{
  "annotation_id": "d6d83bad-b034-4b26-a7ec-e0b5ec909be7",
  "date_created": "2026-03-02T18:02:20.697000Z",
  "date_modified": "2026-03-02T18:02:20.697000Z",
  "file_hash": "3d7a8321c9321a99c12e3b1e8f84e179f415b6b0ba363bb99b085b2fd5ace1b4",
  "private": false,
  "record": {
    "abstract": "We formulate the framework of N-fold supersymmetry in one-body quantum\nmechanical systems with position-dependent mass (PDM). We show that some of the\nsignificant properties in the constant-mass case such as the equivalence to\nweak quasi-solvability also hold in the PDM case. We develop a systematic\nalgorithm for constructing an N-fold supersymmetric PDM system. We apply it to\nobtain type A N-fold supersymmetry in the case of PDM, which is characterized\nby the so-called type A monomial space. The complete classification and general\nform of effective potentials for type A N-fold supersymmetry in the PDM case\nare given.",
    "arxiv_id": "quant-ph/0509132",
    "authors": [
      "Toshiaki Tanaka"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/39/1/016",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 219-234",
    "title": "N-fold Supersymmetry in Quantum Systems with Position-dependent Mass",
    "url": "https://arxiv.org/abs/quant-ph/0509132"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "28238b30-75e1-4d2c-a73f-34672ff43b01",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}