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arXiv · 1111.0809

Self-adjointness of Schroedinger operators with singular potentials

Rostyslav O. Hryniv·Yaroslav V. Mykytyuk
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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).

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Rostyslav O. Hryniv, Yaroslav V. Mykytyuk. 2011-11-03. Self-adjointness of Schroedinger operators with singular potentials. https://arxiv.org/abs/1111.0809

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