The Spectral Autocorrelation Function in Weakly Open Chaotic Systems: Indirect Photodissociation of Molecules
chao-dyn
2016-09-28 v1 Condensed Matter
Chaotic Dynamics
Abstract
We derive the statistical limit of the spectral autocorrelation function and of the survival probability for the indirect photodissociation of molecules in the regime of non-overlapping resonances. The results are derived in the framework of random matrix theory, and hold more generally for any chaotic quantum system that is weakly coupled to the continuum. The "correlation hole" that characterizes the spectral autocorrelation in the bound molecule diminishes as the typical average total width of a resonance increases.
Keywords
Cite
@article{arxiv.chao-dyn/9808003,
title = {The Spectral Autocorrelation Function in Weakly Open Chaotic Systems: Indirect Photodissociation of Molecules},
author = {Y. Alhassid and Yan V. Fyodorov},
journal= {arXiv preprint arXiv:chao-dyn/9808003},
year = {2016}
}
Comments
13 pages, 1 Postscript figure included, RevTex