Essential self-adjointness of Schrödinger-type operators
✍ Scribed by A Devinatz
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 608 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
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
Given a separable, locally compact Hausdorff space X and a positive Radon measure m(dx) on it, we study the problem of finding the potential V(x) 0 that maximizes the first eigenvalue of the Schro dinger-type operator L+V(x); L is the generator of a local Dirichlet form (a, D[a]) on L 2 (X, m(dx)).