2005/08/06 by Tsampikos Kottos · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1088/0305-4470/38/49/018
30 pages, 15 figures (submitted to Journal of Phys. A: Math. and General, special issue on "Aspects of Quantum Chaotic Scattering")
arxiv created 2005/08/06 · arxiv updated 2009/12/01
We review recent developments on quantum scattering from mesoscopic systems. Various spatial geometries whose closed analogs shows diffusive, localized or critical behavior are considered. These are features that cannot be described by the universal Random Matrix Theory results. Instead one has to go beyond this approximation and incorporate them in a non-perturbative way. Here, we pay particular emphasis to the traces of these non-universal characteristics, in the distribution of the Wigner delay times and resonance widths. The former quantity captures time dependent aspects of quantum scattering while the latter is associated with the poles of the scattering matrix.