{
  "annotation_id": "336a5bdb-56b2-41d2-ad5e-42a031b833d0",
  "date_created": "2026-03-02T18:00:46.022000Z",
  "date_modified": "2026-03-02T18:00:46.022000Z",
  "file_hash": "76b0dda13884260ea3d10b6d8a745b26a4927e39dd6bf615009141a88730c9a7",
  "private": false,
  "record": {
    "abstract": "In general, Maxwell\u0027s equations require that a wave of electric field be\naccompanied by a wave of magnetic field, and vice versa. However, it is\npossible to have a plane wave in a dielectric medium with electric field E\nparallel to the wave vector k (a longitudinal wave) with no time-dependent\nmagnetic field provided the electric displacement D is zero. We give an example\nfrom plasma physics: the so-called Bernstein wave.",
    "arxiv_id": "physics/0312025",
    "authors": [
      "Kirk T. McDonald"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.class-ph"
    ],
    "title": "An Electrostatic Wave",
    "url": "https://arxiv.org/abs/physics/0312025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "625e61da-45ba-4d1c-80c7-1eb6d8f023f7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}