{"paper":{"title":"Kato's Inequality for Magnetic Relativistic Schr\\\"odinger Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Fumio Hiroshima, J\\'ozsef L\\H{o}rinczi, Takashi Ichinose","submitted_at":"2016-04-13T09:06:27Z","abstract_excerpt":"Kato's inequality is shown for the magnetic relativistic Schr\\\"odinger operator $H_{A,m}$ defined as the operator theoretical {\\it square root} of the selfadjoint, magnetic nonrelativistic Schr\\\"odinger operator $(-i\\nabla-A(x))^2+m^2$ with an $L^{2}_{\\text{\\rm loc}}$ vector potential $A(x)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03933","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"}