{
  "annotation_id": "4cdf25b6-f49d-4ce9-9b53-155ef0f708b3",
  "date_created": "2026-03-02T18:02:20.697000Z",
  "date_modified": "2026-03-02T18:02:20.697000Z",
  "file_hash": "bb20a81e0d7a649075e684a7dac5893d642a61151da93dc9f7a8f1cd66834050",
  "private": false,
  "record": {
    "abstract": "The problem of d-dimensional Schrodinger equations with a position-dependent\nmass is analyzed in the framework of first-order intertwining operators. With\nthe pair (H, H_1) of intertwined Hamiltonians one can associate another pair of\nsecond-order partial differential operators (R, R_1), related to the same\nintertwining operator and such that H (resp. H_1) commutes with R (resp. R_1).\nThis property is interpreted in superalgebraic terms in the context of\nsupersymmetric quantum mechanics (SUSYQM). In the two-dimensional case, a\nsolution to the resulting system of partial differential equations is obtained\nand used to build a physically-relevant model depicting a particle moving in a\nsemi-infinite layer. Such a model is solved by employing either the\ncommutativity of H with some second-order partial differential operator L and\nthe resulting separability of the Schrodinger equation or that of H and R\ntogether with SUSYQM and shape-invariance techniques. The relation between both\napproaches is also studied.",
    "arxiv_id": "quant-ph/0508216",
    "authors": [
      "C. Quesne"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.aop.2005.11.013",
    "journal_ref": "Ann. Phys. (N.Y.) 321 (2006) 1221-1239",
    "title": "First-order intertwining operators and position-dependent mass   Schrodinger equations in d dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0508216"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "671e0d41-e001-403f-ac18-a9d160767d05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}