{
  "annotation_id": "8adf103e-17ac-4d65-9821-82393b9bc648",
  "date_created": "2026-03-02T18:02:44.654000Z",
  "date_modified": "2026-03-02T18:02:44.654000Z",
  "file_hash": "866ebf2eabab3ebfbc8b7b4cc34de15e39e182062f72de95b0659d16fd9d8d13",
  "private": false,
  "record": {
    "abstract": "The eigenvalue bounds obtained earlier [J. Phys. A: Math. Gen. 31 (1998) 963]\nfor smooth transformations of the form V(x) = g(x^2) + f(1/x^2) are extended to\nN-dimensions. In particular a simple formula is derived which bounds the\neigenvalues for the spiked harmonic oscillator potential V(x) = x^2 +\nlambda/x^alpha, alpha \u003e 0, lambda \u003e 0, and is valid for all discrete\neigenvalues, arbitrary angular momentum ell, and spatial dimension N.",
    "arxiv_id": "quant-ph/9811008",
    "authors": [
      "Richard L. Hall",
      "Nasser Saad"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/32/1/014",
    "journal_ref": "J.Phys.A32:133-138,1999",
    "title": "Eigenvalue bounds for a class of singular potentials in N dimensions",
    "url": "https://arxiv.org/abs/quant-ph/9811008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "469de516-e2b2-4dfe-84fb-34116df58608",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}