Weak Coupling and Spectral Instability for Neumann Laplacians
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929542589841408 |
|---|---|
| author | Behrndt, Jussi Gesztesy, Fritz de Snoo, Henk |
| author_facet | Behrndt, Jussi Gesztesy, Fritz de Snoo, Henk |
| contents | We prove an abstract criterion on spectral instability of nonnegative selfadjoint extensions of a symmetric operator and apply this to self-adjoint Neumann Laplacians on bounded Lipschitz domains, intervals, and graphs. Our results can be viewed as variants of the classical weak coupling phenomenon for Schrödinger operators in $L^2(\mathbb R^n)$ for $n=1,2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak Coupling and Spectral Instability for Neumann Laplacians Behrndt, Jussi Gesztesy, Fritz de Snoo, Henk Spectral Theory We prove an abstract criterion on spectral instability of nonnegative selfadjoint extensions of a symmetric operator and apply this to self-adjoint Neumann Laplacians on bounded Lipschitz domains, intervals, and graphs. Our results can be viewed as variants of the classical weak coupling phenomenon for Schrödinger operators in $L^2(\mathbb R^n)$ for $n=1,2$. |
| title | Weak Coupling and Spectral Instability for Neumann Laplacians |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2406.18911 |