{
  "annotation_id": "e8030709-1ec5-4007-a01d-f4fcb1428e04",
  "date_created": "2026-03-02T18:02:03.351000Z",
  "date_modified": "2026-03-02T18:02:03.351000Z",
  "file_hash": "d2b8b22729f4657e988b35b5b998d028f2cb9849237ea4455a7dda3ce83e7827",
  "private": false,
  "record": {
    "abstract": "We extend the definition of generalized parity $P$, charge-conjugation $C$\nand time-reversal $T$ operators to nondiagonalizable pseudo-Hermitian\nHamiltonians, and we use these generalized operators to describe the full set\nof symmetries of a pseudo-Hermitian Hamiltonian according to a fourfold\nclassification. In particular we show that $TP$ and $CTP$ are the generators of\nthe antiunitary symmetries; moreover, a necessary and sufficient condition is\nprovided for a pseudo-Hermitian Hamiltonian $H$ to admit a $P$-reflecting\nsymmetry which generates the $P$-pseudounitary and the $P$-pseudoantiunitary\nsymmetries. Finally, a physical example is considered and some hints on the\n$P$-unitary evolution of a physical system are also given.",
    "arxiv_id": "quant-ph/0310106",
    "authors": [
      "A. Blasi",
      "G. Scolarici",
      "L. Solombrino"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/15/003",
    "title": "Pseudo-Hermitian Hamiltonians, indefinite inner product spaces and their   symmetries",
    "url": "https://arxiv.org/abs/quant-ph/0310106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b3c8b45-4d16-4a39-b734-ad4f8ce7051a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}