{
  "annotation_id": "864ce5c9-0128-45ae-8b00-d9c9ba9e23c1",
  "date_created": "2026-03-02T18:02:29.950000Z",
  "date_modified": "2026-03-02T18:02:29.950000Z",
  "file_hash": "19784841f4da745206ac65198154cc96d63336434d5a8927b9ac986cbe3ffa12",
  "private": false,
  "record": {
    "abstract": "For one dimensional non-relativistic quantum mechanical problems, we\ninvestigate the conditions for all the position dependence of the propagator to\nbe in its phase, that is, the semi-classical approximation to be exact. For\nvelocity independent potentials we find that:\n  (i) the potential must be quadratic in space, but can have arbitrary time\ndependence.\n  (ii) the phase may be made proportional to the classical action, and the\nmagnitude (``fluctuation factor\u0027\u0027) can also be found from the classical\nsolution.\n  (iii) for the driven harmonic oscillator the fluctuation factor is\nindependent of the driving term.",
    "arxiv_id": "quant-ph/0608211",
    "authors": [
      "Ibrahim Semiz",
      "Koray Duztas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/47/011",
    "journal_ref": "journal of physics A: Math. Gen. Vol:39 p.14681, 2006",
    "title": "On the exactness of the Semi-Classical Approximation for   Non-Relativistic One Dimensional Propagators",
    "url": "https://arxiv.org/abs/quant-ph/0608211"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8d551508-a5c4-49b7-8c7c-3517271f0b21",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}