{
  "id": "1301.4986",
  "version": "v1",
  "published": "2013-01-21T20:57:50.000Z",
  "updated": "2013-01-21T20:57:50.000Z",
  "title": "On some sharp spectral inequalities for Schrödinger operators on semi-axis",
  "authors": [
    "Pavel Exner",
    "Ari Laptev",
    "Muhammad Usman"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP",
    "quant-ph"
  ],
  "abstract": "In this paper we obtain sharp Lieb-Thirring inequalities for a Schr\\\"odinger operator on semi-axis with a matrix potential and show how they can be used to other related problems. Among them are spectral inequalities on star graphs and spectral inequalities for Schr\\\"odinger operators on half-spaces with Robin boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-21T20:57:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34L15",
      "34L90"
    ],
    "keywords": [
      "sharp spectral inequalities",
      "schrödinger operators",
      "robin boundary conditions",
      "matrix potential",
      "sharp lieb-thirring inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-1885-4",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Mar",
      "volume": 326,
      "number": 2,
      "pages": 531
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CMaPh.326..531E"
    }
  }
}