{
  "id": "cond-mat/9903073",
  "version": "v2",
  "published": "1999-03-04T14:16:56.000Z",
  "updated": "1999-03-16T11:39:41.000Z",
  "title": "The Dilute Bose Gas Revised",
  "authors": [
    "A. Yu. Cherny",
    "A. A. Shanenko"
  ],
  "comment": "REVTeX, 4 pages, no figures, submitted to Phys. Rev. A",
  "journal": "Phys. Rev. E 60 (1999) R5.",
  "doi": "10.1103/PhysRevE.60.R5",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "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=2\\pi \\hbar^2 a n/m [1+128/(15 \\sqrt{\\pi})\\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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-03-16T11:39:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dilute bose gas",
      "arbitrary strong interaction",
      "thermodynamic inconsistency",
      "well-known results",
      "reduced density matrix"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}