{
  "annotation_id": "bb1561f2-cf0a-4344-8b43-f79f5a4f74e6",
  "date_created": "2026-03-02T18:02:10.175000Z",
  "date_modified": "2026-03-02T18:02:10.175000Z",
  "file_hash": "a9d7f2425960957add2a96e175bc81a5324afb3d2d99040024c26fc535182664",
  "private": false,
  "record": {
    "abstract": "Coherent states of the two dimensional harmonic oscillator are constructed as\nsuperpositions of energy and angular momentum eigenstates. It is shown that\nthese states are Gaussian wave-packets moving along a classical trajectory,\nwith a well defined elliptical polarization. They are coherent correlated\nstates with respect to the usual cartesian position and momentum operators. A\nset of creation and annihilation operators is defined in polar coordinates, and\nit is shown that these same states are precisely coherent states with respect\nto such operators.",
    "arxiv_id": "quant-ph/0407068",
    "authors": [
      "E. Colavita",
      "S. Hacyan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2005.01.061",
    "title": "Coherent states with elliptical polarization",
    "url": "https://arxiv.org/abs/quant-ph/0407068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "59a4b274-9f2e-4ebe-b484-6200319360b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}