{
  "annotation_id": "f49a1a11-9006-401c-a6ce-342b843d956e",
  "date_created": "2026-03-02T18:02:24.243000Z",
  "date_modified": "2026-03-02T18:02:24.243000Z",
  "file_hash": "8e2eae7723bfb818f72b5f7d3dd4765bfc720c10e81712bd652c861e188d7df4",
  "private": false,
  "record": {
    "abstract": "We give full account of our recent report in [E.A. Galapon, R. Caballar, R.\nBahague {\\it Phys. Rev. Let.} {\\bf 93} 180406 (2004)] where it is shown that\nformulating the free quantum time of arrival problem in a segment of the real\nline suggests rephrasing the quantum time of arrival problem to finding a\ncomplete set of states that evolve to unitarily arrive at a given point at a\ndefinite time. For a spatially confined particle, here it is shown explicitly\nthat the problem admits a solution in the form of an eigenvalue problem of a\nclass of compact and self-adjoint time of arrival operators derived by a\nquantization of the classical time of arrival. The eigenfunctions of these\noperators are numerically demonstrated to unitarilly arrive at the origin at\ntheir respective eigenvalues.",
    "arxiv_id": "quant-ph/0512096",
    "authors": [
      "Eric A. Galapon",
      "Roland F. Caballar",
      "Ricardo Bahague"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.062107",
    "title": "Confined Quantum Time of Arrival for Vanishing Potential",
    "url": "https://arxiv.org/abs/quant-ph/0512096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f4367f26-fe1d-44b5-9dd2-d65670c1e3a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}