{
  "annotation_id": "e154c15d-695e-485f-a24b-95eb4e1f2713",
  "date_created": "2026-03-02T18:02:44.121000Z",
  "date_modified": "2026-03-02T18:02:44.121000Z",
  "file_hash": "0531336f0e5d18e496450bd8f70a131a8f734a245f8508c79e7ffece241142be",
  "private": false,
  "record": {
    "abstract": "A generalization of driven harmonic oscillator with time-dependent mass and\nfrequency, by adding total time-derivative terms to the Lagrangian, is\nconsidered. The generalization which gives a general quadratic Hamiltonian\nsystem does not change the classical equation of motion. Based on the\nobservation by Feynman and Hibbs, the propagators (kernels) of the systems are\ncalculated from the classical action, in terms of solutions of the classical\nequation of motion: two homogeneous and one particular solutions. The kernels\nare then used to find wave functions which satisfy the Schr\\\"{o}dinger\nequation. One of the wave functions is shown to be that of a Gaussian pure\nstate. In every case considered, we prove that the kernel does not depend on\nthe way of choosing the classical solutions, while the wave functions depend on\nthe choice. The generalization which gives a rather complicated quadratic\nHamiltonian is simply interpreted as acting an unitary transformation to the\ndriven harmonic oscillator system in the Hamiltonian formulation.",
    "arxiv_id": "quant-ph/9810034",
    "authors": [
      "Dae-Yup Song"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.59.2616",
    "journal_ref": "Phys.Rev. A59 (1999) 2616-2623",
    "title": "Exact quantum states of a general time-dependent quadratic system from   classical action",
    "url": "https://arxiv.org/abs/quant-ph/9810034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da82c90c-b127-4400-832d-0e61581c3684",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}