{"paper":{"title":"Continuous and discrete dynamical Schr\\\"odinger systems: explicit solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP","math.SP"],"primary_cat":"math.DS","authors_text":"A.L. Sakhnovich, B. Fritzsche, B. Kirstein, I.Ya. Roitberg","submitted_at":"2017-01-27T10:50:54Z","abstract_excerpt":"We consider continuous and discrete Schr\\\"odinger systems with self-adjoint matrix potentials and with additional dependence on time (i.e., dynamical Schr\\\"odinger systems). Transformed and explicit solutions are constructed using our generalized (GBDT) version of the B\\\"acklund-Darboux transformation. Asymptotic expansions of these solutions in time are of interest."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08011","kind":"arxiv","version":2},"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"}