{"paper":{"title":"Wave Equations with Point Interactions in Finite Energy Space","license":"","headline":"","cross_cats":["math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"Andrea Posilicano, Diego Noja, Massimo Bertini","submitted_at":"2000-10-27T16:19:03Z","abstract_excerpt":"Given the abstract wave equation $\\ddot\\phi-\\Delta_\\alpha\\phi=0$, where $\\Delta_\\alpha$ is the Laplace operator with a point interaction of strength $\\alpha$, we define and study $\\bar W_\\alpha$, the associated wave generator in the phase space of finite energy states. We prove the existence of the phase flow generated by $\\bar W_\\alpha$, and describe its most relevant properties with particular emphasis on the associated symplectic structure and scattering theory"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0010047","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"}