{"paper":{"title":"On the Global Limiting Absorption Principle for Massless Dirac Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Alan Carey, Denis Potapov, Fedor Sukochev, Fritz Gesztesy, Galina Levitina, Jens Kaad, Roger Nichols","submitted_at":"2017-11-03T05:10:13Z","abstract_excerpt":"We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators $H_0 = \\alpha \\cdot (-i \\nabla)$ for all space dimensions $n \\in \\mathbb{N}$, $n \\geq 2$. This is a new result for all dimensions other than three, in particular, it applies to the two-dimensional case which is known to be of some relevance in applications to graphene.\n  We also prove an essential self-adjointness result for first-order matrix-valued differential operators with Lipschitz coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01029","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"}