{
  "id": "0803.0533",
  "version": "v3",
  "published": "2008-03-04T20:07:58.000Z",
  "updated": "2009-11-01T18:16:54.000Z",
  "title": "Ground State Energy of Dilute Bose Gas in Small Negative Potential Case",
  "authors": [
    "Ji Oon Lee"
  ],
  "comment": "13 pages, AMS-LaTeX",
  "journal": "J. Stat. Phys. (2009) 134:1-18",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is well known that the ground state energy of a three dimensional dilute Bose gas in the thermodynamic limit is $E=4\\pi a \\rho N$ when the particles interact via a non-negative, finite range, symmetric, two-body potential. Here, $N$ is the number of particles, $\\rho$ is the density of the gas, and $a$ is the scattering length of the potential. In this paper, we prove the same result without the non-negativity condition on the potential, provided the negative part is small.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-01T18:16:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state energy",
      "small negative potential case",
      "dimensional dilute bose gas"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.0533O"
    }
  }
}