{"paper":{"title":"Wei-Norman and Berezin's equations of motion on the Siegel-Jacobi disk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Stefan Berceanu","submitted_at":"2014-03-26T09:05:57Z","abstract_excerpt":"We show that the Wei-Norman method applied to describe the evolution on the Siegel-Jacobi disk $\\mathcal{D}^J_1=\\mathcal{D}_1\\times\\mathbb{C}^1$, where $\\mathcal{D}_1$ denotes the Siegel disk, determined by a hermitian Hamiltonian linear in the generators of the Jacobi group $G^J_1$ and Berezin's scheme using coherent states give the same equations of quantum and classical motion when are expressed in the coordinates in which the K\\\"ahler two-form $\\omega_{\\mathcal{D}^J_1} $ can be written as $\\omega_{\\mathcal{D}^J_1}=\\omega_{\\mathcal{D}_1}+\\omega_{\\mathbb{C}^1}$. The Wei-Norman equations on $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6594","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"}