{
  "abstract": "We develop a phase space electronic structure view of the solid state, where electronic bands are parameterized by both nuclear position $\\mathbf{Q}$ and nuclear momentum $\\mathbfΠ$ (rather than the standard practice of only $\\mathbf{Q}$). Within this phase space, non-Born-Oppenheimer electronic structure context, we prove a nuclear wavevector ($\\mathbf{q}$)-dependent version of Nafie's equality relating the change in electronic momentum as a function of nuclear momentum, $\\partial \\langle\\mathbf{p}\\rangle/\\partial \\mathbfΠ_q$, to the change in electronic position as a function of nuclear position, $\\partial \\langle\\mathbf{r}\\rangle/\\partial \\mathbf{Q}_q$. Furthermore, we show how information about electron-phonon interactions, specifically nuclear-induced electronic momentum, can be extracted from simple band structure calculations -- without Berry curvature calculations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.06260",
  "author_total": 3,
  "authors": [
    {
      "name": "Nadine Bradbury"
    },
    {
      "name": "Linqing Peng"
    },
    {
      "name": "Joseph Subotnik"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/54fd67hrrtj8r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.06260",
  "fulltext_url": null,
  "id": "54fd67hrrtj8r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.06260",
  "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",
      "physics.chem-ph"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7201841549",
  "pdf_url": "https://arxiv.org/pdf/2608.06260",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/54fd67hrrtj8r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2608.06260",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.06260"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "arxiv:physics.chem-ph",
      "subfield": "physical"
    }
  ],
  "title": "A Phase Space Electronic Structure View of The Solid State",
  "title_text": "A Phase Space Electronic Structure View of The Solid State",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/54fd67hrrtj8r",
  "venue": "arXiv",
  "versions": []
}