{
  "annotation_id": "646c978e-03e7-43be-9cf7-28a67611dce2",
  "date_created": "2026-03-02T18:02:34.604000Z",
  "date_modified": "2026-03-02T18:02:34.604000Z",
  "file_hash": "74ba68564de27861502bfd26fb535ac382b2f8bd7274e1e1ad5aa3eb87a2df7b",
  "private": false,
  "record": {
    "abstract": "We analyze the asymptotics of the Wigner $3j$-symbol as a matrix element\nconnecting eigenfunctions of a pair of integrable systems, obtained by lifting\nthe problem of the addition of angular momenta into the space of Schwinger\u0027s\noscillators. A novel element is the appearance of compact Lagrangian manifolds\nthat are not tori, due to the fact that the observables defining the quantum\nstates are noncommuting. These manifolds can be quantized by generalized\nBohr-Sommerfeld rules and yield all the correct quantum numbers. The geometry\nof the classical angular momentum vectors emerges in a clear manner. Efficient\nmethods for computing amplitude determinants in terms of Poisson brackets are\ndeveloped and illustrated.",
    "arxiv_id": "quant-ph/0703104",
    "authors": [
      "Vincenzo Aquilanti",
      "Hal M. Haggard",
      "Robert G. Littlejohn",
      "Liang Yu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/21/013",
    "journal_ref": "J. Phys. A: Math. Theor. 40 5637 (2007)",
    "title": "Semiclassical analysis of Wigner $3j$-symbol",
    "url": "https://arxiv.org/abs/quant-ph/0703104"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d0b620af-5fb0-47cf-bb45-15495f9a3cea",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}