{
  "annotation_id": "6843e784-646f-43fe-8e28-37aa850c6402",
  "date_created": "2026-03-02T18:02:41.093000Z",
  "date_modified": "2026-03-02T18:02:41.093000Z",
  "file_hash": "2ea0d4c7e60f526f5b371f1e4521bbe05a78179d3df40bbc73ab8aa18e27389a",
  "private": false,
  "record": {
    "abstract": "We study the classical and quantum perturbation theory for two non--resonant\noscillators coupled by a nonlinear quartic interaction. In particular we\nanalyze the question of quantum corrections to the torus quantization of the\nclassical perturbation theory (semiclassical mechanics). We obtain up to the\nsecond order of perturbation theory an explicit analytical formula for the\nquantum energy levels, which is the semiclassical one plus quantum corrections.\nWe compare the \"exact\" quantum levels obtained numerically to the semiclassical\nlevels studying also the effects of quantum corrections.",
    "arxiv_id": "quant-ph/9803069",
    "authors": [
      "Luca Salasnich"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Classical and Quantum Perturbation Theory for two Non--Resonant   Oscillators with Quartic Interaction",
    "url": "https://arxiv.org/abs/quant-ph/9803069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ef0d20f-e27e-4f5b-97a4-6895e9c517da",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}