{
  "annotation_id": "0162c3cd-40ac-462a-bef5-83b7684a302d",
  "date_created": "2026-03-02T18:02:13.631000Z",
  "date_modified": "2026-03-02T18:02:13.631000Z",
  "file_hash": "1b3d5b59679012a5b1c9020e5dc075e76d3afea070d785479c1190182c2e48c8",
  "private": false,
  "record": {
    "abstract": "We examine in detail nonperturbative corrections for low lying energies of a\nsymmetric triple-well potential with non-equivalent vacua, for which there have\nbeen disagreement about asymptotic formulas and controversy over the validity\nof the dilute gas approximation. We carry out investigations from various\npoints of view, including not only a numerical comparison of the\nnonperturbative corrections with the exact values but also the prediction of\nthe large order behavior of the perturbation series, consistency with the\nperturbative corrections, and comparison with the WKB approximation. We show\nthat all the results support our formula previously obtained from the valley\nmethod calculation beyond the dilute gas approximation.",
    "arxiv_id": "quant-ph/0411207",
    "authors": [
      "Masatoshi Sato",
      "Toshiaki Tanaka"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217732305016993",
    "journal_ref": "Mod.Phys.Lett. A 20 (2005) 881-896",
    "title": "On Disagreement about Nonperturbative Corrections in Triple-well   Potential",
    "url": "https://arxiv.org/abs/quant-ph/0411207"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9c05ae46-0519-438a-85f1-ec92edb629eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}