Henrik Ueberschär: Spectral geometry of tori with random impurities
Time: Wed 2015-09-23 13.15
Location: Seminarierum 3721, Lindstedtsvägen 25, KTH
Participating: Henrik Ueberschär, Max Planck Institute of Mathematics, Bonn
Abstract- An important object of study in the theory of disordered quantum systems are Schroedinger operators with a random potential. In 1958, Anderson discovered that for sufficiently strong disorder their eigenfunctions could be exponentially localized at the bottom of the spectrum. A major question in the mathematical physics of disordered systems considers the existence of a delocalization transition. I. e. if the disorder is sufficiently weak compared with the energy do there exist delocalized eigenfunctions? I will address this question in the case of Poisson distributed random delta potentials.