Absence of singular continuous spectrum for perturbed discrete Schrdinger operators
Institutional Repository Document
Overview
Research
Other
View All
Overview
abstract
We show that the spectral measure of discrete Schr"odinger operators $ (Hu)(n)= u({n+1})+u({n-1})+V(n)u(n)$ does not have singular continuous component if the potential $V(n)=O(n^{-1})$.