{
  "annotation_id": "af0731df-59ee-48d1-ac9b-ae95eefdf03a",
  "date_created": "2026-03-02T18:02:06.512000Z",
  "date_modified": "2026-03-02T18:02:06.512000Z",
  "file_hash": "fab126844817996235fdce2beff5b16bea28cb3614ab3f875828f3a92efe33bb",
  "private": false,
  "record": {
    "abstract": "We apply the quantum Hamilton-Jacobi formalism, naturally defined in the\ncomplex domain, to a number of complex Hamiltonians, characterized by discrete\nparity and time reversal (PT) symmetries and obtain their eigenvalues and\neigenfunctions. Examples of both quasi-exactly and exactly solvable potentials\nare analyzed and the subtle differences, in the singularity structures of their\nquantum momentum functions, are pointed out. The role of the PT symmetry in the\ncomplex domain is also illustrated.",
    "arxiv_id": "quant-ph/0403054",
    "authors": [
      "S. Sree Ranjani",
      "A. K. Kapoor",
      "Prasanta K. Panigrahi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217751X05022810",
    "title": "Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0403054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8af34406-39ba-4556-b060-410bbf8029dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}