Ergodicity of unitary random-matrix ensembles

被引:0
作者
Pluhar, Z [1 ]
Weidenmüller, HA
机构
[1] Charles Univ Prague, Prague, Czech Republic
[2] Max Planck Inst Kernphys, D-69029 Heidelberg, Germany
关键词
D O I
10.1006/aphy.2000.6029
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using Efetov's supersymmetry method, we prove the ergodicity of a wide class of unitary random-matrix ensembles. We do so by showing that the connected part of the autocorrelation function of any observable vanishes asymptotically. The essential elements of the proof consist in a polar decomposition of the saddle-point manifold, in the construction of the Efetov-Wegner terms generated in this way, and in an asymptotic expansion of these terms in inverse powers of the relevant parameter. (C) 2000 Academic Press.
引用
收藏
页码:247 / 269
页数:23
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