{
  "annotation_id": "65b45a66-7ce5-4235-9e44-45fc06736bf7",
  "date_created": "2026-03-02T18:01:56.127000Z",
  "date_modified": "2026-03-02T18:01:56.127000Z",
  "file_hash": "da161e8fc7b9a2efac1c147015c9fbe8152a8ed12ecf2bbf6e73913c97fd2402",
  "private": false,
  "record": {
    "abstract": "We discuss the relationship between exact solvability of the Schr\\\"{o}dinger\nequation with a position-dependent mass and the ordering ambiguity in the\nHamiltonian operator within the frame of supersymmetric quantum mechanics. The\none-dimensional Schr\\\"{o}dinger equation, derived from the general form of the\neffective mass Hamiltonian, is solved exactly for a system with exponentially\nchanging mass in the presence of a potential with similar behaviour, and the\ncorresponding supersymmetric partner Hamiltonians are related to the\neffective-mass Hamiltonians proposed in the literature.",
    "arxiv_id": "quant-ph/0211112",
    "authors": [
      "Besire Gonul",
      "Bulent Gonul",
      "Dilek Tutcu",
      "Okan Ozer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217732302008563",
    "journal_ref": "Modern Physics Letters A, Vol. 17, No. 31 (2002) 2057-2066",
    "title": "Supersymmetric approach to exactly solvable systems with   position-dependent effective masses",
    "url": "https://arxiv.org/abs/quant-ph/0211112"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "77c4c70c-7877-426a-b7bb-4b722dafa005",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}