{
  "annotation_id": "bbc9edc6-ade2-4622-9ea6-9e2d4ca78cad",
  "date_created": "2026-03-02T18:01:45.463000Z",
  "date_modified": "2026-03-02T18:01:45.463000Z",
  "file_hash": "77368d86f3210bca3aee06b3a35ec95d1c7d12db30ece81ec9372d0c3eec19b2",
  "private": false,
  "record": {
    "abstract": "We study the quantum-mechanical interpretation of models with non-Hermitian\nHamiltonians and real spectra. We set up a general framework for the analysis\nof such systems in terms of Hermitian Hamiltonians defined in the usual Hilbert\nspace $L_2(-\\infty,\\infty)$. Special emphasis is put on the correct definition\nof the algebra of physical observables. Within this scheme we consider various\nexamples, including the model recently introduced by Cannata et al. and the\nmodel of Hatano and Nelson.",
    "arxiv_id": "quant-ph/0105054",
    "authors": [
      "R. Kretschmer",
      "L. Szymanowski"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.dis-nn"
    ],
    "title": "The Interpretation of Quantum-Mechanical Models with Non-Hermitian   Hamiltonians and Real Spectra",
    "url": "https://arxiv.org/abs/quant-ph/0105054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fd9907fe-40ed-481f-a5a1-a17d19c5977e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}