Wavefunctions in the crossover between random-matrix ensembles

Piet W. Brouwer

doi:10.1364/FIO.2003.ThB3

Frontiers in Optics
OSA Technical Digest (CD) (Optica Publishing Group, 2003),
paper ThB3
•https://doi.org/10.1364/FIO.2003.ThB3

Wavefunctions in the crossover between random-matrix ensembles

Piet W. Brouwer

Frontiers in Optics 2003

Tucson, Arizona United States
5–8 October 2003
ISBN: 1-55752-759-8

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P. W. Brouwer, "Wavefunctions in the crossover between random-matrix ensembles," in Frontiers in Optics, OSA Technical Digest (CD) (Optica Publishing Group, 2003), paper ThB3.

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Abstract

Eigenfunctions of random matrices that interpolate between the basic random matrix ensembles (orthogonal, unitary) display long-range correlations, in contrast to eigenfunctions of real or fully complex random matrices. We describe and quantify these correlations and discuss how they can be tested using microwave cavities.

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