{
  "annotation_id": "2198a25a-a0a3-4e7b-8d97-646f739f8385",
  "date_created": "2026-03-02T18:02:06.148000Z",
  "date_modified": "2026-03-02T18:02:06.148000Z",
  "file_hash": "178dc30f2ab405ab52f2b5cc59971d3e1d9685d512d32d0cae82d53580609589",
  "private": false,
  "record": {
    "abstract": "We give a general expression for the normally ordered form of a function\nF(w(a,a*)) where w is a function of boson annihilation and creation operators\nsatisfying [a,a*]=1. The expectation value of this expression in a coherent\nstate becomes an exact generating function of Feynman-type graphs associated\nwith the zero-dimensional Quantum Field Theory defined by F(w). This enables\none to enumerate explicitly the graphs of given order in the realm of\ncombinatorially defined sequences. We give several examples of the use of this\ntechnique, including the applications to Kerr-type and superfluidity-type\nhamiltonians.",
    "arxiv_id": "quant-ph/0405103",
    "authors": [
      "P. Blasiak",
      "K. A. Penson",
      "A. I. Solomon",
      "A. Horzela",
      "G. E. H. Duchamp"
    ],
    "categories": [
      "quant-ph",
      "math.CO"
    ],
    "doi": "10.1063/1.1904161",
    "journal_ref": "Journal of Mathematical Physics 46: 052110 (2005)",
    "title": "Some useful combinatorial formulae for bosonic operators",
    "url": "https://arxiv.org/abs/quant-ph/0405103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7bbdb6ad-9dae-4b4d-aeac-f8fd04be41c9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}