A Conjecture that Relates Quantum Chaotic Scattering in the Presence and in the Absence of Direct Processes

Preprint
Publisher Website
Google Scholar
  • 20 July 1997
Abstract
We propose a conjecture that relates the statistical properties of the scattering matrix for quantum chaotic scattering in the presence and in the absence of direct processes. The conjecture has been proved only for one-energy distributions. Here it is verified using numerical simulations in two cases: a) Wigner's time delay distributions for one-dimensional S matrices and the three universality classes; b) the two-energy autocorrelation for one and two-dimensional S matrices. The conjecture is appealing because of its conceptual simplicity; its validity would imply that future calculations could be restricted to the simpler case of no direct processes.

This publication has 0 references indexed in Scilit: