{"paper":{"title":"Transition probabilities in the $U(3,3)$ limit of the symplectic IVBM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"H. G. Ganev","submitted_at":"2014-02-07T19:41:31Z","abstract_excerpt":"The tensor properties of the algebra generators are determined in respect to the reduction chain $Sp(12,R) \\supset U(3,3) \\supset U_{p}(3) \\otimes \\overline{U_{n}(3)}\\supset U^{\\ast}(3) \\supset O(3)$, which defines one of the dynamical symmetry limits of the Interacting Vector Boson Model (IVBM). The symplectic basis according to the considered chain is thus constructed and the action of the $Sp(12,R)$ generators as transition operators between the basis states is illustrated. The matrix elements of the $U(3,3)$ ladder operators in the so obtained symmetry-adapted basis are given. The $U(3,3)$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1742","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"}