{
  "annotation_id": "077f74ad-e79a-442e-baef-55aa65abe1b9",
  "date_created": "2026-03-02T18:02:41.699000Z",
  "date_modified": "2026-03-02T18:02:41.699000Z",
  "file_hash": "882d6fc750c193a2e1777e72d6cefa0db59eb8abfce11b51901a0ef9879dabb8",
  "private": false,
  "record": {
    "abstract": "Conventionally, perturbative and non-perturbative calculations are performed\nindependently. In this paper, valleys in the configuration space in quantum\nmechanics are investigated as a way to treat them in a unified manner. All the\nknown results of the interplay of them are reproduced naturally. The\nprescription for separating the non-perturbative contribution from the\nperturbative is given in terms of the analytic continuation of the valley\nparameter. Our method is illustrated on a new series of examples with the\nasymmetric double-well potential. We obtain the non-perturbative part\nexplicitly, which leads to the prediction of the large order behavior of the\nperturbative series. We calculate the first 200 perturbative coefficients for a\nwide range of parameters and confirm the agreement with the prediction of the\nvalley method.",
    "arxiv_id": "quant-ph/9710064",
    "authors": [
      "Hideaki Aoyama",
      "Hisashi Kikuchi",
      "Ikuo Okouchi",
      "Masatoshi Sato",
      "Shinya Wada"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/S0370-2693(98)00116-6",
    "journal_ref": "Phys.Lett. B424 (1998) 93-100",
    "title": "Valleys in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9710064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2efab72c-155f-4316-b1ce-ce5cb55f0c5b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}