{
  "annotation_id": "3ddbfccd-8ce4-46f9-9a5c-cc909b2d3cef",
  "date_created": "2026-03-02T18:02:06.649000Z",
  "date_modified": "2026-03-02T18:02:06.649000Z",
  "file_hash": "20088f5c7217a05d5f982d7812575664b334a00e088174c617f30a0c3e14a741",
  "private": false,
  "record": {
    "abstract": "A new scheme of approximation in quantum theory is proposed which is\npotentially applicable to arbtrary interacting systems. The method consists in\nin approximating the original Hamiltonian by one corresponding to a suitable\nexactly solvable system (with interaction) such that the \"quantum average\" of\nboth are equal, thus forcing self-consistency.The method transcends the\nlimitations of the variational method and the perturbation theory.The results\nare systematically improvable by the construction of a improved perturbation\ntheory (IPT) which automatically satisfies the condition of convergence.\nUniformly accurate results are obtained for the case of the quartic-,sextic-\nand octic anharmonic oscillators as well as the quartic and sextic double well\noscillators. The leading order results reproduce earlier results by different\nmethods using different input assumptions.The results for the sextic\noscillators agree well with exact prediction of supersymmetry. We also discuss\nthe stability and structure of the effective vacuum state of the approximation.",
    "arxiv_id": "quant-ph/0406036",
    "authors": [
      "B. P. Mahapatra",
      "N. Santi",
      "N. B. Pradhan"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217751X05022408",
    "journal_ref": "Int.J.Mod.Phys.A20:2687-2714,2005",
    "title": "A new general approximation scheme(NGAS) in quantum theory:application   to the anharmonic- and double well oscillators",
    "url": "https://arxiv.org/abs/quant-ph/0406036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a3d265fb-22d2-45ac-be2e-8c5bcf78a6ce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}