{
  "annotation_id": "317d77fc-02a0-4fa9-87f4-81efa360ec12",
  "date_created": "2026-03-02T18:01:37.944000Z",
  "date_modified": "2026-03-02T18:01:37.944000Z",
  "file_hash": "5c5cca14fdf95a2fa3c44d15e4136f3c29b5438c63b1064e7f4bbf019d6d0913",
  "private": false,
  "record": {
    "abstract": "We show that the potential wells with a central spike\n  V(x) = x^{10} + a x^8 + b x^6+ c x^4 + d x^2 + f/x^2 possess arbitrary finite\nmultiplets of elementary exact bound states. The strong asymptotic growth of\nV(x) implies an ambiguity in the PT-symmetric quantization via complex boundary\nconditions but the three eligible recipes coincide at our exceptional\nsolutions.",
    "arxiv_id": "quant-ph/0002083",
    "authors": [
      "Miloslav Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/33/38/313",
    "journal_ref": "J. Phys. A: Math. Gen. 33 (2000) 6825 - 6833",
    "title": "Spiked and PT-symmetrized decadic potentials supporting elementary   N-plets of bound states",
    "url": "https://arxiv.org/abs/quant-ph/0002083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d382a5bc-cbd1-4eb4-adc1-3337b50ba9f4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}