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Random Matrix Theory of Scattering in Chaotic and Disordered Media
We review the random matrix theory describing elastic scattering through
zero-dimensional ballistic cavities (having chaotic classical dynamics) and
quasi-one dimensional disordered systems. In zero dimension, general symmetry
considerations (flux conservation and time reversal symmetry) are only
considered, while the combination law of scatterers put in series is taken into
account in quasi-one dimension. Originally developed for calculating the
distribution of the electrical conductance of mesoscopic systems, this theory
naturally reveals the universal behaviors characterizing elastic scattering of
various scalar waves.Comment: 17 pages, review articl