{"paper":{"title":"Spectral properties of non-selfadjoint extensions of the Calogero Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"G. Metafune, M. Sobajima","submitted_at":"2014-05-22T08:06:32Z","abstract_excerpt":"We describe all extensions of the Calogero Hamiltonian \\[L=-\\frac{d^2}{dr^2}+\\frac{b}{r^2} \\quad \\text{in}\\ L^2(\\mathbb{R}_+), \\quad b <-\\frac{1}{4}\\] having non empty resolvent and generating an analytic semigroup in $L^2(\\mathbb{R}_+)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5660","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"}