{
  "annotation_id": "7ed56c2b-60a4-4348-9c93-e420ff33a5bb",
  "date_created": "2026-03-02T18:00:53.780000Z",
  "date_modified": "2026-03-02T18:00:53.780000Z",
  "file_hash": "401fee92af16df2bb02355fb6959f99077a0a2a4e8bb6190cb98c5f2d356b4db",
  "private": false,
  "record": {
    "abstract": "The scattering properties of quantum particles on fractal potentials at\ndifferent stages of fractal growth are obtained by means of the transfer matrix\nmethod. This approach can be easily adopted for project assignments in\nintroductory quantum mechanics for undergraduates. The reflection coefficients\nfor both the fractal potential and the finite periodic potential are calculated\nand compared. It is shown that the reflection coefficient for the fractal has a\nself-similar structure associated with the fractal distribution of the\npotential.",
    "arxiv_id": "physics/0412087",
    "authors": [
      "Juan A. Monsoriu",
      "Francisco R. Villatoro",
      "Maria J. Marin",
      "Javier F. Urchueguia",
      "Pedro Fernandez de Cordoba"
    ],
    "categories": [
      "physics.ed-ph"
    ],
    "doi": "10.1088/0143-0807/26/4/005",
    "title": "A transfer matrix method for the analysis of fractal quantum potentials",
    "url": "https://arxiv.org/abs/physics/0412087"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c1e928bf-3e7c-4c8e-bfdd-857b3f746a25",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}