{
  "annotation_id": "aa1f8151-36ae-4a89-bd67-91a5cebb947b",
  "date_created": "2026-03-02T18:01:10.917000Z",
  "date_modified": "2026-03-02T18:01:10.917000Z",
  "file_hash": "3454cfcd80094b25674e16f0ceafd4bb6f1f81ea621dd22e3acbac48f84156ff",
  "private": false,
  "record": {
    "abstract": "A simple tight-binding model is used to illustrate how the time dependence of\na state vector can be obtained from all the eigenvalues and eigenvectors of the\nHamiltonian. The behavior of the eigenvalues and eigenvectors is studied for\nvarious parameters and allows us to study scattering-like events, impurity\nstates, and localization in disordered systems.",
    "arxiv_id": "physics/0607164",
    "authors": [
      "Antonio Siber"
    ],
    "categories": [
      "physics.ed-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1119/1.2186687",
    "journal_ref": "Am. J. Phys. 74, 692 (2006)",
    "title": "Dynamics and (de)localization in a one-dimensional tight-binding chain",
    "url": "https://arxiv.org/abs/physics/0607164"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0e755edb-337d-4ccc-998a-f110561620ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}