Composed ensembles of random unitary matrices

Preprint

1 February 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9707006

Abstract

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 discuss also the methods of generating random matrices distributed according to invariant Haar measure on the orthogonal and unitary group.

Keywords

RANDOM UNITARY MATRICES
STATISTICAL PROPERTIES
ENSEMBLES OF RANDOM
COMPOSED ENSEMBLES
MATRICES COMPOSED
UNITARY MATRICES

All Related Versions

Version 1, 1997-07-03, ArXiv
Version 2, 1999-02-01, ArXiv
Published version: Journal of Physics A: General Physics, 31 (3), 1059.

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