paper

Stability of Singular Spectral Types under Decaying Perturbations

arXiv:math/0110139

Abstract

We look at invariance of a.e. boundary condition spectral behavior under perturbations, , of half-line, continuum or discrete Schrödinger operators. We extend the results of del Rio, Simon, Stolz from compactly supported 's to suitable short-range . We also discuss invariance of the local Hausdorff dimension of spectral measures under such perturbations.

25 pages

Stability of Singular Spectral Types under Decaying Perturbations · wovepaper