{
  "annotation_id": "4b585f27-9717-4fe6-b453-fee6d0b9b1a9",
  "date_created": "2026-03-02T18:01:59.917000Z",
  "date_modified": "2026-03-02T18:01:59.917000Z",
  "file_hash": "b6c652430a728bfa06c71ada96998ec29a8d728621ff4423d641add8300a1443",
  "private": false,
  "record": {
    "abstract": "This paper investigates finite-dimensional representations of PT-symmetric\nHamiltonians. In doing so, it clarifies some of the claims made in earlier\npapers on PT-symmetric quantum mechanics. In particular, it is shown here that\nthere are two ways to extend real symmetric Hamiltonians into the complex\ndomain: (i) The usual approach is to generalize such Hamiltonians to include\ncomplex Hermitian Hamiltonians. (ii) Alternatively, one can generalize real\nsymmetric Hamiltonians to include complex PT-symmetric Hamiltonians. In the\nfirst approach the spectrum remains real, while in the second approach the\nspectrum remains real if the PT symmetry is not broken. Both generalizations\ngive a consistent theory of quantum mechanics, but if D\u003e2, a D-dimensional\nHermitian matrix Hamiltonian has more arbitrary parameters than a D-dimensional\nPT-symmetric matrix Hamiltonian.",
    "arxiv_id": "quant-ph/0303174",
    "authors": [
      "Carl M. Bender",
      "Peter N. Meisinger",
      "Qinghai Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/24/314",
    "title": "Finite-Dimensional PT-Symmetric Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0303174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "35897f5e-0356-466c-9e09-65e67c1a72f0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}