{"paper":{"title":"Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Biagio Cassano, Fabio Pizzichillo","submitted_at":"2018-10-03T09:49:31Z","abstract_excerpt":"We determine explicitly a boundary triple for the Dirac operator $H:=-i\\alpha\\cdot \\nabla + m\\beta + \\mathbb V(x)$ in $\\mathbb R^3$, for $m\\in\\mathbb R$ and $\\mathbb V(x)= |x|^{-1} ( \\nu \\mathbb{I}_4 +\\mu \\beta -i \\lambda \\alpha\\cdot{x}/|x|\\,\\beta)$, with $\\nu,\\mu,\\lambda \\in \\mathbb R$. Consequently we determine all the self-adjoint realizations of $H$ in terms of the behaviour of the functions of their domain in the origin. When $\\sup_{x} |x||\\mathbb V(x)| \\leq 1$, we discuss the problem of selecting the distinguished extension requiring that its domain is included in the domain of the appro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01659","kind":"arxiv","version":3},"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"}