On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics
| dc.creator | Albeverio, Sergio | |
| dc.creator | Lakaev, Saidakhmat N. | |
| dc.creator | Rasulov, Tulkin H. | |
| dc.date | 2005-08-14 | |
| dc.date.accessioned | 2026-07-07T04:32:16Z | |
| dc.date.available | 2026-07-07T04:32:16Z | |
| dc.description | A model operator $H$ associated with the energy operator of a system describing three particles in interaction, without conservation of the number of particles, is considered. The precise location and structure of the essential spectrum of $H$ is described. The existence of infinitely many eigenvalues below the bottom of the essential spectrum of $H$ is proved for the case where an associated generalized Friedrichs model has a resonance at the bottom of its essential spectrum. An asymptotics for the number $N(z)$ of eigenvalues below the bottom of the essential spectrum is also established. The finiteness of eigenvalues of $H$ below the bottom of the essential spectrum is proved if the associated generalized Friedrichs model has an eigenvalue with energy at the bottom of its essential spectrum. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0508028 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0508028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58127 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Functional Analysis | |
| dc.subject | Primary: 81Q10, Secondary: 35P20, 47N50 | |
| dc.title | On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics | |
| dc.type | text |