This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

The ongoing miniaturization of solid state devices often leads to the question:“How small
can we make resistors, transistors, etc., without changing the way they work?” The question …

A quantum dot is a sub-micron-scale conducting device containing up to several thousand
electrons. Transport through a quantum dot at low temperatures is a quantum-coherent …

We study complex eigenvalues of large symmetric random matrices of the form, where both
and are real symmetric, is a random Gaussian and is such that when. When the model can …

The statistical model proposed in an accompanying paper is generalized to treat multiport
scattering problems. Attention is first focused on two-port lossless systems and the model is …

Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …

An energy eigenfunction in a classically chaotic system is known to have spatial correlations
which (in the limit of small ħ) are governed by a microcanonical distribution in the classical …

A fundamental result in nonrelativistic quantum nonlinear dynamics is that the spectral
statistics of quantum systems that possess no geometric symmetry, but whose classical …

The statistical properties of the dynamics of energy levels are investigated in the case of two
two-dimensional disordered quantum dot models with nearest-neighbor hopping subjected …