On self-adjointness of a Schroedinger operator
| dc.creator | Braverman, Maxim | |
| dc.date | 1996-07-28 | |
| dc.date | 1996-08-28 | |
| dc.date.accessioned | 2026-07-07T09:02:55Z | |
| dc.date.available | 2026-07-07T09:02:55Z | |
| dc.description | Let $M$ be a complete Riemannian manifold and let $Ω^*(M)$ denote the space of differential forms on $M$. Let $d:Ω^*(M) \to Ω^{*+1}(M)$ be the exterior differential operator and let $\Del=dd^*+d^*d$ be the Laplacian. We establish a sufficient condition for the Schroedinger operator $H=\Del+V(x)$ (where the potential $V(x):Ω^*(M)\to Ω^*(M)$ is a zero order differential operator) to be self-adjoint. Our result generalizes a theorem by Igor Oleinik about self-adjointness of a Schroedinger operator which acts on the space of scalar valued functions. | |
| dc.description | AMS-TeX, 7 pages; some minor misprints were corrected | |
| dc.identifier | https://arxiv.org/abs/funct-an/9607002 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9607002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148816 | |
| dc.subject | Functional Analysis | |
| dc.subject | Differential Geometry | |
| dc.title | On self-adjointness of a Schroedinger operator | |
| dc.type | text |