Number of eigenvalues for a class of non-selfadjoint Schrödinger operators
| dc.creator | Wang, Xue Ping | |
| dc.date | 2009-02-05 | |
| dc.date | 2009-04-03 | |
| dc.date.accessioned | 2026-07-07T13:00:34Z | |
| dc.date.available | 2026-07-07T13:00:34Z | |
| dc.description | In this article, we prove the finiteness of the number of eigenvalues for a class of Schrödinger operators $H = -Δ+ V(x)$ with a complex-valued potential $V(x)$ on $\bR^n$, $n \ge 2$. If $\Im V$ is sufficiently small, $\Im V \le 0$ and $\Im V \neq 0$, we show that $N(V) = N(\Re V)+ k$, where $k$ is the multiplicity of the zero resonance of the selfadjoint operator $-Δ+ \Re V$ and $N(W)$ the number of eigenvalues of $-Δ+ W$, counted according to their algebraic multiplicity. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0902.0921 | |
| dc.identifier | http://arxiv.org/abs/0902.0921 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225881 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35J10, 35P15, 47A55 | |
| dc.title | Number of eigenvalues for a class of non-selfadjoint Schrödinger operators | |
| dc.type | text |