On the distribution of the Wigner time delay in one-dimensional disordered systems

Details On the distribution of the Wigner time delay in one-dimensional disordered systems On the distribution of the Wigner time delay in one-dimensional disordered systems

1997-07-04

arxiv.org/abs/cond-mat/9707046v2

J. Phys. A: Math. Gen. 30 (1997), 8017

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, four references added

Scientific paper

10.1088/0305-4470/30/23/005

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.

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