{
  "annotation_id": "0d022fc2-ae3f-45e2-a162-0786f3b5f761",
  "date_created": "2026-03-02T18:01:18.147000Z",
  "date_modified": "2026-03-02T18:01:18.147000Z",
  "file_hash": "7a123f7d72e4472dec9e38b9815ff6266ad04da62838c782dd210f16d26985d1",
  "private": false,
  "record": {
    "abstract": "A system of metastable plus unstable states is discussed. The mass matrix\ngoverning the time development of the system is supposed to vary slowly with\ntime. The adiabatic limit for this case is studied and it is shown that only\nthe metastable states obtain the analogs of the dynamical and geometrical phase\nfactors familiar from stable states. Abelian and non-abelian geometric phase\nfactors for metastable states are defined.",
    "arxiv_id": "physics/0703275",
    "authors": [
      "Timo Bergmann",
      "Thomas Gasenzer",
      "Otto Nachtmann"
    ],
    "categories": [
      "physics.atom-ph",
      "hep-ph"
    ],
    "doi": "10.1140/epjd/e2007-00258-6",
    "journal_ref": "Eur.Phys.J.D45:197-210,2007",
    "title": "Metastable states, the adiabatic theorem and parity violating geometric   phases I",
    "url": "https://arxiv.org/abs/physics/0703275"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a453d2c3-879c-470d-a033-260a1ae6a216",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}