Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance Scattering
Disordered Systems and Neural Networks
2020-01-03 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
Motivated by recent interest in the zeroes of S-matrix entries in the complex energy plane, I use the Heidelberg model of resonance scattering to introduce the notion of Reflection Time Difference which is shown to play the same role for the {\it zeroes} as the Wigner time delay plays for the S- matrix {\it poles}.
Keywords
Cite
@article{arxiv.1908.06920,
title = {Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance Scattering},
author = {Yan V Fyodorov},
journal= {arXiv preprint arXiv:1908.06920},
year = {2020}
}
Comments
The text is based on the presentation at the 9th Workshop on Quantum Chaos and Localization Phenomena, May 25--26, 2019, Warsaw, Poland