{
  "id": "math-ph/0612028",
  "version": "v1",
  "published": "2006-12-10T09:29:56.000Z",
  "updated": "2006-12-10T09:29:56.000Z",
  "title": "Rigorous Derivation of the Gross-Pitaevskii Equation",
  "authors": [
    "Laszlo Erdos",
    "Benjamin Schlein",
    "Horng-Tzer Yau"
  ],
  "comment": "4 pages, 1 figure",
  "doi": "10.1103/PhysRevLett.98.040404",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The time dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schroedinger equation with a short scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short scale correlation structure in the condensate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-10T09:29:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "81Q15",
      "81T18",
      "81V70"
    ],
    "keywords": [
      "rigorous derivation",
      "explicit short scale correlation structure",
      "many-body bosonic schroedinger equation",
      "time dependent gross-pitaevskii equation",
      "short scale repulsive interaction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}