{"paper":{"title":"Boundary triplets, tensor products and point contacts to reservoirs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"A.A. Boitsev, H. Neidhardt, I.Yu. Popov, J.F. Brasche, M.M. Malamud","submitted_at":"2017-10-20T13:27:10Z","abstract_excerpt":"We consider symmetric operators of the form $S := A\\otimes I_{\\mathfrak T} + I_{\\mathfrak H} \\otimes T$ where $A$ is symmetric and $T = T^*$ is (in general) unbounded. Such operators naturally arise in problems of simulating point contacts to reservoirs. We construct a boundary triplet $\\Pi_S$ for $S^*$ preserving the tensor structure. The corresponding $\\gamma$-field and Weyl function are expressed by means of the $\\gamma$-field and Weyl function corresponding to the boundary triplet $\\Pi_A$ for $A^*$ and the spectral measure of $T$. Applications to 1-D Schr\\\"odinger and Dirac operators are g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07525","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"}