{"paper":{"title":"A convenient coordinatization of Siegel-Jacobi domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Stefan Berceanu","submitted_at":"2012-04-25T10:33:20Z","abstract_excerpt":"We determine the homogeneous K\\\"ahler diffeomorphism $FC$ which expresses the K\\\"ahler two-form on the Siegel-Jacobi ball $\\mc{D}^J_n=\\C^n\\times \\mc{D}_n$ as the sum of the K\\\"ahler two-form on $\\C^n$ and the one on the Siegel ball $\\mc{D}_n$. The classical motion and quantum evolution on $\\mc{D}^J_n$ determined by a hermitian linear Hamiltonian in the generators of the Jacobi group $G^J_n=H_n\\rtimes\\text{Sp}(n,\\R)_{\\C}$ are described by a matrix Riccati equation on $\\mc{D}_n$ and a linear first order differential equation in $z\\in\\C^n$, with coefficients depending also on $W\\in\\mc{D}_n$. $H_n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5610","kind":"arxiv","version":2},"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"}