{"paper":{"title":"Relevance of coordinate and particle-number scaling in density functional theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Eduardo Fabiano, Lucian A. Constantin","submitted_at":"2013-01-17T10:43:31Z","abstract_excerpt":"We discuss a $\\beta$-dependent family of electronic density scalings of the form $n_\\lambda(\\R)=\\lambda^{3\\beta+1}\\; n(\\lambda^\\beta \\R)$ in the context of density functional theory. In particular, we consider the following special cases: the Thomas-Fermi scaling ($\\beta=1/3$ and $\\lambda \\gg 1$), which is crucial for the semiclassical theory of neutral atoms; the uniform-electron-gas scaling ($\\beta=-1/3$ and $\\lambda\\gg 1$), that is important in the semiclassical theory of metallic clusters; the homogeneous density scaling ($\\beta=0$) which can be related to the self-interaction problem in d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4040","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"}