{"paper":{"title":"Superintegrable systems with spin induced by coalgebra symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"D. Riglioni, O. Gingras, P. Winternitz","submitted_at":"2013-12-11T18:29:11Z","abstract_excerpt":"A method for deriving superintegrable Hamiltonians with a spin orbital interaction is presented. The method is applied to obtain a new superintegrable system in Euclidean space $\\mathbb{E}_3$ with the following properties. It describes a rotationally invariant interaction between a particle of spin $\\frac{1}{2}$ and one of spin 0. Its Hamiltonian commutes with total angular momentum $\\vec{\\mathcal{J}}$ and with additional vector integrals of motion $\\vec{X}$, $\\vec{Y}$ with components that are third order differential operators. The integrals of motion form a polynomial algebra under commutati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3273","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"}