{"paper":{"title":"Non-existence of a Hohenberg-Kohn Variational Principle in Total Current Density Functional Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Andre Laestadius, Michael Benedicks","submitted_at":"2014-04-12T15:30:52Z","abstract_excerpt":"For a many-electron system, whether the particle density $\\rho(\\mathbf{r})$ and the total current density $\\mathbf{j}(\\mathbf{r})$ are sufficient to determine the one-body potential $V(\\mathbf{r})$ and vector potential $\\mathbf{A}(\\mathbf{r})$, is still an open question. For the one-electron case, a Hohenberg-Kohn theorem exists formulated with the total current density. Here we show that the generalized Hohenberg-Kohn energy functional $\\mathord{\\cal E}_{V_0,\\mathbf{A}_0}(\\rho,\\mathbf{j}) = \\langle \\psi(\\rho,\\mathbf{j}),H(V_0,\\mathbf{A}_0)\\psi(\\rho,\\mathbf{j})\\rangle$ can be minimal for densi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3297","kind":"arxiv","version":1},"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"}