{
  "annotation_id": "5df20b74-4a94-43aa-991b-d1d852836de3",
  "date_created": "2026-03-02T18:00:56.866000Z",
  "date_modified": "2026-03-02T18:00:56.866000Z",
  "file_hash": "fd627ff8f07db3e30dff189adab441703074748940e5408fac9a6d2355637cd6",
  "private": false,
  "record": {
    "abstract": "Effective operators needed in single-beam two-photon transition calculations\nhave been represented with modified Goldstone diagrams similar to the type\nsuggested by Duan and co-workers [J. Chem. Phys. 121, 5071 (2004) ]. The rules\nto evaluate these diagrams are different from those for effective Hamiltonian\nand one-photon transition operators. It is verified that the perturbation terms\nconsidered contain only connected diagrams and the evaluation rules are\nsimplified and given explicitly.",
    "arxiv_id": "physics/0505162",
    "authors": [
      "Chang-Kui Duan",
      "Michael F. Reid",
      "Gang Ruan",
      "hui-Ning Dong"
    ],
    "categories": [
      "physics.chem-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1016/j.jallcom.2005.01.095",
    "journal_ref": "Journal of Alloys and Compounds 408-412, 926-929 (2006)",
    "title": "Calculation of single-beam two-photon absorption transition rate of   rare-earth ions using effective operator and diagrammatic representation",
    "url": "https://arxiv.org/abs/physics/0505162"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "401fd1c7-3936-4087-8f99-aae48dde5595",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}