Random Matrix Theory of resonances: An overview

Yan V. Fyodorov

doi:10.1109/URSI-EMTS.2016.7571486

Random Matrix Theory of resonances: An overview

Yan V. Fyodorov^*

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution › peer-review

5 Citations (Scopus)

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.

Original language	English
Title of host publication	2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	666-669
Number of pages	4
ISBN (Electronic)	9781509025022
DOIs	https://doi.org/10.1109/URSI-EMTS.2016.7571486
Publication status	Published - 19 Sept 2016
Event	2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016 - Espoo, Finland Duration: 14 Aug 2016 → 18 Aug 2016

Conference

Conference	2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
Country/Territory	Finland
City	Espoo
Period	14/08/2016 → 18/08/2016

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10.1109/URSI-EMTS.2016.7571486

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ER -

Random Matrix Theory of resonances: An overview

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