{
  "annotation_id": "1ef8a841-d677-4b3a-b5c1-c91b11784510",
  "date_created": "2026-03-02T18:01:59.341000Z",
  "date_modified": "2026-03-02T18:01:59.341000Z",
  "file_hash": "388a967a61cfa4a2392593604de710c83c74a2647eacab119dae719d425ae40f",
  "private": false,
  "record": {
    "abstract": "We show that a quantum system possessing an exact antilinear symmetry, in\nparticular PT-symmetry, is equivalent to a quantum system having a Hermitian\nHamiltonian. We construct the unitary operator relating an arbitrary\nnon-Hermitian Hamiltonian with exact PT-symmetry to a Hermitian Hamiltonian. We\napply our general results to PT-symmetry in finite-dimensions and give the\nexplicit form of the above-mentioned unitary operator and Hermitian Hamiltonian\nin two dimensions. Our findings lead to the conjecture that non-Hermitian\nCPT-symmetric field theories are equivalent to certain nonlocal Hermitian field\ntheories.",
    "arxiv_id": "quant-ph/0304080",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/36/25/312",
    "journal_ref": "J.Phys.A36:7081-7092,2003",
    "title": "Exact PT-Symmetry Is Equivalent to Hermiticity",
    "url": "https://arxiv.org/abs/quant-ph/0304080"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb26a6a6-ab50-417b-9972-eaeb243a3ef7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}