{
  "annotation_id": "7106875c-6669-4eb3-85e0-520eb31fefb9",
  "date_created": "2026-03-02T18:01:56.682000Z",
  "date_modified": "2026-03-02T18:01:56.682000Z",
  "file_hash": "7700dd90e4f8a38f6c90e7788e2b7e790b104380e47f8af48c6b2e9669ffbb44",
  "private": false,
  "record": {
    "abstract": "Currently, it has been claimed that certain Hermitian Hamiltonians have\nparity (P) and they are PT-invariant. We propose generalized definitions of\ntime-reversal operator (T) and orthonormality such that all Hermitian\nHamiltonians are P, T, PT, and CPT invariant. The PT-norm and CPT-norm are\nindefinite and definite respectively. The energy-eigenstates are either E-type\n(e.g., even) or O-type (e.g., odd). C mimics the charge-conjugation symmetry\nwhich is recently found to exist for a non-Hermitian Hamiltonian. For a\nHermitian Hamiltonian it coincides with P.",
    "arxiv_id": "quant-ph/0302084",
    "authors": [
      "Zafar Ahmed"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(03)00339-6",
    "title": "P,T,PT, and CPT invariance of Hermitian Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0302084"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "43a66fa6-1e5d-426d-ae49-5199b788f814",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}