Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians
| dc.creator | Golénia, Sylvain | |
| dc.date | 2008-06-24 | |
| dc.date | 2008-07-08 | |
| dc.date.accessioned | 2026-07-07T09:48:34Z | |
| dc.date.available | 2026-07-07T09:48:34Z | |
| dc.description | We perform the spectral analysis of a zero temperature Pauli-Fierz system for small coupling constants. Under the hypothesis of Fermi golden rule, we show that the embedded eigenvalues of the uncoupled system disappear and establish a limiting absorption principle above this level of energy. We rely on a positive commutator approach introduced by Skibsted and pursued by Georgescu-Gerard-Moller. We complete some results obtained so far by Derezinski-Jaksic on one side and by Bach-Froehlich-Segal-Soffer on the other side. | |
| dc.description | 28 pages. References added and few typos corrected | |
| dc.identifier | https://arxiv.org/abs/0806.3992 | |
| dc.identifier | http://arxiv.org/abs/0806.3992 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164262 | |
| dc.subject | Mathematical Physics | |
| dc.title | Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians | |
| dc.type | text |