{
  "annotation_id": "28c192de-2747-4e9c-9020-57f4ee47b1e9",
  "date_created": "2026-03-02T18:02:20.420000Z",
  "date_modified": "2026-03-02T18:02:20.420000Z",
  "file_hash": "3169a3e4ebf3ff5dec9cd9ab9b6dff340759046a3c6a2cb2ba3dc5b01bdcbd79",
  "private": false,
  "record": {
    "abstract": "We derive some rigorous results concerning the backflow operator introduced\nby Bracken and Melloy. We show that it is linear bounded, self adjoint, and not\ncompact. Thus the question is underlined whether the backflow constant is an\neigenvalue of the backflow operator. From the position representation of the\nbackflow operator we obtain a more efficient method to determine the backflow\nconstant. Finally, detailed position probability flow properties of a numerical\napproximation to the (perhaps improper) wave function of maximal backflow are\ndisplayed.",
    "arxiv_id": "quant-ph/0511109",
    "authors": [
      "Markus Penz",
      "Gebhard Gr\u00fcbl",
      "Sabine Kreidl",
      "Peter Wagner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/2/012",
    "journal_ref": "J. Phys. A: Math. Gen. 39 423-433 (2006)",
    "title": "A new approach to quantum backflow",
    "url": "https://arxiv.org/abs/quant-ph/0511109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c2390dc-46d8-43c8-a9a7-4bfb77bd20ec",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}