On the number of eigenvalues of a model operator associated to a system of three-particles on lattices
| dc.creator | Albeverio, Sergio | |
| dc.creator | Lakaev, Saidakhmat N. | |
| dc.creator | Muminov, Zahriddin I. | |
| dc.date | 2005-08-14 | |
| dc.date | 2006-08-14 | |
| dc.date.accessioned | 2026-07-07T06:42:19Z | |
| dc.date.available | 2026-07-07T06:42:19Z | |
| dc.description | A model operator $H$ associated to a system of three-particles on the three dimensional lattice $\Z^3$ and interacting via pair non-local potentials is studied. The following results are proven: (i) the operator $H$ has infinitely many eigenvalues lying below the bottom of the essential spectrum and accumulating at this point, in the case, where both Friedrichs model operators $h_{μ_α}(0),α=1,2,$ have threshold resonances. (ii) the operator $H$ has a finite number of eigenvalues lying outside of the essential spectrum, in the case, where at least one of $h_{μ_α}(0), α=1,2,$ has a threshold eigenvalue. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0508029 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0508029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101994 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.subject | Primary: 81Q10, Secondary: 35P20, 47N50 | |
| dc.title | On the number of eigenvalues of a model operator associated to a system of three-particles on lattices | |
| dc.type | text |