{"paper":{"title":"Exceptional Points, Nonnormal Matrices, Hierarchy of Spin Matrices and an Eigenvalue Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Willi-Hans Steeb, Yorick Hardy","submitted_at":"2013-01-14T09:56:14Z","abstract_excerpt":"Exceptional points of a class of non-hermitian Hamilton operators $\\hat H$ of the form $\\hat H=\\hat H_0+i\\hat H_1$ are studied, where $\\hat H_0$ and $\\hat H_1$ are hermitian operators. Finite dimensional Hilbert spaces are considered. The linear operators $\\hat H_0$ and $\\hat H_1$ are given by spin matrices for spin $s=1/2,1,3/2,\\dots$. Since the linear operators studied are nonnormal, properties of such operators are described."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2900","kind":"arxiv","version":4},"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"}