{
  "annotation_id": "b724b2b3-e9ae-45c0-9c4d-05167e072851",
  "date_created": "2026-03-02T18:02:38.182000Z",
  "date_modified": "2026-03-02T18:02:38.182000Z",
  "file_hash": "6ab5bb96edd460739bccc1102867b1b096b8a62ca69abfedebaa30a350a9f0c4",
  "private": false,
  "record": {
    "abstract": "Variational perturbation theory is used to determine the decay rates of\nmetastable states across a cubic barrier of arbitrary height. For high\nbarriers, a variational resummation procedure is applied to the complex energy\neigenvalues obtained from a WKB expansion; for low barriers, the variational\nresummation procedure converts the non-Borel-summable\nRayleigh-Schr\\\"o\\-din\\-ger expansion into an exponentially fast convergent one.\nThe results in the two regimes match and yield very accurate imaginary parts of\nthe energy eigenvalues. This is demonstrated by comparison with the complex\neigenvalues from solutions of the Schr\\\"odinger equation via the\ncomplex-coordinate rotation method.",
    "arxiv_id": "quant-ph/9502027",
    "authors": [
      "H. Kleinert",
      "I. Mustapic"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217751X96002029",
    "journal_ref": "Int.J.Mod.Phys.A11:4383-4400,1996",
    "title": "Decay Rates of Metastable States in Cubic Potential by Variational   Perturbation Theory",
    "url": "https://arxiv.org/abs/quant-ph/9502027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6262a5e-c24c-4751-85dc-0a82d9c84d31",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}