The Dilute Bose Gas Revised
| dc.creator | Cherny, A. Yu. | |
| dc.creator | Shanenko, A. A. | |
| dc.date | 1999-03-04 | |
| dc.date | 1999-03-16 | |
| dc.date.accessioned | 2026-07-07T03:12:57Z | |
| dc.date.available | 2026-07-07T03:12:57Z | |
| dc.description | The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject. The aim of our paper is to propose a new way of treating the dilute Bose gas with an arbitrary strong interaction. Using the reduced density matrix of the second order and a variational procedure, this way allows us to escape the inconsistency mentioned and operate with singular potentials of the Lennard-Jones type. The derived expansion of the condensate depletion in powers of the boson density n=N/V reproduces the familiar result, while the expansion for the mean energy per particle is of the new form: E=2π\hbar^2 a n/m [1+128/(15 \sqrtπ)\sqrt{na^3}(1-5b/8a)+ ...], where a is the scattering length and b>0 stands for one more characteristic length depending on the shape of the interaction potential (in particular, for the hard spheres a=b). All the consideration concerns the zero temperature. | |
| dc.description | REVTeX, 4 pages, no figures, submitted to Phys. Rev. A | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9903073 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9903073 | |
| dc.identifier | Phys. Rev. E 60 (1999) R5. | |
| dc.identifier | doi:10.1103/PhysRevE.60.R5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29108 | |
| dc.subject | Statistical Mechanics | |
| dc.title | The Dilute Bose Gas Revised | |
| dc.type | text |