Self-adjointness of Schroedinger operators with singular potentials
Spectral Theory
2012-03-23 v2 Functional Analysis
Abstract
We study one-dimensional Schroedinger operators S with real-valued distributional potentials q in W^{-1}_{2,loc}(R) and prove an extension of the Povzner-Wienholtz theorem on self-adjointness of bounded below S thus providing additional information on its domain. The results are further specified for q in W^{-1}_{2,unif}(R).
Cite
@article{arxiv.1111.0809,
title = {Self-adjointness of Schroedinger operators with singular potentials},
author = {Rostyslav O. Hryniv and Yaroslav V. Mykytyuk},
journal= {arXiv preprint arXiv:1111.0809},
year = {2012}
}
Comments
AMS-LaTeX, 8 pages; essentially revised; to appear in Meth. Funct. Anal. Topol. 18 (2012), no. 2