{"id":"W2094149152","doi":"10.1063/1.3013804","title":"Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":77,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Supersymmetric quantum mechanics; Cartesian coordinate system; Mathematical physics; Hamiltonian (control theory); Quadratic equation; Physics; Quantum mechanics; Equations of motion; Scalar (mathematics); Classical mechanics; Quantum; Mathematics; Quantum statistical mechanics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004160167,0.000383775,0.00038365,0.0007664465,0.0007084804,0.001010342,0.0007751453,0.0005262889,0.002310841],"category_scores_gemma":[0.0008588744,0.000181649,0.00059095,0.0005530951,0.002198182,0.00193812,0.0008571052,0.0008356033,0.0002409115],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008798514,"about_ca_system_score_gemma":0.000740586,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001880791,"about_ca_topic_score_gemma":0.001509276,"domain_scores_codex":[0.9997324,0.00005806868,0.000009914997,0.00002110655,0.000127291,0.00005121192],"domain_scores_gemma":[0.999731,0.00005153643,0.00006673127,0.00005117767,0.00004798142,0.00005152105],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001103815,0.00001202784,0.0001245004,0.00001808399,0.000003735716,0.0001015734,0.00007005794,0.004060819,0.001342754,0.9924592,0.0002050955,0.001590948],"study_design_scores_gemma":[0.00001347342,0.00002222767,0.000268172,0.000006821933,0.00000394679,0.0002495927,0.00008095287,0.06361797,0.0009454881,0.9336727,0.001105293,0.00001323118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7823993,0.001462628,0.1439695,0.001016704,0.0001066695,0.0000473442,0.00008350211,0.0001972769,0.07071708],"genre_scores_gemma":[0.9836915,0.0002787434,0.0119553,0.0000499729,0.00005297222,0.00001560248,0.00004536237,0.0000336493,0.003876854],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002310841,"threshold_uncertainty_score":0.007730544,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01280400477178296,"score_gpt":0.2381507244361274,"score_spread":0.2253467196643445,"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."}}