{
  "annotation_id": "d21cfc35-c123-43d3-bb87-e8484d6088f5",
  "date_created": "2026-03-02T18:02:24.275000Z",
  "date_modified": "2026-03-02T18:02:24.275000Z",
  "file_hash": "68e5179e422b32a75247f9249efaf860080b29a4dcfc2eb657c744287d07d103",
  "private": false,
  "record": {
    "abstract": "The evaluation of a tunneling tail by the Herman-Kluk method, which is a\nquasiclassical way to compute quantum dynamics, is examined by asymptotic\nanalysis. In the shallower part of the tail, as well as in the classically\nallowed region, it is shown that the leading terms of semiclassical evaluations\nof quantum theory and the Herman-Kluk formula agree, which is known as an\nasymptotic equivalence. In the deeper part, it is shown that the asymptotic\nequivalence breaks down, due to the emergence of unusual \"tunneling\ntrajectory\", which is an artifact of the Herman-Kluk method.",
    "arxiv_id": "quant-ph/0601135",
    "authors": [
      "Atushi Tanaka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.024101",
    "journal_ref": "Phys. Rev. A 73, 024101 (2006) (4 pages)",
    "title": "Determination of the border between \"shallow\" and \"deep\" tunneling   regions for Herman-Kluk method by asymptotic approach",
    "url": "https://arxiv.org/abs/quant-ph/0601135"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "57de9877-7b3b-4960-916f-fc7240f0f980",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}