TY - CHAP
T1 - Random Matrix Theory of resonances
T2 - 2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
AU - Fyodorov, Yan V.
PY - 2016/9/19
Y1 - 2016/9/19
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84992128522&partnerID=8YFLogxK
U2 - 10.1109/URSI-EMTS.2016.7571486
DO - 10.1109/URSI-EMTS.2016.7571486
M3 - Other chapter contribution
AN - SCOPUS:84992128522
SP - 666
EP - 669
BT - 2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 14 August 2016 through 18 August 2016
ER -