{
  "annotation_id": "5ba59f2a-0b5e-4e8c-95fb-6fdcfad35c56",
  "date_created": "2026-03-02T18:01:38.772000Z",
  "date_modified": "2026-03-02T18:01:38.772000Z",
  "file_hash": "3a777db2a6d3a1c19729b3e96ad9b83fe299a0ba932e346b4b1db2fb7ebae9b5",
  "private": false,
  "record": {
    "abstract": "Factorization method is developed for a family of discretely spiked harmonic\noscillators. Two sets of intertwining and ladder operators are presented to\nalgebraically generate eigenstates with energies isomorphic to those of the\nordinary harmonic oscillator. Normalization conditions are examined to reject\nunphysical cases. Generic theory is specialized to one dimensional linear\noscillator and N dimensional radial oscillators in odd dimensions N=1,3,5..,\nwhere orthogonal basis or sets of staggered orthogonal bases can be identified.\nEven dimensions N=2,4,6.. are rejected as ill defined since they do not lead to\nproperly defined bases. The theory is augmented by a short Haskell program\nSpike, which directly implements the intertwining and ladder operators,\ngenerates the eigenfunctions, tests integrability of the solutions, verifies\northogonality conditions and tests consistency of theoretical claims.",
    "arxiv_id": "quant-ph/0007059",
    "authors": [
      "Jan Skibinski"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Exact solutions for a family of discretely spiked harmonic oscillators",
    "url": "https://arxiv.org/abs/quant-ph/0007059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eccadafa-76ae-4723-8bcf-05ad5163d213",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}