{
  "annotation_id": "940d6cf3-c6bf-4354-8fdc-cd555170e325",
  "date_created": "2026-03-02T18:02:06.943000Z",
  "date_modified": "2026-03-02T18:02:06.943000Z",
  "file_hash": "546e374a8797e0c8ff02e66f140058aec33c65abbb740ba03916584e52a5a24b",
  "private": false,
  "record": {
    "abstract": "We show that shape invariance appears when a quantum mechanical model is\ninvariant under a centrally extended superalgebra endowed with an additional\nsymmetry generator, which we dub the shift operator. The familiar mathematical\nand physical results of shape invariance then arise from the BPS structure\nassociated with this shift operator. The shift operator also ensures that there\nis a one-to-one correspondence between the energy levels of such a model and\nthe energies of the BPS-saturating states. These findings thus provide a more\ncomprehensive algebraic setting for understanding shape invariance.",
    "arxiv_id": "quant-ph/0401163",
    "authors": [
      "Michael Faux",
      "Donald Spector"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/37/43/026",
    "journal_ref": "J.Phys. A37 (2004) 10397-10407",
    "title": "A BPS Interpretation of Shape Invariance",
    "url": "https://arxiv.org/abs/quant-ph/0401163"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4504c891-6b0e-4a6c-93ae-c13ebd741a95",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}