{
  "annotation_id": "b206beed-5f8d-4678-ad56-99405c3b541f",
  "date_created": "2026-03-02T18:01:49.023000Z",
  "date_modified": "2026-03-02T18:01:49.023000Z",
  "file_hash": "81332fb891f167f6f81b44a728e063c31fa3994db96cef3426725abb4527ea02",
  "private": false,
  "record": {
    "abstract": "The systems with multimode nonstationary Hamiltonians quadratic in position\nand momentum operators are reviewed. The tomographic probability distributions\n(tomograms) for the Fock states and Gaussian states of the quadratic systems\nare discussed. The tomograms for the Fock states are expressed in terms of\nmultivariable Hermite polynomials. Using the obvious physical relations some\nnew formulas for multivariable Hermite polynomials are found. Examples of\noscillator and charge moving in electromagnetic field are presented.",
    "arxiv_id": "quant-ph/0112130",
    "authors": [
      "V. I. Man\u0027ko",
      "V. A. Sharapov",
      "E. V. Shchukin"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Tomography of multimode quantum systems with quadratic Hamiltonians and   multivariable Hermite polynomials",
    "url": "https://arxiv.org/abs/quant-ph/0112130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f5abecd3-aad2-4e9a-8d71-7829152febb5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}