{
  "annotation_id": "c5269256-1efd-4c9d-87d1-8377238c647f",
  "date_created": "2026-03-02T18:02:20.080000Z",
  "date_modified": "2026-03-02T18:02:20.080000Z",
  "file_hash": "d8d52b2fa93eaaadb7af9b8127f0df204e92729f74dc3f752624d4072777efef",
  "private": false,
  "record": {
    "abstract": "A general solution to the \"shutter\" problem is presented. The propagation of\nan arbitrary initially bounded wavefunction is investigated, and the general\nsolution for any such function is formulated. It is shown that the exact\nsolution can be written as an expression that depends only on the values of the\nfunction (and its derivatives) at the boundaries. In particular, it is shown\nthat at short times ($t\\ll2mx^2/\\hbar$, where $x$ is the distance to the\nboundaries) the wavefunction propagation depends only on the wavefunction\u0027s\nvalues (or its derivatives) at the boundaries of the region. Finally, we\ngeneralize these findings to a non-singular wavefunction (i.e., for wavepackets\nwith finite-width boundaries) and suggest an experimental verification.",
    "arxiv_id": "quant-ph/0508089",
    "authors": [
      "Er\u0027el Granot",
      "Avi Marchewka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1209/epl/i2005-10264-2",
    "journal_ref": "Europhys. Lett., 72 (3), pp. 341-347 (2005)",
    "title": "Generic Short-Time Propagation of Sharp-Boundaries Wave Packets",
    "url": "https://arxiv.org/abs/quant-ph/0508089"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ab9795f-fd3e-47ad-b84c-c3d4a3ac5a3a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}