{
  "annotation_id": "cc8fa7b2-89cc-4287-a405-33857c0dc9f4",
  "date_created": "2026-03-02T18:01:42.527000Z",
  "date_modified": "2026-03-02T18:01:42.527000Z",
  "file_hash": "2b5a7d5dc420cbee4c72f5dbdbe0d8ea98c9f160c87fe69f900c4f2ed2e24c8a",
  "private": false,
  "record": {
    "abstract": "The first two period behaviors of a quantum wave packet in an infinite square\nwell potential is studied. First, the short term behavior of expectation value\nof a quantity on an equally weighted wave packet (EWWP) is in classical limit\nproved to reproduce the Fej\u0027{e}r average of the Fourier series decomposition of\nthe corresponding classical quantity. Second, in order to best mimic the\nclassical behavior, a nice relation between number $N$ of stationary states in\nthe EWWP with the average quantum number $n$ as $N\\thickapprox \\sqrt{n}$ is\nrevealed. Third, since the Fej\\\u0027{e}r average can only approximate the classical\nquantity, it carries an uncertainty which in large quantum number case is\nalmost the same as the quantum uncertainty.",
    "arxiv_id": "quant-ph/0011048",
    "authors": [
      "Quan-Hui Liu",
      "Wei-Hong Qi",
      "Li-Ping Fu",
      "Bambi Hu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Fejer average and the short term behaviors of a wave packet in infinite   square well",
    "url": "https://arxiv.org/abs/quant-ph/0011048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "02bfccf4-bdb1-47a2-9c45-289e50eeac44",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}