{
  "annotation_id": "a53147bd-0fd2-43e1-8ea3-90abc8c866c1",
  "date_created": "2026-03-02T18:02:24.143000Z",
  "date_modified": "2026-03-02T18:02:24.143000Z",
  "file_hash": "00040690b0fb2269775c62cad84a7852ceeeaa2260a4b0b6b22d690c8750dd25",
  "private": false,
  "record": {
    "abstract": "Within a well-known decay model describing a particle confined initially\nwithin a spherical $\\delta$ potential shell, we consider the situation when the\nundecayed state has an unusual energy distribution decaying slowly as\n$k\\to\\infty$; the simplest example corresponds to a wave function constant\nwithin the shell. We show that the non-decay probability as a function of time\nbehaves then in a highly irregular, most likely fractal way.",
    "arxiv_id": "quant-ph/0603067",
    "authors": [
      "Pavel Exner",
      "Martin Fraas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/6/010",
    "journal_ref": "J. Phys. A: Math. Theor. 40 (2007), 1333-1340",
    "title": "The decay law can have an irregular character",
    "url": "https://arxiv.org/abs/quant-ph/0603067"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dccd322b-5b29-4288-ba2f-540998f45a7d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}