{
  "annotation_id": "0a165c4e-cb5a-4e3d-824b-5cdd809367f8",
  "date_created": "2026-03-02T18:01:42.323000Z",
  "date_modified": "2026-03-02T18:01:42.323000Z",
  "file_hash": "a6738d3ddd6beabb5c8130d4e09f0a84ed60a8ce4c6b221385d303675eedb160",
  "private": false,
  "record": {
    "abstract": "We consider the quantum tunneling phenomenon in a well-behaved triple-well\npotential. As required by the semiclassical approximation we take into account\nthe quadratic fluctuations over the instanton which represents as usual the\nlocalised finite-action solution of the euclidean equation of motion. The\ndeterminants of the quadratic differential operators at issue are evaluated by\nmeans of the Gelfang-Yaglom method. In doing so the explicit computation of the\nconventional ratio of determinants takes as reference the harmonic oscillator\nwhose frequency is the average of the individual frequencies derived from the\nnon-equivalent minima of the potential. Eventually the physical effects of the\nmulti-instanton configurations are included in this approach. As a matter of\nfact we obtain information about the energies of the ground-state and the two\nfirst excited levels of the discrete spectrum at issue.",
    "arxiv_id": "quant-ph/0103010",
    "authors": [
      "J. Casahorran"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/S0375-9601(01)00265-1",
    "journal_ref": "Phys.Lett. A283 (2001) 285-290",
    "title": "Analysis of nonperturbative fluctuations in a triple-well potential",
    "url": "https://arxiv.org/abs/quant-ph/0103010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bf2abbed-0b83-4162-9729-3f2696fd140c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}