{
  "annotation_id": "504376bf-1bbd-4e82-bb38-e670ba89f1e3",
  "date_created": "2026-03-02T18:02:37.251000Z",
  "date_modified": "2026-03-02T18:02:37.251000Z",
  "file_hash": "e03f4207ed382eed040086bcdfa3e6a0ee294d30dae09f7774e565de432e5ab6",
  "private": false,
  "record": {
    "abstract": "We show that the Calogero and Calogero-Sutherland models possess an N-body\ngeneralization of shape invariance. We obtain the operator representation that\ngives rise to this result, and discuss the implications of this result,\nincluding the possibility of solving these models using algebraic methods based\non this shape invariance. Our representation gives us a natural way to\nconstruct supersymmetric generalizations of these models, which are interesting\nboth in their own right and for the insights they offer in connection with the\nexact solubility of these models.",
    "arxiv_id": "quant-ph/9702017",
    "authors": [
      "Costas Efthimiou",
      "Donald Spector"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevA.56.208",
    "title": "Shape Invariance in the Calogero and Calogero-Sutherland Models",
    "url": "https://arxiv.org/abs/quant-ph/9702017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "362146a9-4bcf-4074-a710-86fae530912e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}