The threshold effects for a family of Friedrichs models under rank one perturbations
| dc.creator | Albeverio, Sergio | |
| dc.creator | Lakaev, Saidakhmat N. | |
| dc.creator | Muminov, Zahriddin I. | |
| dc.date | 2006-04-12 | |
| dc.date | 2006-08-14 | |
| dc.date.accessioned | 2026-07-07T07:10:50Z | |
| dc.date.available | 2026-07-07T07:10:50Z | |
| dc.description | A family of Friedrichs models under rank one perturbations $h_μ(p),$ $p \in (-π,π]^3$, $μ>0,$ associated to a system of two particles on the three dimensional lattice $\Z^3$ is considered. We prove the existence of a unique eigenvalue below the bottom of the essential spectrum of $h_μ(p)$ for all nontrivial values of $p$ under the assumption that $h_μ(0)$ has either a threshold energy resonance (virtual level) or a threshold eigenvalue. The threshold energy expansion for the Fredholm determinant associated to a family of Friedrichs models is also obtained. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604277 | |
| dc.identifier | http://arxiv.org/abs/math/0604277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111543 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Primary: 81Q10, Secondary: 35P20, 47N50 | |
| dc.title | The threshold effects for a family of Friedrichs models under rank one perturbations | |
| dc.type | text |