Binding energies of semirelativistic N-boson systems
| dc.creator | Hall, Richard L. | |
| dc.creator | Lucha, Wolfgang | |
| dc.date | 2007-04-26 | |
| dc.date.accessioned | 2026-07-07T10:35:43Z | |
| dc.date.available | 2026-07-07T10:35:43Z | |
| dc.description | General analytic energy bounds are derived for N-boson systems governed by semirelativistic Hamiltonians of the form H=\sum_{i=1}^N \sqrt(p_i^2+m^2) + \sum_{1=i<j}^N V(r_{ij}), where V(r) is a static attractive pair potential. A translation-invariant model Hamiltonian H_c is constructed. We conjecture that <H> \ge <H_c> generally, and we prove this for N=3, and for N=4 when m=0. The conjecture is also valid generally for the harmonic oscillator and in the nonrelativistic large-m limit. This formulation allows reductions to scaled 3- or 4-body problems, whose spectral bottoms provide energy lower bounds. The example of the ultrarelativistic linear potential is studied in detail and explicit upper- and lower-bound formulas are derived and compared with earlier bounds. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0704.3580 | |
| dc.identifier | http://arxiv.org/abs/0704.3580 | |
| dc.identifier | J.Phys.A40:6183-6192,2007 | |
| dc.identifier | doi:10.1088/1751-8113/40/23/012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179819 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Binding energies of semirelativistic N-boson systems | |
| dc.type | text |