{
  "annotation_id": "5846c42c-6ffa-4b43-adf9-d7c076f38f95",
  "date_created": "2026-03-02T18:02:20.012000Z",
  "date_modified": "2026-03-02T18:02:20.012000Z",
  "file_hash": "a7ba257dd7418bca9ff587680c20bc70ee03f58d9631e76abea1ab4cae010afc",
  "private": false,
  "record": {
    "abstract": "An approximate method is suggested to obtain analytical expressions for the\neigenvalues and eigenfunctions of the some quantum optical models. The method\nis based on the Lie-type transformation of the Hamiltonians. In a particular\ncase it is demonstrated that $E\\times \\epsilon $ Jahn-Teller Hamiltonian can\neasily be solved within the framework of the suggested approximation. The\nmethod presented here is conceptually simple and can easily be extended to the\nother quantum optical models. We also show that for a purely imaginary coupling\nthe $E\\times \\epsilon $ Hamiltonian becomes non-Hermitian but $P\\sigma\n_{0}$-symmetric. Possible generalization of this approach is outlined.",
    "arxiv_id": "quant-ph/0510219",
    "authors": [
      "Ramazan Koc"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10582-005-0118-7",
    "journal_ref": "Czechoslovak Journal of Physics, 55 (2005) 9 1135-1140.",
    "title": "Development of an approximate method for quantum optical models and   their pseudo-Hermicity",
    "url": "https://arxiv.org/abs/quant-ph/0510219"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d6e1669-f861-49ed-aa99-892fb49459a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}