Level dynamics and the ten-fold way

被引：1
|
作者：
Huckleberry, A. [1 ]
Kus, M. [2 ]
Schuetzdeller, P. [1 ]
机构：
[1] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany
[2] Ctr Fizyki Teorety PAN, PL-02668 Warsaw, Poland
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2008年 / 58卷 / 09期
关键词：
Level dynamics; Symmetric spaces; Poisson reduction; Random matrices;
D O I：
10.1016/j.geomphys.2008.04.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the parameter dynamics of eigenvalues of Hamiltonians ('level dynamics') defined on symmetric spaces relevant to condensed matter and particle physics. In particular we: (1) identify the appropriate reduced manifold on which the motion takes place, (2) identify the correct Poisson structure ensuring the Hamiltonian character of the reduced dynamics, (3) determine the canonical measure on the reduced space, (4) calculate the resulting eigenvalue density. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1231 / 1240
页数：10
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