{
  "annotation_id": "2631bc56-5479-4ded-ba7f-28fb9a4aa84c",
  "date_created": "2026-03-02T18:02:30.556000Z",
  "date_modified": "2026-03-02T18:02:30.556000Z",
  "file_hash": "238278d8957100e153222ae23037f4c579e963d39196ee596991de98b2f7cb92",
  "private": false,
  "record": {
    "abstract": "A new quantum model with rational functions for the potential and effective\nmass is proposed in a stretchable region outside which both are constant.\nStarting from a generalized effective mass kinetic energy operator the matching\nand boundary conditions for the envelope wave functions are derived. It is\nshown that in a mapping to an auxiliary constant-mass Schrodinger picture one\nobtains one-period ``associated Lame\u0027\u0027 well bounded by two delta-wells or\ndelta-barriers depending on the values of one ordering parameter. The results\nfor bound states of this new solvable model are provided for a wide variation\nof the parameters.",
    "arxiv_id": "quant-ph/0610248",
    "authors": [
      "A. Ganguly",
      "M. V. Ioffe",
      "L. M. Nieto"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/47/010",
    "journal_ref": "J.Phys. A39 (2006) 14659-14680",
    "title": "A new effective mass Hamiltonian and associated Lame equation: bound   states",
    "url": "https://arxiv.org/abs/quant-ph/0610248"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0e563f7a-fa08-435d-92c1-1b11acf3e1cc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}