{
  "id": "math-ph/9910033",
  "version": "v2",
  "published": "1999-10-20T21:58:03.000Z",
  "updated": "2000-08-20T22:15:50.000Z",
  "title": "The Ground State Energy of a Dilute Bose Gas",
  "authors": [
    "Elliott H. Lieb",
    "Jakob Yngvason"
  ],
  "comment": "A few corrections to Eqs. 3.21 and 3.33--3.36 in the printed version have been made",
  "journal": "Published in {\\it Differential Equations and Mathematical Physics, University of Alabama, Birmingham, 1999}, R. Weikard and G. Weinstein, eds., 271-282 Amer. Math. Soc./Internat. Press (2000). eds., 271-282 Amer. Math. Soc./Internat. Press (2000)",
  "categories": [
    "math-ph",
    "cond-mat",
    "math.MP"
  ],
  "abstract": "According to a formula that was put forward many decades ago the ground state energy per particle of an interacting, dilute Bose gas at density $\\rho$ is $2\\pi\\hbar^2\\rho a/m$ to leading order in $\\rho a^3\\ll 1$, where $a$ is the scattering length of the interaction potential and $m$ the particle mass. This result, which is important for the theoretical description of current experiments on Bose-Einstein condensation, has recently been established rigorously for the first time. We give here an account of the proof that applies to nonnegative, spherically symmetric potentials decreasing faster than $1/r^3$ at infinity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-08-20T22:15:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V70",
      "35Q55",
      "46N50"
    ],
    "keywords": [
      "dilute bose gas",
      "ground state energy",
      "spherically symmetric potentials decreasing faster",
      "interaction potential",
      "current experiments"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.ph..10033L"
    }
  }
}