{
  "annotation_id": "9968753c-ecc4-420a-96a8-f04998592658",
  "date_created": "2026-03-02T18:01:52.042000Z",
  "date_modified": "2026-03-02T18:01:52.042000Z",
  "file_hash": "5a3fc30d696d4b015e071886747b4717980d548864134395eedca389a255ed97",
  "private": false,
  "record": {
    "abstract": "Spectral determinants have proven to be valuable tools for resumming the\nperiodic orbits in the Gutzwiller trace formula of chaotic systems. We\ninvestigate these tools in the context of integrable systems to which these\ntechniques have not been previously applied. Our specific model is a\nstroboscopic map of an integrable Hamiltonian system with quadratic action\ndependence, for which each stage of the semiclassical approximation can be\ncontrolled. It is found that large errors occur in the semiclassical traces due\nto edge corrections which may be neglected if the eigenvalues are obtained by\nFourier transformation over the long time dynamics. However, these errors cause\nserious harm to the spectral approximations of an integrable system obtained\nvia the spectral determinants. The symmetry property of the spectral\ndeterminant does not generally alleviate the error, since it sometimes sheds a\npair of eigenvalues from the unit circle. By taking into account the leading\norder asymptotics of the edge corrections, the spectral determinant method\nmakes a significant recovery.",
    "arxiv_id": "quant-ph/0207148",
    "authors": [
      "Alfredo M. Ozorio de Almeida",
      "Caio H. Lewenkopf",
      "Steven Tomsovic"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/49/311",
    "title": "On resumming periodic orbits in the spectra of integrable systems",
    "url": "https://arxiv.org/abs/quant-ph/0207148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "89b57856-3064-4883-bfa6-c2c99457cf7b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}