{
  "id": "1311.2136",
  "version": "v2",
  "published": "2013-11-09T05:49:11.000Z",
  "updated": "2014-03-27T04:28:04.000Z",
  "title": "On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti",
  "authors": [
    "Thomas Chen",
    "Christian Hainzl",
    "Natasa Pavlovic",
    "Robert Seiringer"
  ],
  "comment": "AMS Latex, 19 pages",
  "journal": "Lett. Math. Phys. 104, 871-891 (2014)",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii (GP) hierarchy in ${\\mathbb R}^3$. Moreover, we show that an energy growth condition commonly used in the well-posedness theory of the GP hierarchy is, in a specific sense, necessary. In fact, we prove that without the latter, there exist initial data for the focusing cubic GP hierarchy for which instantaneous blowup occurs.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-27T04:28:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "81V70"
    ],
    "keywords": [
      "gross-pitaevskii hierarchy",
      "scattering",
      "focusing cubic gp hierarchy",
      "well-posedness theory",
      "specific sense"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11005-014-0693-2",
      "journal": "Letters in Mathematical Physics",
      "year": 2014,
      "month": "Jul",
      "volume": 104,
      "number": 7,
      "pages": 871
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014LMaPh.104..871C"
    }
  }
}