Correlation Widths in Quantum--Chaotic Scattering
Chaotic Dynamics
2011-06-27 v2 Nuclear Theory
Abstract
An important parameter to characterize the scattering matrix S for quantum-chaotic scattering is the width Gamma_{corr} of the S-matrix autocorrelation function. We show that the "Weisskopf estimate" d/(2pi) sum_c T_c (where d is the mean resonance spacing, T_c with 0 <= T_c <= 1 the "transmission coefficient" in channel c and where the sum runs over all channels) provides a very good approximation to Gamma_{corr} even when the number of channels is small. That same conclusion applies also to the cross-section correlation function.
Cite
@article{arxiv.1011.0606,
title = {Correlation Widths in Quantum--Chaotic Scattering},
author = {B. Dietz and A. Richter and H. A. Weidenmueller},
journal= {arXiv preprint arXiv:1011.0606},
year = {2011}
}