Geometric and probabilistic aspects of boson lattice models
| dc.creator | Ueltschi, D. | |
| dc.date | 2001-03-03 | |
| dc.date.accessioned | 2026-07-07T04:28:20Z | |
| dc.date.available | 2026-07-07T04:28:20Z | |
| dc.description | This review describes quantum systems of bosonic particles moving on a lattice. These models are relevant in statistical physics, and have natural ties with probability theory. The general setting is recalled and the main questions about phase transitions are addressed. A lattice model with Lennard-Jones potential is studied as an example of a system where first-order phase transitions occur. A major interest of bosonic systems is the possibility of displaying a Bose-Einstein condensation. This is discussed in the light of the main existing rigorous result, namely its occurrence in the hard-core boson model. Finally, we consider another approach that involves the lengths of the cycles formed by the particles in the space-time representation; Bose-Einstein condensation should be related to positive probability of infinite cycles. | |
| dc.description | 22 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0103002 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0103002 | |
| dc.identifier | Progr. Probab. 51, 363-391, Birkhäuser (2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56748 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B10, 82B20, 82B26, 82B41, 60K40 | |
| dc.title | Geometric and probabilistic aspects of boson lattice models | |
| dc.type | text |