{
  "annotation_id": "34d05858-3be5-4187-9049-d8f429769869",
  "date_created": "2026-03-02T18:02:27.605000Z",
  "date_modified": "2026-03-02T18:02:27.605000Z",
  "file_hash": "5e8429d4598d5df021634f80ead4eb2d8086010262693480fc162b17779f12a5",
  "private": false,
  "record": {
    "abstract": "Even if the motion of a quantum (quasi-)particle proceeds along a\nleft-right-symmetric (PT-symmetric) curved path in complex plane, the spectrum\nof bound states may remain physical, i.e., real and bounded below). We propose\na generalization. Firstly, we show how the topologically less trivial\n(tobogganic) contours may be allowed to live on several sheets of a Riemann\nsurface. Secondly, the specification of a scattering regime is formulated for\nsuch a class of models.",
    "arxiv_id": "quant-ph/0606166",
    "authors": [
      "Miloslav Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/42/008",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 13325-13336",
    "title": "Spiked potentials and quantum toboggans",
    "url": "https://arxiv.org/abs/quant-ph/0606166"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb4d46d5-b551-40de-a4d5-2bb43f77804a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}