{
  "annotation_id": "01b00700-321a-4a82-9e71-9a62ff29b094",
  "date_created": "2026-03-02T18:01:55.796000Z",
  "date_modified": "2026-03-02T18:01:55.796000Z",
  "file_hash": "843136fab0d515d88ddae68265637845221bc5b383b868f69f30eabde23c397e",
  "private": false,
  "record": {
    "abstract": "Exceptional points and double poles of the S matrix are both characterized by\nthe coalescence of a pair of eigenvalues. In the first case, the coalescence\ncauses a defect of the Hilbert space. In the second case, this is not so as\nshown in prevoius papers. Mathematically, the reason for this difference is the\nbi-orthogonality of the eigenfunctions of a non-Hermitian operator that is\nignored in the first case. The consequences for the topological structure of\nthe Hilbert space are studied and compared with existing experimental data.",
    "arxiv_id": "quant-ph/0211197",
    "authors": [
      "I. Rotter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.67.026204",
    "title": "Exceptional points and double poles of the S matrix",
    "url": "https://arxiv.org/abs/quant-ph/0211197"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82239667-9a7d-44c1-931a-f2a1b98b1106",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}