{
  "annotation_id": "7809665e-b6f6-4ccf-9b81-a271040bc317",
  "date_created": "2026-03-02T18:01:21.627000Z",
  "date_modified": "2026-03-02T18:01:21.627000Z",
  "file_hash": "f3138c2d0bf48a3f3ff130a293e53a6a68117ebcbaaf73d82f8970811d06a423",
  "private": false,
  "record": {
    "abstract": "The condition of self-adjointness ensures that the eigenvalues of a\nHamiltonian are real and bounded below. Replacing this condition by the weaker\ncondition of ${\\cal PT}$ symmetry, one obtains new infinite classes of complex\nHamiltonians whose spectra are also real and positive. These ${\\cal PT}$\nsymmetric theories may be viewed as analytic continuations of conventional\ntheories from real to complex phase space. This paper describes the unusual\nclassical and quantum properties of these theories.",
    "arxiv_id": "physics/9712001",
    "authors": [
      "Carl M. Bender",
      "Stefan Boettcher"
    ],
    "categories": [
      "math-ph",
      "cond-mat",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.80.5243",
    "journal_ref": "Phys.Rev.Lett. 80 (1998) 5243-5246",
    "title": "Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry",
    "url": "https://arxiv.org/abs/physics/9712001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8263071d-b96e-41b7-81ab-73f4bb6471ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}