{"paper":{"title":"The classical Taub-Nut System: factorization, spectrum generating algebra and solution to the equations of motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Danilo Latini, Orlando Ragnisco","submitted_at":"2014-11-13T14:59:13Z","abstract_excerpt":"The formalism of SUSYQM (SUperSYmmetric Quantum Mechanics) is properly modified in such a way to be suitable for the description and the solution of a classical maximally superintegrable Hamiltonian System, the so-called Taub-Nut system, associated with the Hamiltonian: $$ \\mathcal{H}_\\eta ({\\mathbf{q}}, {\\mathbf{p}}) = \\mathcal{T}_\\eta ({\\mathbf{q}}, {\\mathbf{p}}) + \\mathcal{U}_\\eta({\\mathbf{q}}) = \\frac{|{\\mathbf{q}}| {\\mathbf{p}}^2}{2m(\\eta + |{\\mathbf{q}}|)} - \\frac{k}{\\eta + |{\\mathbf{q}}|} \\quad (k>0, \\eta>0) \\, .$$ In full agreement with the results recently derived by A. Ballesteros et"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3571","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"}