{
  "abstract": "A recently developed relativistic quantum optics approach for a fast electron beam-optical modes interaction problem (Optica 6, 1524--1534 (2019)) contains suggestion about a smallness of the error induced by replacement $Ψ_{\\vec k}\\approxΨ_{\\vec k_0}$ for noninteracting free electron Dirac spinors at such wave vector $\\vec k$ that $\\left|\\vec k-\\vec k_0 \\right| \\ll\\left|\\vec k_0\\right|$ with $\\vec k_0$ as a peaked wave vector of a focused electron beam. Here, based on quantum information approach we strictly investigated a degree of coincidence of spinors $Ψ_{\\vec k}$ and $Ψ_{\\vec k_0}$ by calculating fidelity for them. The analytical expression is obtained. It is shown that the fidelity inevitably depends on not only wave vectors $\\vec k$ and $\\vec k_0$ but also on mutual orientation of $[\\vec k_0,\\vec k]$ and $\\hat{\\vec{s}}^{\\dagger}\\vecσ\\hat{\\vec{s}}$ with $\\vec{s}$ is a two-component spin unit vector and $\\vecσ$ is a vector of Pauli matrices. This result can be conceived as a chirality-like effect in the fidelity and constraints spin arbitrariness when applying the developed relativistic quantum optics approach to the problems of interest. A geometrical configuration of $\\vec k_0$, $\\vec k-\\vec k_0$, and $\\hat{\\vec{s}}^†\\vecσ\\hat{\\vec{s}}$ that is optimal in terms of fidelity is established.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13976",
  "author_total": 2,
  "authors": [
    {
      "name": "Svetlana Churochkina"
    },
    {
      "name": "Dmitry Churochkin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2zbm56t03bxe2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13976",
  "fulltext_url": null,
  "id": "2zbm56t03bxe2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13976",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum and Classical Electrodynamics"
    ]
  ],
  "openalex": "W7221811587",
  "pdf_url": "https://arxiv.org/pdf/2610.13976",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2zbm56t03bxe2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.13976",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13976"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "On the Fast Electrons-Optical Modes Interaction Problem Error",
  "title_text": "On the Fast Electrons-Optical Modes Interaction Problem Error",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/2zbm56t03bxe2",
  "venue": "arXiv",
  "versions": []
}