Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate potential
| dc.creator | Camus, Brice | |
| dc.date | 2004-06-24 | |
| dc.date | 2005-04-22 | |
| dc.date.accessioned | 2026-07-07T04:31:17Z | |
| dc.date.available | 2026-07-07T04:31:17Z | |
| dc.description | We study the semi-classical trace formula at a critical energy level for a Schrödinger operator on $\mathbb{R}^{n}$. We assume here that the potential has a totally degenerate critical point associated to a local minimum. The main result, which computes the contribution of this equilibrium, is valid for all time in a compact and establishes the existence of a total asymptotic expansion whose top order coefficient depends only on the germ of the potential at the critical point. | |
| dc.description | 15 pages, minor changes | |
| dc.identifier | https://arxiv.org/abs/math-ph/0406058 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0406058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57760 | |
| dc.subject | Mathematical Physics | |
| dc.title | Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate potential | |
| dc.type | text |