Special Session 89: DYNAMICS AND SPECTRA OF QUASIPERIODIC SCHRODINGER OPERATORS

Semiclassical limits of quasiperiodic media

Simon Becker
ETH Zurich
Switzerland
Co-Author(s):    
Abstract:
I will review the study of continuum models of periodic media in (almost) magnetic fields and outline how the semiclassical reduction leads to generalized discrete infinite range models that are perturbations of the standard representatives in the study of quasiperiodic operators. We will consider different scaling regimes leading to different spectral problems. I will then describe how effects like metal/insulator transitions manifest themselves in the continuum.