On the distribution of the Wigner time delay in one-dimensional disordered systems
Disordered Systems and Neural Networks
2009-10-30 v2
Abstract
We consider the scattering by a one-dimensional random potential and derive the probability distribution of the corresponding Wigner time delay. It is shown that the limiting distribution is the same for two different models and coincides with the one predicted by random matrix theory. It is also shown that the corresponding stochastic process is given by an exponential functional of the potential.
Keywords
Cite
@article{arxiv.cond-mat/9707046,
title = {On the distribution of the Wigner time delay in one-dimensional disordered systems},
author = {Alain Comtet and Christophe Texier},
journal= {arXiv preprint arXiv:cond-mat/9707046},
year = {2009}
}
Comments
11 pages, four references added