Perturbations of non self-adjoint Sturm-Liouville problems, with applications to harmonic oscillators
| dc.creator | Laurence, Nedelec | |
| dc.date | 2004-06-24 | |
| dc.date | 2004-07-12 | |
| dc.date.accessioned | 2026-07-07T05:09:40Z | |
| dc.date.available | 2026-07-07T05:09:40Z | |
| dc.description | We study the behavior of the limit of the spectrum of a non self-adjoint Sturm-Liouville operator with analytic potential as the semi-classical parameter $h\to 0$. We get a good description of the spectrum and limit spectrum near $\infty$. We also study the action of one special perturbation of the operator (adding a Heaviside function), and prove that the limit spectrum is very unstable. As an illustration we describe the limit spectrum as $h\to 0$ for $P^h=-h^2Δ+i x^2$ and the effect of this perturbation. | |
| dc.description | 27 pages, 15 figures | |
| dc.identifier | https://arxiv.org/abs/math/0406491 | |
| dc.identifier | http://arxiv.org/abs/math/0406491 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71663 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Perturbations of non self-adjoint Sturm-Liouville problems, with applications to harmonic oscillators | |
| dc.type | text |