{
  "id": "1402.6117",
  "version": "v1",
  "published": "2014-02-25T10:18:24.000Z",
  "updated": "2014-02-25T10:18:24.000Z",
  "title": "Spectral asymptotics of a strong $δ'$ interaction supported by a surface",
  "authors": [
    "Pavel Exner",
    "Michal jex"
  ],
  "comment": "13 pages, no figures",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP",
    "quant-ph"
  ],
  "abstract": "We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive $\\delta'$ interaction supported by a smooth surface in $\\R^3$, either infinite and asymptotically planar, or compact and closed. Its second term is found to be determined by a Schr\\\"odinger type operator with an effective potential expressed in terms of the interaction support curvatures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-25T10:18:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10"
    ],
    "keywords": [
      "spectral asymptotics",
      "interaction support curvatures",
      "smooth surface",
      "second term",
      "type operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physleta.2014.06.017",
      "journal": "Physics Letters A",
      "year": 2014,
      "month": "Jun",
      "volume": 378,
      "number": "30-31",
      "pages": 2091
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhLA..378.2091E"
    }
  }
}