{"paper":{"title":"Weak commutation relations of unbounded operators: nonlinear extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Atsushi Inoue, Camillo TRapani, Fabio Bagarello","submitted_at":"2013-09-03T13:41:04Z","abstract_excerpt":"We continue our analysis of the consequences of the commutation relation $[S,T]=\\Id$, where $S$ and $T$ are two closable unbounded operators. The {\\em weak} sense of this commutator is given in terms of the inner product of the Hilbert space $\\H$ where the operators act. {We also consider what we call, adopting a physical terminology}, a {\\em nonlinear} extension of the above commutation relations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0673","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"}