{
  "annotation_id": "e4170768-c018-41e2-9442-69fd9db700b4",
  "date_created": "2026-03-02T18:02:41.359000Z",
  "date_modified": "2026-03-02T18:02:41.359000Z",
  "file_hash": "c6085e8528b3aa2ce7e3de5f624dee303db69b8e88f2e7fba1a8219b667e3572",
  "private": false,
  "record": {
    "abstract": "We derive a product rule for gauge invariant Weyl symbols which provides a\ngeneralization of the well-known Moyal formula to the case of non-vanishing\nelectromagnetic fields. Applying our result to the guiding center problem we\nexpand the guiding center Hamiltonian into an asymptotic power series with\nrespect to both Planck\u0027s constant $\\hbar$ and an adiabaticity parameter already\npresent in the classical theory. This expansion is used to determine the\ninfluence of quantum mechanical effects on guiding center motion.",
    "arxiv_id": "quant-ph/9805025",
    "authors": [
      "Michael Mueller"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/6/014",
    "journal_ref": "J.Phys.A32:1035-1052,1999",
    "title": "Product rule for gauge invariant Weyl symbols and its application to the   semiclassical description of guiding center motion",
    "url": "https://arxiv.org/abs/quant-ph/9805025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d9e0e6f3-db0f-4e04-bdea-00f5642346a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}