Quantum scattering in the strip: From ballistic to localized regimes

Quantum scattering is studied in a system consisting of randomly distribute d point scatterers in the strip. The model is continuous yet exactly solvab le. Varying the number of scatterers (the sample length) we investigate a t ransition between the ballistic and the localized regimes. By considering t he cylinder geometry and introducing the magnetic flux we are able to study time reversal symmetry breaking in the system. Both macroscopic (conductan ce) and microscopic (eigenphases distribution, statistics of S-matrix eleme nts) characteristics of the system are examined.