{
  "annotation_id": "a27a4f6c-8dd6-49f3-8110-66c7a3bda20e",
  "date_created": "2026-03-02T18:02:17.089000Z",
  "date_modified": "2026-03-02T18:02:17.089000Z",
  "file_hash": "98c7ebedafd3b0c0aafbdad5d25c0c5ab52e542de469c105af4c3d5cdb05881d",
  "private": false,
  "record": {
    "abstract": "Given a constant of motion for the one-dimensional harmonic oscillator with\nlinear dissipation in the velocity, the problem to get the Hamiltonian for this\nsystem is pointed out, and the quantization up to second order in the\nperturbation approach is used to determine the modification on the eigenvalues\nwhen dissipation is taken into consideration. This quantization is realized\nusing the constant of motion instead of the Hamiltonian.",
    "arxiv_id": "quant-ph/0506179",
    "authors": [
      "Gustavo Lopez",
      "Pablo Lopez"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10773-006-9064-9",
    "title": "Velocity quantization approach of the one-dimensional dissipative   harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0506179"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7b16b774-16de-4599-ac8d-93ff0a8e8e33",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}