Self-adjointness of Schroedinger operators with singular potentials
arXiv:1111.0809
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).
AMS-LaTeX, 8 pages; essentially revised; to appear in Meth. Funct. Anal. Topol. 18 (2012), no. 2