{"id":"W3104277847","doi":"","title":"Families of superintegrable Hamiltonians constructed from exceptional polynomials","year":2016,"lang":"en","type":"article","venue":"","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":47,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Laguerre polynomials; Orthogonal polynomials; Quantum; Mathematics; Limit (mathematics); Jacobi polynomials; Mathematical physics; Classical orthogonal polynomials; Pure mathematics; Physics; Mathematical analysis; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00005055118,0.0001406805,0.0002365125,0.0000358268,0.00004453718,0.00001427186,0.0001460702,0.00003469103,0.009821086],"category_scores_gemma":[0.000003168325,0.00009303956,0.0001260084,0.00007276759,0.00009896533,0.0001187384,0.00004238091,0.00004836017,0.0001731395],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001181842,"about_ca_system_score_gemma":0.00009081246,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00100773,"about_ca_topic_score_gemma":0.000009466919,"domain_scores_codex":[0.999192,0.00002581687,0.0002535463,0.0002046439,0.0001311094,0.0001928547],"domain_scores_gemma":[0.9994257,0.0001195657,0.00007797252,0.0002332186,0.00007830362,0.00006523858],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00002107084,0.0001095409,0.06634966,0.000003457034,0.0001300339,5.01289e-7,0.00008350435,8.535914e-7,0.43037,0.4684846,0.0025511,0.03189568],"study_design_scores_gemma":[0.002116733,0.00009566286,0.02041665,0.0001241911,0.00004854182,8.638137e-7,0.001444365,0.0002651941,0.6199824,0.3485646,0.006389018,0.0005518155],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9443136,0.00001038423,0.02780259,0.0001115686,0.0001870317,0.00008370094,0.0008429815,0.0000278266,0.02662032],"genre_scores_gemma":[0.9971746,0.00000462117,0.001120301,0.00002515921,0.0002110613,0.000009094211,0.00003377346,0.00001613597,0.001405219],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1896124,"threshold_uncertainty_score":0.9910841,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00980257841120789,"score_gpt":0.2221058479980558,"score_spread":0.2123032695868479,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}