{
  "annotation_id": "13c4afa4-9107-4500-8c8f-b40840f490a3",
  "date_created": "2026-03-02T18:00:36.446000Z",
  "date_modified": "2026-03-02T18:00:36.446000Z",
  "file_hash": "efcceed98083bff1aef5d3f0ada74e835b2e6b233e16bb229174f4f42ee9e947",
  "private": false,
  "record": {
    "abstract": "It is shown that the electron wave vector in a crystal cannot be smaller than\na certain value. As a result, in a crystal there are many first Brillouin\nzones, and not only one as it had been supposed earlier. In crystal there can\nbe many electrons with the same wave vector, and not only two as it had been\nsupposed earlier. These electrons must be at sufficiently large distances from\neach other. An attempt is made to explain the decrease of electric and thermal\nconductivity with decreasing crystal size.",
    "arxiv_id": "physics/0108017",
    "authors": [
      "I. A. Stepanov"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "journal_ref": "Computer Modelling \u0026 New Technologies. 2000. V. 4. No 2. 72-74.\n  Transport and Telecommunication Institute, Riga, Latvia. www.tsi.lv",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "The Wave Vector is Limited from Below",
    "url": "https://arxiv.org/abs/physics/0108017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "41c29110-822e-4f9b-8d6d-1d5a7c62223a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}