TY -的A2 Kurasov帕维尔AU -马克思,Magali盟- Najar, Hatem PY - 2010 DA - 2010/05/25 TI - On the Singular Spectrum for Adiabatic Quasiperiodic Schrödinger Operators SP - 145436 VL - 2010 AB - We study spectral properties of a family of quasiperiodic Schrödingeroperators on the real line in the adiabatic limit. We assume that the adiabatic iso-energeticcurve has a real branch that is extended along the momentum direction. In the energy intervalswhere this happens, we obtain an asymptotic formula for the Lyapunov exponent and showthat the spectrum is purely singular. This result was conjectured and proved in a particularcase by Fedotov and Klopp (2005). SN - 1687-9120 UR - https://doi.org/10.1155/2010/145436 DO - 10.1155/2010/145436 JF - Advances in Mathematical Physics PB - Hindawi Publishing Corporation KW - ER -