{"paper":{"title":"Self-Adjoint Extensions for the Dirac Operator with Coulomb-Type Spherically Symmetric Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Biagio Cassano, Fabio Pizzichillo","submitted_at":"2017-10-23T11:07:29Z","abstract_excerpt":"We describe the self-adjoint realizations of the operator $H:=-i\\alpha\\cdot \\nabla + m\\beta + \\mathbb V(x)$, for $m\\in\\mathbb R $, and $\\mathbb V(x)= |x|^{-1} ( \\nu \\mathbb{I}_4 +\\mu \\beta -i \\lambda \\alpha\\cdot{x}/{|x|}\\,\\beta)$, for $\\nu,\\mu,\\lambda \\in \\mathbb R$. We characterize the self-adjointness in terms of the behaviour of the functions of the domain in the origin, exploiting Hardy-type estimates and trace lemmas. Finally, we describe the distinguished extension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08200","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"}