Schr\"odinger operators with singular Gordon potentials
谱理论
2007-05-23 v1 数学物理
math.MP
摘要
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 Schr\"odinger operators with singular Gordon potentials have no point spectrum and show that a rich class of quasiperiodic distributions consists of singular Gordon potentials.
引用
@article{arxiv.math/0109130,
title = {Schr\"odinger operators with singular Gordon potentials},
author = {Rostyslav O. Hryniv and Yaroslav V. Mykytyuk},
journal= {arXiv preprint arXiv:math/0109130},
year = {2007}
}
备注
13 pages, Amslatex, to appear in Meth. Funct. Anal. Topol