{"paper":{"title":"Irreducible bases and correlations of spin states for double point groups","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Shi-Hai Dong, Xi-Wen Hou, Zhong-Qi Ma","submitted_at":"1998-11-28T00:24:52Z","abstract_excerpt":"In terms of the irreducible bases of the group space of the octahedral double group {\\bf O'}, an analytic formula is obtained to combine the spin states $|j,\\mu \\rangle$ into the symmetrical adapted bases, belonging to a given row of a given irreducible representation of {\\bf O'}. This method is effective for all double point groups. However, for the subgroups of {\\bf O'}, there is another way to obtain those combinations. As an example, the correlations of spin states for the tetrahedral double group {\\bf T'} are calculated explicitly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9811026","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"}