Absence of singular continuous spectrum for perturbed discrete Schr\"odinger operators
classification
🧮 math-ph
math.MPmath.SP
keywords
continuousdiscreteodingeroperatorsschrsingularabsencecomponent
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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 $V(n)=O(n^{-1})$.
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