{
  "annotation_id": "a57bb74f-cee3-407c-a6c6-467f1220bcef",
  "date_created": "2026-03-02T18:02:23.435000Z",
  "date_modified": "2026-03-02T18:02:23.435000Z",
  "file_hash": "5ddcb5621fd4e79fd72979e8569cc64d45838e5f1c101d56e57e9c0ac8c76849",
  "private": false,
  "record": {
    "abstract": "Using the coordinate transformation method, we solve the one-dimensional\nSchr\\\"{o}dinger equation with position-dependent mass(PDM). The explicit\nexpressions for the potentials, energy eigenvalues and eigenfunctions of the\nsystems are given. The eigenfunctions can be expressed in terms of the Jacobi,\nHemite and generalized Laguerre polynomials. All potentials for these solvable\nsystems have an extra term $V_m$ which produced from the dependence of mass on\nthe coordinate, compared with that for the systems of constant mass. The\nproperties of $V_m$ for several mass functions are discussed.",
    "arxiv_id": "quant-ph/0601004",
    "authors": [
      "Guo-Xing Ju",
      "Chang-Ying Cai",
      "Yang Xiang",
      "Zhong-Zhou Ren"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The coordinate transformation and the exact solutions of the   Schr\\\"{o}dinger equation with position-dependent effective mass",
    "url": "https://arxiv.org/abs/quant-ph/0601004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f2efbe95-08a5-4bec-8e53-8856e52c19cf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}