{
  "annotation_id": "def9e528-77b7-4efe-b35b-8407701003e4",
  "date_created": "2026-03-02T18:01:52.241000Z",
  "date_modified": "2026-03-02T18:01:52.241000Z",
  "file_hash": "055bba5082a6513eba81b00a016789dcbefe08a655048a3ed948f80d3b99ca8e",
  "private": false,
  "record": {
    "abstract": "Classical oscillators of sextic and octic anharmonicities are solved\nanalytically up to the linear power of \\lambda (Anharmonic Constant) by using\nTaylor series method. These solutions exhibit the presence of secular terms\nwhich are summed up for all orders. The frequency shifts of the oscillators for\nsmall anharmonic constants are obtained. It is found that the calculated shifts\nagree nicely with the available results to-date. The solutions for classical\nanharmonic oscillators are used to obtain the solutions corresponding to\nquantum anharmonic oscillators by imposing fundamental commutation relations\nbetween position and momentum operators.",
    "arxiv_id": "quant-ph/0206011",
    "authors": [
      "Anirban Pathak",
      "Swapan Mandal"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(02)00500-5",
    "title": "Classical and Quantum Oscillators of Sextic and Octic Anharmonicities",
    "url": "https://arxiv.org/abs/quant-ph/0206011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "597006fb-421b-4113-a9af-753d00ebaddf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}