{"paper":{"title":"Absolute continuity of the spectrum of coupled identical systems on 1D lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Beatrice Langella, Dario Bambusi","submitted_at":"2018-06-06T12:53:41Z","abstract_excerpt":"We prove that the spectrum of the discrete Schr\\\"odinger operator on $\\ell^2(Z^2)$, $(\\psi_{n,m})\\mapsto -(\\psi_{n+1,m} +\\psi_{n-1,m} +\\psi_{n,m+1} +\\psi_{n,m-1})+V_n\\psi_{n,m}$ is absolutely continuous."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02151","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"}