{"paper":{"title":"N-body problem with contact interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Gianfausto Dell'Antonio","submitted_at":"2017-11-28T09:34:27Z","abstract_excerpt":"We introduce \\emph{contact interactions hamiltonians} (self-adjointoperators defined by boundary conditions) between $N$ massive particles in $R^3$, $N \\geq 3$. We prove that they are limits (in strong resolvent sense) when $ \\epsilon \\to 0$ of interaction through a two-body potential which scales according to $ V_\\epsilon (|x|) =\\epsilon ^{-3} V ( \\frac {|x|}{ \\epsilon} )$ where $ V(|x|) $ is an integrable function. The advantage of the formalism of contact interactions is that the results do not depend on the shape of the approximating potentials. Depending on the masses and symmetries there"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10200","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"}