{
  "annotation_id": "072649f9-8104-4374-abfc-593c6fabf3f9",
  "date_created": "2026-03-02T18:01:45.953000Z",
  "date_modified": "2026-03-02T18:01:45.953000Z",
  "file_hash": "8b1ba452c3b3e3fa86caa61b59dfb2e6cf5a02c8d175a4bfdc814e4235a08fb0",
  "private": false,
  "record": {
    "abstract": "The wave functions, the autocorrelation functions of which decay faster than\n$t^{-2}$, for both the one-dimensional free particle system and the\nrepulsive-potential system are examined. It is then shown that such wave\nfunctions constitute a dense subset of $L^2 ({\\bf R}^1)$, under several\nconditions that are particularly satisfied by the square barrier potential\nsystem. It implies that the faster than $t^{-2}$-decay character of the\nautocorrelation function persists against the perturbation of potential. It is\nalso seen that the denseness of the above subset is guaranteed by that of the\ndomain of the Aharonov-Bohm time operator.",
    "arxiv_id": "quant-ph/0105033",
    "authors": [
      "Manabu Miyamoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Characteristic decay of the autocorrelation functions prescribed by the   Aharonov-Bohm time operator",
    "url": "https://arxiv.org/abs/quant-ph/0105033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ba10a48-0e77-44c4-bba9-5c49c7897889",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}