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arXiv · 1809.07884

Absence of singular continuous spectrum for perturbed discrete Schrödinger operators

Wencai Liu
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Abstract

We show that the spectral measure of discrete Schrödinger 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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Wencai Liu. 2018-09-20. Absence of singular continuous spectrum for perturbed discrete Schrödinger operators. https://doi.org/10.1016/j.jmaa.2018.11.083

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