{
  "annotation_id": "4777ff35-eb69-48a1-a059-6fce9e09f221",
  "date_created": "2026-03-02T18:01:52.302000Z",
  "date_modified": "2026-03-02T18:01:52.302000Z",
  "file_hash": "8f560476e5f446d6b0f06f138845608d09743f7bd614885472b17742e6e98cfb",
  "private": false,
  "record": {
    "abstract": "A method of fundamental solutions has been used to study adiabatic transition\namplitudes in two energy level systems for a class of Hamiltonians allowing\nsome simplifications of Stokes graphs corresponding to such transitions. It has\nbeen shown that for simplest such cases the amplitudes take the Nikitin -\nUmanskii form but for more complicated ones they are formed by a sum of terms\nstrictly related to a structure of Stokes graph corresponding to such cases.\nThis paper corrects our previous one [Phys. Rev. A, 63 052101 (2001)] and its\nresults are in a full agreement with the ones of Joye, Mileti and Pfister\n[Phys. Rev. A, 44 4280 (1991)].",
    "arxiv_id": "quant-ph/0207107",
    "authors": [
      "Stefan Giller"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Adiabatic limit interference effects for two energy level transition   amplitudes and Nikitin - Umanskii formula studied by fundamental solution   method",
    "url": "https://arxiv.org/abs/quant-ph/0207107"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec9d557e-f6c2-4e48-83be-7c774cbfdfb2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}