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Self-adjointness of Schroedinger operators with singular potentials

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Type
Preprint
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Submission Date
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arXiv ID: 1111.0809
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arXiv
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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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