{
  "annotation_id": "1eecebe8-0f8f-41a6-a0bc-95eecdee111f",
  "date_created": "2026-03-02T18:02:23.734000Z",
  "date_modified": "2026-03-02T18:02:23.734000Z",
  "file_hash": "206aaee82d41720c96da8d864b830cc1a4c15969a81116bacc34166f1dbcea24",
  "private": false,
  "record": {
    "abstract": "A new method for generating exactly solvable Schr\\\"odinger equations with a\nposition-dependent mass is proposed. It is based on a relation with some\ndeformed Schr\\\"odinger equations, which can be dealt with by using a\nsupersymmetric quantum mechanical approach combined with a deformed\nshape-invariance condition. The solvability of the latter is shown to impose\nthe form of both the deformed superpotential and the position-dependent mass.\nThe conditions for the existence of bound states are determined. A lot of\nexamples are provided and the corresponding bound-state spectrum and\nwavefunctions are reviewed.",
    "arxiv_id": "quant-ph/0512046",
    "authors": [
      "C. Quesne",
      "B. Bagchi",
      "A. Banerjee",
      "V. M. Tkachuk"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Hamiltonians with position-dependent mass, deformations and   supersymmetry",
    "url": "https://arxiv.org/abs/quant-ph/0512046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd7ed4b9-ac97-45df-bd15-a35fab39b9cf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}