{
  "annotation_id": "79a241a5-861c-4a5e-bcc1-9c47b7bf0e9d",
  "date_created": "2026-03-02T18:01:35.133000Z",
  "date_modified": "2026-03-02T18:01:35.133000Z",
  "file_hash": "ec20099a7b8b9fe20e69d3459dc857c32fe45a23d89f0ed7c867660ae55256d0",
  "private": false,
  "record": {
    "abstract": "It has always been believed that no self-adjoint and canonical time of\narrival operator can be constructed within the confines of standard quantum\nmechanics. In this Letter we demonstrate the otherwise. We do so by pointing\nout that there is no a priori reason in demanding that canonical pairs form a\nsystem of imprimitivities. We then proceed to show that a class of self-adjoint\nand canonical time of arrival (TOA) operators can be constructed for a\nspatially confined free particle. And then discuss the relatiobship between the\nnon-self-adjointess of the TOA operator for the unconfined particle and the\nself-adjointness of the confined one.",
    "arxiv_id": "quant-ph/0001062",
    "authors": [
      "Eric A. Galapon"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Canonical pairs, Spatially Confined Motion and the Quantum Time of   Arrival Problem",
    "url": "https://arxiv.org/abs/quant-ph/0001062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d8b401e9-e172-47d7-a382-8e216982aacf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}