{
  "annotation_id": "7972b638-320f-45b8-9f23-e2cc0618a262",
  "date_created": "2026-03-02T18:02:16.353000Z",
  "date_modified": "2026-03-02T18:02:16.353000Z",
  "file_hash": "9022b1792b208ac239871bb921209c8c3c8f635b7d98228b100021b70d0e3a3e",
  "private": false,
  "record": {
    "abstract": "We show that and how point interactions offer one of the most suitable guides\ntowards a quantitative analysis of properties of certain specific non-Hermitian\n(usually called PT-symmetric) quantum-mechanical systems. A double-well model\nis chosen, an easy solvability of which clarifies the mechanisms of the\nunavoided level crossing and of the spontaneous PT-symmetry breaking. The\nlatter phenomenon takes place at a certain natural boundary of the domain of\nthe \"acceptable\" parameters of the model. Within this domain the model mediates\na nice and compact explicit illustration of the not entirely standard\nprobabilistic interpretation of the physical bound states in the very recently\ndeveloped (so called PT symmetric or, in an alternative terminology,\npseudo-Hermitian) new, fairly exciting and very quickly developing branch of\nQuantum Mechanics.",
    "arxiv_id": "quant-ph/0503235",
    "authors": [
      "Miloslav Znojil",
      "Vit Jakubsky"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/22/024",
    "journal_ref": "J.Phys.A38:5041,2005",
    "title": "Solvability and PT-symmetry in a double-well model with point   interactions",
    "url": "https://arxiv.org/abs/quant-ph/0503235"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "367e165d-8dc1-45d1-ba90-95c7eaa18507",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}