{
  "annotation_id": "85d35897-d7c7-4aed-8b83-5af410cf4875",
  "date_created": "2026-03-02T18:01:42.317000Z",
  "date_modified": "2026-03-02T18:01:42.317000Z",
  "file_hash": "e7f0400673111c6df883da9d23a1e3ba5f21149f4373215afcb32888131c31ea",
  "private": false,
  "record": {
    "abstract": "By using the Feynman-Hibbs prescription for the evolution amplitude, we\nquantize the system of a damped harmonic oscillator coupled to its\ntime-reversed image, known as Bateman\u0027s dual system.\n  The time-dependent quantum states of such a system are constructed and\ndiscussed entirely in the framework of the classical theory.\n  The corresponding geometric (Pancharatnam) phase is calculated and found to\nbe directly related to the ground-state energy of the 1D linear harmonic\noscillator to which the 2D system reduces under appropriate constraint.",
    "arxiv_id": "quant-ph/0102128",
    "authors": [
      "Massimo Blasone",
      "Petr Jizba"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/j.aop.2004.01.008",
    "journal_ref": "Annals Phys.312:354-397,2004",
    "title": "Bateman\u0027s dual system revisited: I. Quantization, geometric phase and   relation with the ground-state energy of the linear harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0102128"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "31a6df5b-a262-4af8-9c44-427547c993d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}