{
  "annotation_id": "b257c9ad-ad89-4b2c-a412-94baba0462ec",
  "date_created": "2026-03-02T18:02:02.662000Z",
  "date_modified": "2026-03-02T18:02:02.662000Z",
  "file_hash": "8050699b290cbbf117ed1987528dd411b75a09065c2ed2f8f04b3b0e8385d492",
  "private": false,
  "record": {
    "abstract": "A real band condition is shown to exist for one dimensional periodic complex\nnon-hermitian potentials exhibiting PT-symmetry. We use an exactly solvable\nultralocal periodic potential to obtain the band structure and discuss some\nspectral features of the model, specially those concerning the role of the\nimaginary parameters of the couplings. Analytical results as well as some\nnumerical examples are provided.",
    "arxiv_id": "quant-ph/0312163",
    "authors": [
      "Jose M. Cervero",
      "Alberto Rodriguez"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/43/010",
    "journal_ref": "J. Phys. A: Math. Gen. 37, 10167 (2004)",
    "title": "The band spectrum of periodic potentials with PT-symmetry",
    "url": "https://arxiv.org/abs/quant-ph/0312163"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d24fd138-9bb0-4bfd-b7f3-96c6ee15ee73",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}