{"paper":{"title":"The self-energy of the uniform electron gas in the second order of exchange","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"P. Ziesche","submitted_at":"2006-05-08T11:18:12Z","abstract_excerpt":"The on-shell self-energy of the homogeneous electron gas in second order of exchange, $\\Sigma_{2{\\rm x}}= {\\rm Re} \\Sigma_{2{\\rm x}}(k_{\\rm F},k_{\\rm F}^2/2)$, is given by a certain integral. This integral is treated here in a similar way as Onsager, Mittag, and Stephen [Ann. Physik (Leipzig) {\\bf 18}, 71 (1966)] have obtained their famous analytical expression $e_{2{\\rm x}}={1/6}\\ln 2- 3\\frac{\\zeta(3)}{(2\\pi)^2}$ (in atomic units) for the correlation energy in second order of exchange. Here it is shown that the result for the corresponding on-shell self-energy is $\\Sigma_{2{\\rm x}}=e_{2{\\rm x"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0605188","kind":"arxiv","version":4},"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/0605188/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"}