{
  "annotation_id": "e29abb12-8431-47b8-b43d-d93f8259679d",
  "date_created": "2026-03-02T18:01:52.685000Z",
  "date_modified": "2026-03-02T18:01:52.685000Z",
  "file_hash": "6ca178719456ca87abce7411419ddea98d70daa3fedf7ce50ffbb0b3d4fcda8e",
  "private": false,
  "record": {
    "abstract": "The behavior of both the survival S(t) and nonescape P(t) probabilities at\nlong times for the one-dimensional free particle system is shown to be closely\nconnected to that of the initial wave packet at small momentum. We prove that\nboth S(t) and P(t) asymptotically exhibit the same power-law decrease at long\ntimes, when the initial wave packet in momentum representation behaves as O(1)\nor O(k) at small momentum. On the other hand, if the integer m becomes greater\nthan 1, S(t) and P(t) decrease in different power-laws at long times.",
    "arxiv_id": "quant-ph/0207067",
    "authors": [
      "Manabu Miyamoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.022702",
    "title": "Free initial wave packets and the long-time behavior of the survival and   nonescape probabilities",
    "url": "https://arxiv.org/abs/quant-ph/0207067"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a595248-80c4-40da-af4d-87f497b916a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}