{
  "annotation_id": "f217963b-2001-4c99-bce8-537b2c27a72c",
  "date_created": "2026-03-02T18:02:03.346000Z",
  "date_modified": "2026-03-02T18:02:03.346000Z",
  "file_hash": "6fc8754053f5259b4ea864875270a4a76e400d265027953f4fec5beb7c05d53f",
  "private": false,
  "record": {
    "abstract": "We give a physical notion to all self-adjoint extensions of the operator\n$id/dx$ in the finite interval. It appears that these extensions realize\ndifferent non-unitary equivalent representations of CCR and are related to the\nmomentum operator viewed from different inertial systems. This leads to the\ngeneralization of Galilei equivalence principle and gives a new insight into\nquantum correspondence rule. It is possible to get transformation laws of wave\nfunction under Galilei transformation for any scalar potential. This\ngeneralizes mass superselection rule. There is also given a new and general\ninterpretation of a momentum representation of wave function. It appears that\nconsistent treatment of this problem leads to the time-dependent interactions\nand to the abrupt switching-off of the interaction.",
    "arxiv_id": "quant-ph/0310128",
    "authors": [
      "Ludwik Turko"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.1782671",
    "journal_ref": "J.Math.Phys. 45 (2004) 3659-3675",
    "title": "Finite Size Universe or Perfect Squash Problem v2",
    "url": "https://arxiv.org/abs/quant-ph/0310128"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5b045ce3-6855-43c1-9ac4-a59618f1c34c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}