{"paper":{"title":"Exact factorization-based density functional theory of electrons and nuclei","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"E. K. U. Gross, Ryan Requist","submitted_at":"2016-06-27T19:45:04Z","abstract_excerpt":"The ground state energy of a system of electrons and nuclei is proven to be a variational functional of the conditional electronic density $n_R(\\mathbf{r})$, the nuclear wavefunction $\\chi(R)$ and an induced vector potential $A_{\\mu}(R)$ and quantum geometric tensor $\\mathcal{T}_{\\mu\\nu}(R)$ derived from the conditional electronic wavefunction $\\Phi_R(r)$ over nuclear configuration space, where $r=\\mathbf{r}_1,\\mathbf{r}_2,\\ldots$ are electronic coordinates and $R=\\mathbf{R}_1,\\mathbf{R}_2,\\ldots$ are nuclear coordinates. The ground state $(n_R,\\chi,A_{\\mu},\\mathcal{T}_{\\mu\\nu})$ can be calcul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08424","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}