{
  "id": "math-ph/0502032",
  "version": "v1",
  "published": "2005-02-09T12:07:11.000Z",
  "updated": "2005-02-09T12:07:11.000Z",
  "title": "Inverse Scattering Problem for the Schrödinger Operator with a Separable Potential",
  "authors": [
    "Yu. P. Chuburin"
  ],
  "comment": "9 pages, LaTeX2e",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that the inverse scattering problem for the Schr\\\"odinger operator with the separable potential can be reduced to the solving of a certain singular integral equation. We establish the uniqueness of the potential corresponding to given scattering amplitude in the class of separable potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-09T12:07:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P25"
    ],
    "keywords": [
      "inverse scattering problem",
      "separable potential",
      "schrödinger operator",
      "singular integral equation",
      "uniqueness"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph...2032C"
    }
  }
}