{
  "annotation_id": "3a298f9f-be7d-47ec-873c-a335a2ccf78d",
  "date_created": "2026-03-02T18:02:40.650000Z",
  "date_modified": "2026-03-02T18:02:40.650000Z",
  "file_hash": "90fa5d2efaf38bdf71edf844f3649ab3225be03fa682016812232f08b34fc094",
  "private": false,
  "record": {
    "abstract": "The new perturbation theory for the problem of nonstationary anharmonic\noscillator with polynomial nonstationary perturbation is proposed. As a zero\norder approximation the exact wave function of harmonic oscillator with\nvariable frequency in external field is used. Based on some intrinsic\nproperties of unperturbed wave function the variational-iterational method is\nproposed, that make it possible to correct both the amplitude and the phase of\nwave function. As an application the first order correction are proposed both\nfor wave function and S-matrix elements for asymmetric perturbation potential\nof type $V(x,\\tau)=\\alpha (\\tau)x^3+\\beta (\\tau)x^4.$ The transition amplitude\n\u0027\u0027ground state - ground state\u0027\u0027 $W_{00}(\\lambda ;\\rho)$ is analyzed in detail\ndepending on perturbation parameter $\\lambda $ (including strong coupling\nregion $% \\lambda $ $\\sim 1$) and one-dimensional refraction coefficient $\\rho\n$.",
    "arxiv_id": "quant-ph/9712057",
    "authors": [
      "Alexander V. Bogdanov",
      "Ashot S. Gevorkyan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/30/21/015",
    "title": "New Perturbation Theory for Nonstationary Anharmonic Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/9712057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c6550ae9-0005-43ee-80fc-1a1a462bec52",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}