{
  "annotation_id": "e8ec96a6-7a27-4495-9465-28506a0c47c7",
  "date_created": "2026-03-02T18:01:49.212000Z",
  "date_modified": "2026-03-02T18:01:49.212000Z",
  "file_hash": "75db6335f4d2feee28b7bff04902cdb3c6fdb0275b938f60e1f8c2f7a47f6dfe",
  "private": false,
  "record": {
    "abstract": "A relativistic phase-space representation for a class of observables with\nmatrix-valued Weyl symbols proportional to the identity matrix\n(charge-invariant observables)is proposed. We take into account the nontrivial\ncharge structure of the position and momentum operators. The evolution equation\ncoincides with its analog in relativistic quantum mechanics with nonlocal\nHamiltonian under conditions where particle-pair creation does not take place\n(free particle and constant magnetic field). The differences in the equations\nare connected with peculiarities of the constraints on the initial conditions.\nAn effective increase in coherence between eigenstates of the Hamiltonian is\nfound and possibilities of its experimental observation are discussed.",
    "arxiv_id": "quant-ph/0112146",
    "authors": [
      "B. I. Lev",
      "A. A. Semenov",
      "C. V. Usenko"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Journal of Russian Laser Research (Kluwer Academic/Plenum\n  Publishers) 23, 347--368 (2002)",
    "title": "Scalar charged particle in Weyl--Wigner--Moyal phase space. Constant   magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/0112146"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "96256e85-e5ec-4ed4-8387-2294587e2b17",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}