{"paper":{"title":"Dirac operators, shell interactions and discontinuous gauge functions across the boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Albert Mas","submitted_at":"2015-12-11T10:09:45Z","abstract_excerpt":"Given a bounded smooth domain $\\Omega\\subset\\mathbb{R}^3$, we explore the relation between couplings of the free Dirac operator $-i\\alpha\\cdot\\nabla+m\\beta$ with pure electrostatic shell potentials $\\lambda\\delta_{\\partial\\Omega}$ ($\\lambda\\in\\mathbb{R}$) and some perturbations of those potentials given by the normal vector field $N$ on the shell $\\partial\\Omega$, namely $\\{\\lambda_e+\\lambda_n(\\alpha\\cdot N)\\}\\delta_{\\partial\\Omega}$ ($\\lambda_e$, $\\lambda_n\\in\\mathbb{R}$). Under the appropiate change of parameters, the couplings with perturbed and unperturbed electrostatic shell potentials yi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03573","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"}