{
  "annotation_id": "112b46dc-5e43-43b7-a303-2b0b5a3477c1",
  "date_created": "2026-03-02T18:01:38.738000Z",
  "date_modified": "2026-03-02T18:01:38.738000Z",
  "file_hash": "bd5d5fbc175c9bae567c86993d74d94d465b596abb7f129f4dc4731cb6500ab3",
  "private": false,
  "record": {
    "abstract": "Within the scope of the relativistic quantum theory for electron-laser\ninteraction in a medium and using the resonant approximation for the two\ndegenerated states of an electron in a monochromatic radiation field [1] a\nnonperturbative solution of the Dirac equation (nonlinear over field solution\nof the Hill type equation) are obtained. The multiphoton cross sections of\nelectrons coherent scattering on the plane monochromatic wave at the Cherenkov\nresonance are obtained taking into account the specificity of induced Cherenkov\nprocess [1, 2] and spin-laser interaction as well. In the result of this\nresonant scattering the electron beam quantum modulation at high frequencies\noccurs that corresponds to a quantity of an electron energy exchange at the\ncoherent reflection from the \u0027\u0027phase lattice\u0027\u0027 of slowed plane wave in a\nmedium. So, we can expect to have a coherent X-ray source in induced Cherenkov\nprocess, since such beam is a potential source of coherent radiation itself.",
    "arxiv_id": "quant-ph/0005130",
    "authors": [
      "H. K. Avetissian",
      "A. L. Khachatryan",
      "G. F. Mkrtchian"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Multiphoton Resonant Transitions of Electrons in the Laser Field in a   Medium",
    "url": "https://arxiv.org/abs/quant-ph/0005130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4623f05a-c4d9-497e-9ec3-51fa51e7fa53",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}