{
  "annotation_id": "93a638ac-00ac-4674-9f78-6048a20b3ff1",
  "date_created": "2026-03-02T18:02:40.449000Z",
  "date_modified": "2026-03-02T18:02:40.449000Z",
  "file_hash": "2d82928afa8508204ef218ad08591eb080ca14fc2fb1ef7226d702b1d1e19039",
  "private": false,
  "record": {
    "abstract": "The composition of the quantum potential and its role in the breakdown of\nclassical symplectic symmetry in quantum mechanics is investigated. General\nexpressions are derived for the quantum potential in both configuration space\nand momentum space representations. By comparing the configuration space and\nmomentum space representations of the causal interpretation of quantum\nmechanics, the quantum potential is shown to break the symplectic symmetry that\nexists between these two representations in classical mechanics. In addition,\nit is shown that the quantum potential in configuration space may be expressed\nas the sum of a momentum dispersion energy and a spatial localisation energy; a\ncomplementary expression for the quantum potential being found in the momentum\nrepresentation. The composition and role of the quantum potential in both\nrepresentations is analysed for a particle in a linear potential and for two\neigenstates of the quantum harmonic oscillator.",
    "arxiv_id": "quant-ph/9703007",
    "authors": [
      "M. R. Brown"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The quantum potential: the breakdown of classical symplectic symmetry   and the energy of localisation and dispersion",
    "url": "https://arxiv.org/abs/quant-ph/9703007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd480cda-e906-461d-a192-b75f96989b7e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}