{
  "id": "0710.1877",
  "version": "v1",
  "published": "2007-10-09T21:05:31.000Z",
  "updated": "2007-10-09T21:05:31.000Z",
  "title": "Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials",
  "authors": [
    "Rupert L. Frank",
    "Elliott H. Lieb",
    "Robert Seiringer"
  ],
  "comment": "Dedicated to Jean-Claude Cortet, in appreciation of his contribution to Letters in Mathematical Physics",
  "journal": "Lett. Math. Phys. 82, 107 (2007)",
  "doi": "10.1007/s11005-007-0211-x",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give a CLR type bound on the number of bound states of Schroedinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-09T21:05:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schroedinger operators",
      "bound states",
      "matrix-valued potentials",
      "clr type bound",
      "functional integral method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Letters in Mathematical Physics",
      "year": 2007,
      "month": "Dec",
      "volume": 82,
      "number": "2-3",
      "pages": 107
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007LMaPh..82..107F"
    }
  }
}