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 …

Composed ensembles of random unitary matrices are defined via products of matrices, each
pertaining to a given canonical circular ensemble of Dyson. We investigate statistical …

We develop a statistical theory describing quantum-mechanical scattering of a particle by a
cavity when the geometry is such that the classical dynamics is chaotic. This picture is …

We measure the transmission through asymmetric and reflection-symmetric chaotic
microwave cavities in dependence on the number of attached waveguides. Ferrite cylinders …

We predict a huge interference effect contributing to the conductance through large
ultraclean quantum dots of chaotic shape. When a double-dot structure is made such that …

We show that reflection symmetry has a strong influence on quantum transport properties.
Using a random S-matrix theory approach, we derive the weak-localization correction, the …

We apply the semiclassical theory of transport to quantum dots with exact and approximate
spatial symmetries; left-right mirror symmetry, up-down mirror symmetry, inversion symmetry …

The solution of differential problems, and in particular of quantum wave equations, can in
general be performed both in the direct and in the reciprocal space. However, to achieve the …

We investigate the effect of spatial symmetries on phase coherent electronic transport
through chaotic quantum dots. For systems which have a spatial symmetry that interchanges …

We present an analysis of enhanced wave transmission through random media with mirror
symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation …