129

页数：9

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