{
  "id": "2007.07870",
  "version": "v1",
  "published": "2020-07-15T17:44:44.000Z",
  "updated": "2020-07-15T17:44:44.000Z",
  "title": "Discretization of inverse scattering on a half line",
  "authors": [
    "Evgeny L. Korotyaev"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We solve inverse scattering problem for Schr\\\"odinger operators with compactly supported potentials on the half line. We discretize S-matrix: we take the value of the S-matrix on some infinite sequence of positive real numbers. Using this sequence obtained from S-matrix we recover uniquely the potential by a new explicit formula, without the Gelfand-Levitan-Marchenko equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-15T17:44:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "half line",
      "discretization",
      "inverse scattering problem",
      "infinite sequence",
      "positive real numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}