Composed ensembles of random unitary matrices

被引:114
作者
Pozniak, M
Zyczkowski, K
Kus, M
机构
[1] Jagiellonian Univ, Inst Matemat, PL-30057 Krakow, Poland
[2] Jagiellonian Univ, Inst Fiz M Smoluchowskiego, PL-30057 Krakow, Poland
[3] Polska Akad Nauk, Centrum Fiz Teoret, PL-02668 Warsaw, Poland
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 03期
关键词
D O I
10.1088/0305-4470/31/3/016
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Composed ensembles of random unitary matrices are defined via products of matrices, each pertaining to a given canonical circular ensemble of Dyson. We investigate statistical properties of spectra of some composed ensembles and demonstrate their physical relevance. We also discuss the methods of generating random matrices distributed according to invariant Haar measure on the orthogonal and unitary group.
引用
收藏
页码:1059 / 1071
页数:13
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