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On Confining Potentials and Essential Self-Adjointness for Schrödinger Operators on Bounded Domains in({mathbb{R}}^n)

✍ Scribed by Gheorghe Nenciu; Irina Nenciu


Publisher
Springer
Year
2009
Tongue
English
Weight
526 KB
Volume
10
Category
Article
ISSN
1424-0637

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Essential Self-Adjointness for Semi-boun
✍ Mikhail Shubin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 182 KB

We prove essential self-adjointness for semi-bounded below magnetic Schrödinger operators on complete Riemannian manifolds with a given positive smooth measure which is fixed independently of the metric. Some singularities of the scalar potential are allowed. This is an extension of the Povzner-Wien