{
  "annotation_id": "993c0a8f-eb1e-40f3-a670-04720b86ea0e",
  "date_created": "2026-03-02T18:02:37.735000Z",
  "date_modified": "2026-03-02T18:02:37.735000Z",
  "file_hash": "107d1101ab40b1b3c50eef4c6f987c9b0694dbda7b1101974e610d5f27f2c677",
  "private": false,
  "record": {
    "abstract": "One-dimensional quantum scattering from a local potential barrier is\nconsidered. Analytical properties of the scattering amplitudes have been\ninvestigated by means of the integral equations equivalent to the Schrodinger\nequations. The transition and reflection amplitudes are expressed in terms of\ntwo complex functions of the incident energy, which are similar to the Jost\nfunction in the partial-wave scattering. These functions are entire for\nfinite-range potentials and meromorphic for exponentially decreasing\npotentials. The analytical properties result from locality of the potential in\nthe wave equation and represent the effect of causality in time dependence of\nthe scattering process.",
    "arxiv_id": "quant-ph/9602015",
    "authors": [
      "M. S. Marinov",
      "Bilha Segev"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/29/11/018",
    "title": "Analytical properties of scattering amplitudes in one-dimensional   quantum theory",
    "url": "https://arxiv.org/abs/quant-ph/9602015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a3c820b-1c37-4373-9dbd-3061f6cd9ecf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}