paper

Schrödinger operators with singular Gordon potentials

arXiv:math/0109130

Abstract

Singular Gordon potentials are defined to be distributions from the space W^{-1}_{2,unif}(R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger operators with singular Gordon potentials have no point spectrum and show that a rich class of quasiperiodic distributions consists of singular Gordon potentials.

13 pages, Amslatex, to appear in Meth. Funct. Anal. Topol

Schrödinger operators with singular Gordon potentials · wovepaper