{
  "annotation_id": "99e0f7b0-c5f9-4f5d-9f0a-c0ab5f1e37db",
  "date_created": "2026-03-02T18:00:46.677000Z",
  "date_modified": "2026-03-02T18:00:46.677000Z",
  "file_hash": "6f2ec88ae90a8606dff683db48ac4ffcaec7cab559c46d84efda91e4c3c470c9",
  "private": false,
  "record": {
    "abstract": "We consider a classical model of matter--radiation interaction, in which the\nmatter is represented by a system of infinitely many dipoles on a\none--dimensional lattice, and the system is dealt with in the so--called dipole\n(i.e. linearized) approximation. We prove that there exist normal--mode\nsolutions of the complete system, so that in particular the dipoles, though\nperforming accelerated motions, do not radiate energy away. This comes about in\nvirtue of an exact compensation which we prove to occur, for each dipole,\nbetween the ``radiation reaction force\u0027\u0027 and a part of the retarded forces due\nto all the other dipoles. This fact corresponds to a certain identity which we\nname after Oseen, since it occurs that this researcher did actually propose it,\nalready in the year 1916. We finally make a connection with a paper of Wheeler\nand Feynman on the foundations of electrodynamics. It turns out indeed that the\nOseen identity, which we prove here in a particular model, is in fact a weak\nform of a general identity that such authors were assuming as an independent\npostulate.",
    "arxiv_id": "physics/0312075",
    "authors": [
      "A. Carati",
      "L. Galgani"
    ],
    "categories": [
      "physics.optics",
      "physics.gen-ph"
    ],
    "doi": "10.1393/ncb/i2003-10084-5",
    "title": "Nonradiating normal modes in a classical many-body model of matter   radiation interaction",
    "url": "https://arxiv.org/abs/physics/0312075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "610b85de-8c38-446e-ac2d-9e7b7702882b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}