{
  "annotation_id": "a964dd0a-bd12-44a4-8aab-9685d96e60dd",
  "date_created": "2026-03-02T18:01:59.607000Z",
  "date_modified": "2026-03-02T18:01:59.607000Z",
  "file_hash": "de300085ad1e8d1003025c7b6dee4936867c73e8b1cb0753b083ab1691125c8b",
  "private": false,
  "record": {
    "abstract": "In the tight-binding approximation we consider multi-channel transmission\nthrough a billiard coupled to leads. Following Dittes we derive the coupling\nmatrix, the scattering matrix and the effective Hamiltonian, but take into\naccount the energy restriction of the conductance band. The complex eigenvalues\nof the effective Hamiltonian define the poles of the scattering matrix. For\nsome simple cases, we present exact values for the poles. We derive also the\ncondition for the appearance of double poles.",
    "arxiv_id": "quant-ph/0304147",
    "authors": [
      "Almas F. Sadreev",
      "Ingrid Rotter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/45/005",
    "title": "S-matrix theory for transmission through billiards in tight-binding   approach",
    "url": "https://arxiv.org/abs/quant-ph/0304147"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "20157ce7-3f4c-4574-9846-97537d24f17d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}