Ground state of the hard-core Bose gas on lattice I. Energy estimates
| dc.creator | Suto, Andras | |
| dc.date | 1999-05-28 | |
| dc.date.accessioned | 2026-07-07T03:13:34Z | |
| dc.date.available | 2026-07-07T03:13:34Z | |
| dc.description | We investigate the properties of the ground state of a system of interacting bosons on regular lattices with coordination number $k\geq 2$. The interaction is a pure, infinite, on-site repulsion. Our concern is to give an improved upper bound on the ground state energy per site. For a density $ρ$ a trivial upper bound is known to be $-kρ(1-ρ)$. We obtain a smaller variational bound within a reasonably large family of trial functions. The estimates make use of a large deviation principle for the energy of the Ising model on the same lattice. | |
| dc.description | 17 pages, 4 tables | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9905421 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9905421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29346 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Ground state of the hard-core Bose gas on lattice I. Energy estimates | |
| dc.type | text |