{
  "annotation_id": "eddffe09-03ad-4e58-8180-d3478a191e7c",
  "date_created": "2026-03-02T18:00:25.212000Z",
  "date_modified": "2026-03-02T18:00:25.212000Z",
  "file_hash": "99f6ade365ebe7c140987369a32303e8ebbbeddacc92b960bc70cc726d78fd11",
  "private": false,
  "record": {
    "abstract": "We analyse the well-known Tamm problem treating the charge motion on a finite\nspace interval with the velocity exceeding light velocity in medium. By\ncomparing Tamm\u0027s formulae with the exact ones we prove that former do not\nproperly describe Cherenkov radiation terms. We also investigate Tamm\u0027s formula\ncos(theta)=1/(beta n) defining the position of maximum of the field strengths\nFourier components for the infinite uniform motion of a charge. Numerical\nanalysis of the Fourier components of field strengths shows that they have a\npronounced maximum at cos(theta)=1/(beta n) only for the charge motion on the\ninfinitely small interval. As the latter grows, many maxima appear. For the\ncharge motion on an infinite interval there is infinite number of maxima of the\nsame amplitude. The quantum analysis of Tamm\u0027s formula leads to the same\nresults.",
    "arxiv_id": "nucl-th/9907028",
    "authors": [
      "G. N. Afanasiev",
      "V. G. Kartavenko",
      "Yu. P. Stepanovsky"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1088/0022-3727/32/16/311",
    "journal_ref": "J. Phys. D: Appl. Phys, 32 (1999) 2029-2043.",
    "title": "On Tamm\u0027s problem in the Vavilov-Cherenkov radiation theory",
    "url": "https://arxiv.org/abs/nucl-th/9907028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cfe1b4f9-24d3-4357-8098-8866ba953cad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}