ON THE DISTRIBUTION OF THE WIGNER TIME-DELAY IN ONE-DIMENSIONAL DISORDERED-SYSTEMS

Authors
Citation
A. Comtet et C. Texier, ON THE DISTRIBUTION OF THE WIGNER TIME-DELAY IN ONE-DIMENSIONAL DISORDERED-SYSTEMS, Journal of physics. A, mathematical and general, 30(23), 1997, pp. 8017-8025
Citations number
30
Categorie Soggetti
Physics,"Physycs, Mathematical
ISSN journal
03054470
Volume
30
Issue
23
Year of publication
1997
Pages
8017 - 8025
Database
ISI
SICI code
0305-4470(1997)30:23<8017:OTDOTW>2.0.ZU;2-D
Abstract
We consider the scattering by a one-dimensional random potential and d erive the probability distribution of the corresponding Wigner time de lay. It is shown that the limiting distribution is the same for two di fferent models and coincides with the one predicted by random matrix t heory. It is also shown that the corresponding stochastic process is g iven by an exponential functional of the potential.