{
  "annotation_id": "6aca943b-188c-48c0-8e00-4b44ba6795ab",
  "date_created": "2026-03-02T18:00:57.384000Z",
  "date_modified": "2026-03-02T18:00:57.384000Z",
  "file_hash": "3741cf5cf5c16fc167e10e38344bc5843836b96aa6df9c45dec129c920f564ce",
  "private": false,
  "record": {
    "abstract": "In this article we discuss a procedure to solve the one dimensional (1D)\nSchroedinger Equation for a periodic potential, which may be well suited to\nteach band structure theory. The procedure is conceptually very simple, so that\nit may be used to teach band theory at the undergraduate level; at the same\ntime the point of view is practical, so that the students may experiment\ncomputing band gaps, and other features of band structure. Another advantage of\nthe procedure lies in that it does not use specific symmetry properties of the\npotential, so that the results are generally valid.",
    "arxiv_id": "physics/0503171",
    "authors": [
      "Constantino A. Utreras-D\u00edaz"
    ],
    "categories": [
      "physics.ed-ph",
      "physics.comp-ph"
    ],
    "title": "Numerical Solution of the 1D Schr\\\"odinger Equation: Bloch Wavefunctions",
    "url": "https://arxiv.org/abs/physics/0503171"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c0bec5a4-c018-4c03-bc83-4319cde56300",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}