{"paper":{"title":"The 2-matrix of the spin-polarized electron gas: contraction sum rules and spectral resolutions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"F. Tasnadi, P. Ziesche","submitted_at":"2003-12-19T11:02:55Z","abstract_excerpt":"The spin-polarized homogeneous electron gas with densities $\\rho_\\uparrow$ and $\\rho_\\downarrow$ for electrons with spin `up' ($\\uparrow$) and spin `down' ($\\downarrow$), respectively, is systematically analyzed with respect to its lowest-order reduced densities and density matrices and their mutual relations. The three 2-body reduced density matrices $\\gamma_{\\uparrow\\uparrow}$, $\\gamma_{\\downarrow\\downarrow}$, $\\gamma_a$ are 4-point functions for electron pairs with spins $\\uparrow\\uparrow$, $\\downarrow\\downarrow$, and antiparallel, respectively. From them, three functions $G_{\\uparrow\\uparr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0312519","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0312519/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}