Absence of singular continuous spectrum for perturbed discrete Schrdinger operators Institutional Repository Document uri icon

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 $V(n)=O(n^{-1})$.

author list (cited authors)

  • Liu, W.

citation count

  • 0

complete list of authors

  • Liu, Wencai

Book Title

  • arXiv

publication date

  • September 2018