{
  "annotation_id": "78972e5d-2752-493b-906c-6e0feeadedb1",
  "date_created": "2026-03-02T18:01:21.689000Z",
  "date_modified": "2026-03-02T18:01:21.689000Z",
  "file_hash": "956ecd7bb9d9659953a63bf3994b31ebd805626b6488609d05c51c1486947751",
  "private": false,
  "record": {
    "abstract": "We discuss applications of the quantile concept of trajectories and\nvelocities to the propagation of electromagnetic signals in wave guides of\nvarying cross section. Quantile motion is a general description of the\ntransport properties of measurable conserved quantities in quantum mechanics as\nwell as in classical electrodynamics. In the latter case we consider the\nquantile motion of electromagnetic energy as the direct result of a physical\nmeasurement. In this sense the quantile velocity corresponds to the\nelectromagnetic signal velocity also in the presence of barriers and\ninhomogeneities in the medium of propagation. We show that this signal velocity\nis always smaller than the speed of light in vacuum. Using numerical examples\nwe demonstrate how typical wave phenomena can be described in terms of the\nquantile motion.",
    "arxiv_id": "physics/9809033",
    "authors": [
      "H. D. Dahmen",
      "E. Gjonaj",
      "T. Stroh"
    ],
    "categories": [
      "physics.class-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1002/(SICI)1521-3889(199812)7:7/8\u003c645::AID-ANDP645\u003e3.0.CO;2-P",
    "title": "Quantile motion of electromagnetic waves in wave guides of varying cross   section and dispersive media",
    "url": "https://arxiv.org/abs/physics/9809033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a28026e-53ab-4412-9e09-dd78f4b860a1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}