{
  "annotation_id": "b41417a6-e7a3-4462-8cc9-c0d806002d9b",
  "date_created": "2026-03-02T18:01:52.496000Z",
  "date_modified": "2026-03-02T18:01:52.496000Z",
  "file_hash": "aa143c890c698420bbea7940ff36f024f50192aa6b5efad645f15d745bc0fd49",
  "private": false,
  "record": {
    "abstract": "General point interactions for the second derivative operator in one\ndimension are studied. In particular, ${\\mathcal P \\mathcal T}$-self-adjoint\npoint interactions with the support at the origin and at points $\\pm l$ are\nconsidered. The spectrum of such non-Hermitian operators is investigated and\nconditions when the spectrum is pure real are presented. The results are\ncompared with those for standard self-adjoint point interactions.",
    "arxiv_id": "quant-ph/0206112",
    "authors": [
      "S. Albeverio",
      "S. M. Fei",
      "P. Kurasov"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Lett. Math. Phys. 59, 2002(227-242)",
    "title": "Point Interactions: PT-Hermiticity and Reality of the Spectrum",
    "url": "https://arxiv.org/abs/quant-ph/0206112"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "803d0e4b-3a15-4fd1-b971-b12bab79be01",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}