{
  "annotation_id": "e51079fd-262d-411c-a425-f38178f0e7d9",
  "date_created": "2026-03-02T18:02:34.540000Z",
  "date_modified": "2026-03-02T18:02:34.540000Z",
  "file_hash": "305efa01dc314374fa1ac4c7144721622418305823b5a92a35c39bde4b0d9aea",
  "private": false,
  "record": {
    "abstract": "We analytically compute the time evolution of an initial infinite plane wave\nin the presence of a 1-dimensional square quantum barrier. This calculation\ngeneralizes the analysis of the shutter problem and sets the basis for the\ncalculation of the transmission of general wave packets, aiming to work out the\nexplicit contribution of the resonant (Gamow) states. The method relies mainly\non the analytical properties of the Green function. The role of separate\nboundary conditions on the Green function and on the evolution equation is\nhighlighted. As in previous works on related problems, only the determination\nof the resonant momenta requires numerical methods.",
    "arxiv_id": "quant-ph/0701213",
    "authors": [
      "J. Julve",
      "F. J. de Urries"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Infinite plane wave evolution in a 1-D square quantum barrier",
    "url": "https://arxiv.org/abs/quant-ph/0701213"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "91475f04-1bd6-4318-81c1-91191c8aa7b9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}