{"paper":{"title":"Quantum models with spectrum generated by the flows of polynomial zeros","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alexander Moroz","submitted_at":"2014-03-15T09:02:05Z","abstract_excerpt":"A class {\\cal R}_p of purely bosonic models is characterized having the following properties in the Bargmann Hilbert space of analytic functions: (i) wave function \\psi(\\epsilon,z)=\\sum_{n=0}^\\infty \\phi_n(\\epsilon) z^n is the {\\em generating function} for orthogonal polynomials \\phi_n(\\epsilon) of a discrete energy variable \\epsilon, (ii) any Hamiltonian \\hat{H}_b\\in {\\cal R}_p has nondegenerate purely point spectrum that corresponds to infinite discrete support of measure d\\nu(x) in the orthogonality relation of the polynomials \\phi_n, (iii) the support is determined exclusively by the point"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3773","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"}