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Random Matrix Theory of resonances: An overview

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Original languageEnglish
Title of host publication2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages666-669
Number of pages4
ISBN (Electronic)9781509025022
DOIs
Publication statusPublished - 19 Sep 2016
Event2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016 - Espoo, Finland
Duration: 14 Aug 201618 Aug 2016

Conference

Conference2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
CountryFinland
CityEspoo
Period14/08/201618/08/2016

King's Authors

Abstract

Scattering of electromagnetic waves in billiard-like systems has become a standard experimental tool of studying properties associated with Quantum Chaos. Random Matrix Theory (RMT) describing statistics of eigenfrequencies and associated eigenfunctions remains one of the pillars of theoretical understanding of quantum chaotic systems. In a scattering system coupling to continuum via antennae converts real eigenfrequencies into poles of the scattering matrix in the complex frequency plane and the associated eigenfunctions into decaying resonance states. Understanding statistics of these poles, as well as associated non-orthogonal resonance eigenfunctions within RMT approach is still possible, though much more challenging task.

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