{
  "annotation_id": "8ad539c0-9028-4fb0-b8bc-95780a7a27b9",
  "date_created": "2026-03-02T18:01:53.042000Z",
  "date_modified": "2026-03-02T18:01:53.042000Z",
  "file_hash": "7b97ff0c0a189b3ac9af62eed04e15a3f9a8ed5309e41ca66e1a6e1e80141015",
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  "record": {
    "abstract": "The impact of an anti-unitary symmetry on the spectrum of non-hermitean\noperators is studied. Wigner\u0027s normal form of an anti-unitary operator is shown\nto account for the spectral properties of non-hermitean, PT-symmetric\nHamiltonians. Both the occurrence of single real or complex conjugate pairs of\neigenvalues follows from this theory. The corresponding energy eigenstates span\neither one- or two-dimensional irreducible representations of the symmetry PT.\nIn this framework, the concept of a spontaneously broken PT-symmetry is not\nneeded.",
    "arxiv_id": "quant-ph/0209054",
    "authors": [
      "Stefan Weigert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/5/3/380",
    "journal_ref": "J. Opt. B 5 (2003) S416",
    "title": "PT-symmetry and its spontaneous breakdown explained by anti-linearity",
    "url": "https://arxiv.org/abs/quant-ph/0209054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e191be7-c8c8-4e99-998d-8b3e5b92fcf8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}