Werner Kirsch, Ivan Veselic'
Published 2002-04-15Version 1
We study spectral properties of Schr\"odinger operators with random potentials of alloy type on $L^2(\RR)$ and their restrictions to finite intervals. A Wegner estimate for non-negative single site potentials with small support is proven. It implies the existence and local uniform boundedness of the density of states. Our estimate is valid for all bounded energy intervals. Wegner estimates play a key role in an existence proof of pure point spectrum.
Comments: See also mp_arc, 02-144. In a different version to appear in the proceedings of the QMath-8 Conference, Taxco, Mexico, 2001
A Floquet Operator with Pure Point Spectrum and Energy Instability
Existence of the density of states for some alloy type models with single site potentials of changing sign
Bounds on the Pure Point Spectrum of Lattice Schrödinger Operators
