{
  "annotation_id": "c878daea-219f-4ddb-b31a-e9b1eea6732e",
  "date_created": "2026-03-02T18:02:23.947000Z",
  "date_modified": "2026-03-02T18:02:23.947000Z",
  "file_hash": "a4a193bb4878e555df858f78939f1332acc3590fd681d4d066d1baddf5ad456f",
  "private": false,
  "record": {
    "abstract": "It has been shown that a Hamiltonian with an unbroken $\\cP\\cT$ symmetry also\npossesses a hidden symmetry that is represented by the linear operator $\\cC$.\nThis symmetry operator $\\cC$ guarantees that the Hamiltonian acts on a Hilbert\nspace with an inner product that is both positive definite and conserved in\ntime, thereby ensuring that the Hamiltonian can be used to define a unitary\ntheory of quantum mechanics. In this paper it is shown how to construct the\noperator $\\cC$ for the $\\cP\\cT$-symmetric square well using perturbative\ntechniques.",
    "arxiv_id": "quant-ph/0601123",
    "authors": [
      "Carl M. Bender",
      "Barnabas Tan"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/39/8/011",
    "journal_ref": "J.Phys.A39:1945-1953,2006",
    "title": "Calculation of the Hidden Symmetry Operator for a $\\cP\\cT$-Symmetric   Square Well",
    "url": "https://arxiv.org/abs/quant-ph/0601123"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "58b1e601-a32a-47c0-abd8-8e8f6c43fa65",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}