Dilute Bose gas: short-range particle correlations and ultraviolet divergence
| dc.creator | Cherny, A. Yu. | |
| dc.creator | Shanenko, A. A. | |
| dc.date | 2000-12-01 | |
| dc.date.accessioned | 2026-07-07T09:21:16Z | |
| dc.date.available | 2026-07-07T09:21:16Z | |
| dc.description | The modified Bogoliubov model where the primordial interaction is replaced by the t matrix is reinvestigated. It is shown to provide a negative value of the kinetic energy for a strongly interacting dilute Bose gas, contrary to the original Bogoliubov model. To clear up the origin of this failure, the correct values of the kinetic and interaction energies of a dilute Bose gas are calculated. It is demonstrated that both the problem of the negative kinetic energy and the ultraviolet divergence, dating back to the well-known paper of Lee, Yang and Huang, is connected with an inadequate picture of the short-range boson correlations. These correlations are reconsidered within the thermodynamically consistent model proposed earlier by the present authors. Found results are in absolute agreement with the data of the Monte-Carlo calculations for the hard-sphere Bose gas. | |
| dc.description | 11 pages, REVTeX, 2 figures inserted | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0012007 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0012007 | |
| dc.identifier | Eur. Phys. J. B 19, 555 (2001) | |
| dc.identifier | doi:10.1007/s100510170301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154961 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Dilute Bose gas: short-range particle correlations and ultraviolet divergence | |
| dc.type | text |