Dilute Bose gas: short-range particle correlations and ultraviolet divergence
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0012007,
title = {Dilute Bose gas: short-range particle correlations and ultraviolet divergence},
author = {A. Yu. Cherny and A. A. Shanenko},
journal= {arXiv preprint arXiv:cond-mat/0012007},
year = {2008}
}
Comments
11 pages, REVTeX, 2 figures inserted