{
  "id": "math-ph/0703007",
  "version": "v1",
  "published": "2007-03-01T13:17:43.000Z",
  "updated": "2007-03-01T13:17:43.000Z",
  "title": "Inverse scattering for the matrix Schroedinger operator and Schroedinger operator on graphs with general self-adjoint boundary conditions",
  "authors": [
    "M. Harmer"
  ],
  "journal": "ANZIAM Journal, 43 (2002), 1--8",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Using a parameterisation of general self-adjoint boundary conditions in terms of Lagrange planes we propose a scheme for factorising the matrix Schroedinger operator and hence construct a Darboux transformation an interesting feature of which is that the matrix potential and boundary conditions are altered under the transformation. We present a solution of the inverse problem in the case of general boundary conditions using a Marchenko equation and discusss the specialisation to the case of graph with trivial compact part, ie. diagonal matrix potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-01T13:17:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general self-adjoint boundary conditions",
      "matrix schroedinger operator",
      "inverse scattering",
      "general boundary conditions",
      "trivial compact part"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math.ph...3007H"
    }
  }
}