{
  "id": "0908.0109",
  "version": "v2",
  "published": "2009-08-02T05:09:29.000Z",
  "updated": "2010-03-10T19:47:00.000Z",
  "title": "A Lower Bound on the Ground State Energy of Dilute Bose Gas",
  "authors": [
    "Ji Oon Lee",
    "Jun Yin"
  ],
  "comment": "26 pages, AMS LaTex",
  "journal": "J. Math. Phys. 51, 053302 (2010)",
  "doi": "10.1063/1.3376639",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Consider an N-Boson system interacting via a two-body repulsive short-range potential $V$ in a three dimensional box $\\Lambda$ of side length $L$. We take the limit $N, L \\to \\infty$ while keeping the density $\\rho = N / L^3$ fixed and small. We prove a new lower bound for its ground state energy per particle $$\\frac{E(N, \\Lambda)}{N} \\geq 4 \\pi a \\rho [ 1 - O(\\rho^{1/3} |\\log \\rho|^3) ],$$ as $\\rho \\to 0$, where $a$ is the scattering length of $V$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-10T19:47:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.30.Jp"
    ],
    "keywords": [
      "ground state energy",
      "dilute bose gas",
      "lower bound",
      "two-body repulsive short-range potential",
      "n-boson system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2010,
      "month": "May",
      "volume": 51,
      "number": 5,
      "pages": 3302
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JMP....51e3302L"
    }
  }
}