{
  "annotation_id": "29c4293c-e4da-4f33-b0e7-50617748a1de",
  "date_created": "2026-03-02T18:01:55.457000Z",
  "date_modified": "2026-03-02T18:01:55.457000Z",
  "file_hash": "648c8e67bf0967c6b3e23907a495c5c2b166cb7d8bc97bae6e11fb076b6c186a",
  "private": false,
  "record": {
    "abstract": "The Feynman path integral for the generalized harmonic oscillator is\nreviewed, and it is shown that the path integral can be used to find a complete\nset of wave functions for the oscillator. Harmonic oscillators with different\n(time-dependent) parameters can be related through unitary transformations. The\nexistence of generalized coherent states for a simple harmonic oscillator can\nthen be interpreted as the result of a (formal) {\\em invariance} under a\nunitary transformation which relates the same harmonic oscillator. In the path\nintegral formalism, the invariance is reflected in that the kernels do not\ndepend on the choice of classical solutions.",
    "arxiv_id": "quant-ph/0211106",
    "authors": [
      "Dae-Yup Song"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Harmonic Oscillator, Coherent States, and Feynman Path Integral",
    "url": "https://arxiv.org/abs/quant-ph/0211106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a7fa906-fd4c-4a50-843c-5948cb798460",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}