Low energy effects for a family of Friedrichs models
| dc.creator | Albeverio, Sergio | |
| dc.creator | Lakaev, Saidakhmat N. | |
| dc.creator | Djumanova, Ramiza Kh. | |
| dc.date | 2006-04-12 | |
| dc.date.accessioned | 2026-07-07T07:10:50Z | |
| dc.date.available | 2026-07-07T07:10:50Z | |
| dc.description | A family of Friedrichs models with rank one perturbations $h_μ(p),$ $p \in (-π,π]^3,μ>0$ associated to a system of two particles on the lattice $\Z^3$ is considered. The existence of a unique strictly positive eigenvalue below the bottom of the essential spectrum of $h_μ(p)$ for all nontrivial values $p \in (-π,π]^3$ under the assumption that $h_μ(0)$ has either a zero energy resonance (virtual level) or a threshold eigenvalue is proved. Low energy asymptotic expansion for the Fredholm determinant associated to family of Friedrichs models is obtained. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604282 | |
| dc.identifier | http://arxiv.org/abs/math/0604282 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111545 | |
| dc.subject | Spectral Theory | |
| dc.subject | Primary: 81Q10, Secondary: 35P20, 47N50 | |
| dc.title | Low energy effects for a family of Friedrichs models | |
| dc.type | text |