%0 Journal Article
%T Quantum mechanical time-delay matrix in chaotic scattering
%A P. W. Brouwer
%A K. M. Frahm
%A C. W. J. Beenakker
%J Physics
%D 1997
%I arXiv
%R 10.1103/PhysRevLett.78.4737
%X We calculate the probability distribution of the matrix Q = -i \hbar S^{-1} dS/dE for a chaotic system with scattering matrix S at energy E. The eigenvalues \tau_j of Q are the so-called proper delay times, introduced by E. P. Wigner and F. T. Smith to describe the time-dependence of a scattering process. The distribution of the inverse delay times turns out to be given by the Laguerre ensemble from random-matrix theory.
%U http://arxiv.org/abs/chao-dyn/9705015v1