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.
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页码：121 / 129
页数：9
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