Schroedinger operators beyond the Almost Mathieu

CDSNS Colloquium
Wednesday, July 11, 2012 - 11:00am
1 hour (actually 50 minutes)
Skiles 006
Univ. of Barcelona
This talk is devoted to quasi-periodic Schr\"odinger operators beyond the Almost Mathieu, with more general potentials and interactions, considering the connections between the spectral properties of these operators and the dynamical properties of the asso- ciated quasi-periodic linear skew-products. In par- ticular, we present a Thouless formula and some consequences of Aubry duality. We illustrate the results with numerical computations. This is a join work with Joaquim Puig