{
  "annotation_id": "3b9e3b21-0e8b-45ed-84fc-6192b9371b5e",
  "date_created": "2026-03-02T18:02:27.353000Z",
  "date_modified": "2026-03-02T18:02:27.353000Z",
  "file_hash": "ed83f3c5dcdac7b9099229765b69bded7f83514f7f3767b74b6885daebbd363d",
  "private": false,
  "record": {
    "abstract": "We consider a couple of examples to study the pseudo-Hermitian interaction in\nrelativistic quantum mechanics. Rasbha interaction, commonly used to study the\nspin Hall effect, is considered with imaginary coupling. The corresponding\nDirac Hamiltonian is shown to be parity pseudo-Hermitian. In the other example\nwe consider parity pseudo-Hermitian scalar interaction with arbitrary parameter\nin Dirac theory. In both the cases we show that the energy spectrum is real and\nall the other features of non-relativistic pseudo-Hermitian formulation are\npresent. Using the spectral method the positive definite metric operator\n($\\eta$) has been calculated explicitly for both the models to ensure positive\ndefinite norms for the state vectors.",
    "arxiv_id": "quant-ph/0605233",
    "authors": [
      "Bhabani Prasad Mandal",
      "Saurabh Gupta"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1142/S0217732310032901",
    "journal_ref": "Mod. Phys. Lett. A 25, 1723 (2010)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Pseudo-Hermitian Interactions in Dirac Theory: Examples",
    "url": "https://arxiv.org/abs/quant-ph/0605233"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "48d8cb07-8935-4289-9d18-56f887e7ae20",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}