%0 Journal Article
%T On absolute continuity of the spectrum of periodic Schr£żdinger operators
%A Ihyeok Seo
%J Mathematics
%D 2014
%I arXiv
%X In this paper we find a new condition on a real periodic potential for which the self-adjoint Schr\"odinger operator may be defined by a quadratic form and the spectrum of the operator is purely absolutely continuous. This is based on resolvent estimates and spectral projection estimates in weighted $L^2$ spaces on the torus, and an oscillatory integral theorem.
%U http://arxiv.org/abs/1406.3419v4