{
  "annotation_id": "6dbb37cf-4428-4f81-ab8e-256cfa15ab5b",
  "date_created": "2026-03-02T18:02:41.369000Z",
  "date_modified": "2026-03-02T18:02:41.369000Z",
  "file_hash": "84e95395647228463bc6fd97cecbe2fbb1f1d2e82d300afb97742b225f62b7fd",
  "private": false,
  "record": {
    "abstract": "Using algebraic tools of supersymmetric quantum mechanics we construct\nclasses of conditionally exactly solvable potentials being the supersymmetric\npartners of the linear or radial harmonic oscillator. With the help of the\nraising and lowering operators of these harmonic oscillators and the SUSY\noperators we construct ladder operators for these new conditionally solvable\nsystems. It is found that these ladder operators together with the Hamilton\noperator form a non-linear algebra which is of quadratic and cubic type for the\nSUSY partners of the linear and radial harmonic oscillator, respectively.",
    "arxiv_id": "quant-ph/9709021",
    "authors": [
      "Georg Junker",
      "Pinaki Roy"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math.QA",
      "nlin.SI",
      "q-alg",
      "solv-int"
    ],
    "journal_ref": "Yad.Fiz.61:1850-1856,1998; Phys.Atom.Nucl.61:1736-1743,1998",
    "title": "Supersymmetric Construction of Exactly Solvable Potentials and   Non-Linear Algebras",
    "url": "https://arxiv.org/abs/quant-ph/9709021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "087f82d1-90b2-4ba8-9ebe-16ee6e4dff39",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}