{
  "annotation_id": "63353f43-253a-41ec-9fd9-2edea28e71bc",
  "date_created": "2026-03-02T18:01:56.379000Z",
  "date_modified": "2026-03-02T18:01:56.379000Z",
  "file_hash": "7aa394d6749d7dee038841f20ca0e0385685e4d925ef3c62868d145058adf9c7",
  "private": false,
  "record": {
    "abstract": "We consider the multi-channel inverse scattering problem in one-dimension in\nthe presence of thresholds and bound states for a potential of finite support.\nUtilizing the Levin representation, we derive the general Marchenko integral\nequation for N-coupled channels and show that, unlike to the case of the radial\ninverse scattering problem, the information on the bound state energies and\nasymptotic normalization constants can be inferred from the reflection\ncoefficient matrix alone. Thus, given this matrix, the Marchenko inverse\nscattering procedure can provide us with a unique multi-channel potential. The\nrelationship to supersymmetric partner potentials as well as possible\napplications are discussed. The integral equation has been implemented\nnumerically and applied to several schematic examples showing the\ncharacteristic features of multi-channel systems. A possible application of the\nformalism to technological problems is briefly discussed.",
    "arxiv_id": "quant-ph/0301154",
    "authors": [
      "M. Braun",
      "S. A. Sofianos",
      "H. Leeb"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.012719",
    "title": "Multi-Channel Inverse Scattering Problem on the Line: Thresholds and   Bound States",
    "url": "https://arxiv.org/abs/quant-ph/0301154"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "85c0579f-21c3-4c77-9b9a-9c62611e02cb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}