{
  "annotation_id": "0defe838-4a04-46ce-9eca-6d1214004183",
  "date_created": "2026-03-02T18:02:10.342000Z",
  "date_modified": "2026-03-02T18:02:10.342000Z",
  "file_hash": "0f90f052cbb1bf90ff46e965f7ce694242cd6ccb4a0252474d17fd1d7fe0aedb",
  "private": false,
  "record": {
    "abstract": "An algebraic method of constructing potentials for which the Schroedinger\nequation with position dependent mass can be solved exactly is presented. A\ngeneral form of the generators of su(1,1) algebra has been employed with a\nunified approach to the problem. Our systematic approach reproduces a number of\nearlier results and also leads to some novelties. We show that the solutions of\nthe Schroedinger equation with position dependent mass are free from the choice\nof parameters for position dependent mass. Two classes of potentials are\nconstructed that include almost all exactly solvable potentials.",
    "arxiv_id": "quant-ph/0410127",
    "authors": [
      "Ramazan Koc",
      "Mehmet Koca"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/29/315",
    "journal_ref": "J. Phys. A: Math. Gen. 36, (2003) 8105-8112",
    "title": "A systematic study on the exact solution of the position dependent mass   Schroedinger equation",
    "url": "https://arxiv.org/abs/quant-ph/0410127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a4ced06e-32e5-4fdd-8783-80c591b2582a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}