{
  "id": "2202.05015",
  "version": "v1",
  "published": "2022-02-10T13:19:30.000Z",
  "updated": "2022-02-10T13:19:30.000Z",
  "title": "Towards a derivation of Classical ElectroDynamics of charges and fields from QED",
  "authors": [
    "Zied Ammari",
    "Marco Falconi",
    "Fumio Hiroshima"
  ],
  "comment": "59 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr's correspondence principle of quantum mechanics. On the other hand, we establish the global well-posedness of the Newton--Maxwell system on energy-spaces under weak assumptions on the charge distribution. Both results improve the state of the art, and are obtained by incorporating semiclassical and measure theoretical techniques. One of the novelties is the use of quantum propagation properties in order to build global solutions of the Newton--Maxwell equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-10T13:19:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V10",
      "35Q61",
      "81Q20",
      "81S08",
      "28C20"
    ],
    "keywords": [
      "classical electrodynamics",
      "derivation",
      "newton-maxwell equation",
      "formal bohrs correspondence principle",
      "build global solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 59,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}