{
  "id": "0902.3950",
  "version": "v1",
  "published": "2009-02-23T16:48:10.000Z",
  "updated": "2009-02-23T16:48:10.000Z",
  "title": "Estimates for eigenvalues of the Schrödinger operator with a complex potential",
  "authors": [
    "Oleg Safronov"
  ],
  "doi": "10.1112/blms/bdq007",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We study the distribution of eigenvalues of the Schr\\\"odinger operator with a complex valued potential $V$. We prove that if $|V|$ decays faster than the Coulomb potential, then all eigenvalues are in a disc of a finite radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-23T16:48:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47F05"
    ],
    "keywords": [
      "schrödinger operator",
      "complex potential",
      "eigenvalues",
      "finite radius",
      "coulomb potential"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3950S"
    }
  }
}