{
  "id": "1305.3805",
  "version": "v1",
  "published": "2013-05-16T13:46:30.000Z",
  "updated": "2013-05-16T13:46:30.000Z",
  "title": "On contact interactions as limits of short-range potentials",
  "authors": [
    "Gerhard Bräunlich",
    "Christian Hainzl",
    "Robert Seiringer"
  ],
  "comment": "13 pages, 1 figure",
  "journal": "Meth. Funct. Anal. Top. 19, 364-375 (2013)",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We reconsider the norm resolvent limit of $-\\Delta + V_\\ell$ with $V_\\ell$ tending to a point interaction in three dimensions. We are mainly interested in potentials $V_\\ell$ modelling short range interactions of cold atomic gases. In order to ensure stability the interaction $V_\\ell$ is required to have a strong repulsive core, such that $\\lim_{\\ell \\to 0} \\int V_\\ell >0$. This situation is not covered in the previous literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-16T13:46:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "contact interactions",
      "short-range potentials",
      "cold atomic gases",
      "norm resolvent limit",
      "modelling short range interactions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.3805B"
    }
  }
}