{
  "annotation_id": "62461443-7c33-44c1-8f25-fca0fa56a590",
  "date_created": "2026-03-02T18:02:06.635000Z",
  "date_modified": "2026-03-02T18:02:06.635000Z",
  "file_hash": "bce4af26088387e7a49569ad67dd8b56f092845b5dbb3c7b8658bcc334f488fd",
  "private": false,
  "record": {
    "abstract": "A systematic procedure to study one-dimensional Schr\\\"odinger equation with a\nposition-dependent effective mass (PDEM) in the kinetic energy operator is\nexplored. The conventional free-particle problem reveals a new and interesting\nsituation in that, in the presence of a mass background, formation of bound\nstates is signalled. We also discuss coordinate-transformed, constant-mass\nSchr\\\"odinger equation, its matching with the PDEM form and the consequent\ndecoupling of the ambiguity parameters. This provides a unified approach to\nmany exact results known in the literature, as well as to a lot of new ones.",
    "arxiv_id": "quant-ph/0405193",
    "authors": [
      "B. Bagchi",
      "P. Gorain",
      "C. Quesne",
      "R. Roychoudhury"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217732304016123",
    "journal_ref": "Mod. Phys. Lett. A 19 (2004) 2765-2775",
    "title": "A general scheme for the effective-mass Schrodinger equation and the   generation of the associated potentials",
    "url": "https://arxiv.org/abs/quant-ph/0405193"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6306a0d-7493-40bb-a709-98eab6d395b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}