{
  "annotation_id": "84b95f03-17d4-434e-bf40-39b5abdc1a8a",
  "date_created": "2026-03-02T18:01:38.569000Z",
  "date_modified": "2026-03-02T18:01:38.569000Z",
  "file_hash": "b88bb4f453f7d9eafd22dad736433207f57c2bbdd5164fe036843979d42b30b3",
  "private": false,
  "record": {
    "abstract": "A general procedure based on shift operators is formulated to deal with\nanharmonic potentials. It is possible to extract the ground state energy\nanalytically using our method provided certain consistency relations are\nsatisfied. Analytic expressions for the exact ground state energy have also\nbeen derived specifically for a large class of the one-dimensional oscillator\nwith cubic-quartic anharmonic terms. Our analytical results can be used to\ncheck the accuracy of existing numerical methods, for instance the method of\nstate-dependent diagonalization. Our results also agree with the asymptotic\nbehavior in the divergent pertubative expansion of quartic harmonic oscillator.",
    "arxiv_id": "quant-ph/0007031",
    "authors": [
      "L. C. Kwek",
      "Yong Liu",
      "C. H. Oh",
      "Xiang-Bin Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.62.052107",
    "title": "Analytic Expression for Exact Ground State Energy Based on an Operator   Method for a Class of Anharmonic Potentials",
    "url": "https://arxiv.org/abs/quant-ph/0007031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d45ae2f3-7475-4819-9574-81f76494d767",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}