Alexander Ossipov

Scattering approach to Anderson localisation

I will present a new approach to the Anderson localisation problem,
which is based on the scattering formalism. In particular, I will derive
the Fokker-Planck equation for the distribution of the proper delay
times and the evolution equation for their density at weak disorder and
arbitrary dimensionality. A complete analytical solution of the latter
equation will be presented and explicit results for the density of the
delay times in the localised and diffusive regimes will be discussed.