{
  "annotation_id": "e1012558-0c5b-4f7b-b907-00653f4691b4",
  "date_created": "2026-03-02T18:01:45.394000Z",
  "date_modified": "2026-03-02T18:01:45.394000Z",
  "file_hash": "a2a130fac3c5e5f5683c42d02ffb51bc9b3db9ae8aed59999583c94e6497ad6e",
  "private": false,
  "record": {
    "abstract": "A proof is given that an invertible and a unitary operator can be used to\nreproduce the effect of a q-deformed commutator of annihilation and creation\noperators. In other words, the original annihilation and creation operators are\nmapped into new operators, not conjugate to each other, whose standard\ncommutator equals the identity plus a correction proportional to the original\nnumber operator. The consistency condition for the existence of this new set of\noperators is derived, by exploiting the Stone theorem on 1-parameter unitary\ngroups. The above scheme leads to modified equations of motion which do not\npreserve the properties of the original first-order set for annihilation and\ncreation operators. Their relation with commutation relations is also studied.",
    "arxiv_id": "quant-ph/0109036",
    "authors": [
      "Giampiero Esposito"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Int.J.Theor.Phys. 41 (2002) 1043-1052",
    "title": "A new application of non-canonical maps in quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0109036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "31b82795-a6d7-49e2-b051-2f7533bdaa6a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}