Perturbations of selfadjoint operators with periodic classical flow
| dc.creator | Sjoestrand, Johannes | |
| dc.date | 2003-03-03 | |
| dc.date.accessioned | 2026-07-07T04:55:42Z | |
| dc.date.available | 2026-07-07T04:55:42Z | |
| dc.description | We consider non-selfadjoint perturbations of a self-adjoint $h$-pseudodifferential operator in dimension 2. In the present work we treat the case when the classical flow of the unperturbed part is periodic and the strength $ε$ of the perturbation satisfies $h^{δ_0} <ε\le ε_0$ for some $δ_0\in ]0,1/2[$ and a sufficiently small $ε_0>0$. We get a complete asymptotic description of all eigenvalues in certain rectangles $[-1/C,1/C]+iε[F_0-1/C,F_0+1/C]$. In particular we are able to treat the case when $ε>0$ is small but independent of $h$. | |
| dc.identifier | https://arxiv.org/abs/math/0303023 | |
| dc.identifier | http://arxiv.org/abs/math/0303023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66674 | |
| dc.subject | Spectral Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 32A25; 34M99; 35P20; 35Q40; 37G99 | |
| dc.title | Perturbations of selfadjoint operators with periodic classical flow | |
| dc.type | text |