{"paper":{"title":"Molecular geometric phase from the exact electron-nuclear factorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"physics.chem-ph","authors_text":"E. K. U. Gross, Falk Tandetzky, Ryan Requist","submitted_at":"2015-06-30T18:40:10Z","abstract_excerpt":"The Born-Oppenheimer electronic wavefunction $\\Phi_R^{BO}(r)$ picks up a topological phase factor $\\pm 1$, a special case of Berry phase, when it is transported around a conical intersection of two adiabatic potential energy surfaces in $R$-space. We show that this topological quantity reverts to a geometric quantity $e^{i\\gamma}$ if the geometric phase $\\gamma = \\oint \\mathrm{Im} \\langle \\Phi_R |\\nabla_{\\mu} \\Phi_R\\rangle \\cdot d\\mathbf{R}_{\\mu}$ is evaluated with the conditional electronic wavefunction $\\Phi_R(r)$ from the exact electron-nuclear factorization $\\Phi_R(r)\\chi(R)$ instead of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.09193","kind":"arxiv","version":3},"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"}