{
  "annotation_id": "40723bd5-977a-4d1d-86a8-82b2acbd5a5b",
  "date_created": "2026-03-02T18:01:49.158000Z",
  "date_modified": "2026-03-02T18:01:49.158000Z",
  "file_hash": "18d6ab3e1413b711893556d74998df49da385a28be40484a55411e299a4cfe48",
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  "record": {
    "abstract": "We propose a concrete application of the Atiyah-Singer index formula in\nmolecular physics, giving the exact number of levels in energy bands, in terms\nof vector bundles topology. The formation of topologically coupled bands is\ndemonstrated. This phenomenon is expected to be present in many quantum\nsystems.",
    "arxiv_id": "quant-ph/0204100",
    "authors": [
      "Frederic Faure",
      "Boris Zhilinskii"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(02)01171-4",
    "journal_ref": "Phys.Letters A, 302, p.242-252. 2002.",
    "title": "Topologically coupled energy bands in molecules",
    "url": "https://arxiv.org/abs/quant-ph/0204100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4cf7df99-5018-435f-bbf0-9ecba1d6f821",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}