{
  "annotation_id": "04db533b-e126-4218-add6-51725d3d90c8",
  "date_created": "2026-03-02T18:02:12.968000Z",
  "date_modified": "2026-03-02T18:02:12.968000Z",
  "file_hash": "7e330ebaa41e04fab9af05c0bd78d2dc5d5e07ab7c13af3ab3ac745dac6c5afb",
  "private": false,
  "record": {
    "abstract": "Known shape-invariant potentials for the constant-mass Schrodinger equation\nare taken as effective potentials in a position-dependent effective mass (PDEM)\none. The corresponding shape-invariance condition turns out to be deformed. Its\nsolvability imposes the form of both the deformed superpotential and the PDEM.\nA lot of new exactly solvable potentials associated with a PDEM background are\ngenerated in this way. A novel and important condition restricting the\nexistence of bound states whenever the PDEM vanishes at an end point of the\ninterval is identified. In some cases, the bound-state spectrum results from a\nsmooth deformation of that of the conventional shape-invariant potential used\nin the construction. In others, one observes a generation or suppression of\nbound states, depending on the mass-parameter values. The corresponding\nwavefunctions are given in terms of some deformed classical orthogonal\npolynomials.",
    "arxiv_id": "quant-ph/0412016",
    "authors": [
      "B. Bagchi",
      "A. Banerjee",
      "C. Quesne",
      "V. M. Tkachuk"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/38/13/008",
    "journal_ref": "J. Phys. A 38 (2005) 2929-2945",
    "title": "Deformed shape invariance and exactly solvable Hamiltonians with   position-dependent effective mass",
    "url": "https://arxiv.org/abs/quant-ph/0412016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d8412bf3-447f-4139-882a-a9972e967dca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}