{"paper":{"title":"Helium-like atoms. The Green's function approach to the Fock expansion calculations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.atom-ph","authors_text":"Evgeny Liverts, Nir Barnea","submitted_at":"2017-05-25T11:16:04Z","abstract_excerpt":"The renewed Green's function approach to calculating the angular Fock coefficients, $\\psi_{k,p}(\\alpha,\\theta)$ is presented. The final formulas are simplified and specified to be applicable for analytical as well as numerical calculations. The Green's function formulas with the hyperspherical angles $\\theta=0,\\pi$ (arbitrary $\\alpha$) or $\\alpha=0,\\pi$ (arbitrary $\\theta$) are indicated as corresponding to the angular Fock coefficients possessing physical meaning. The most interesting case of $\\theta=0$ corresponding to a collinear arrangement of the particles is studied in detail. It is emph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09125","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"}