{"id":"W2089163329","doi":"10.1088/1742-6596/175/1/012013","title":"Symmetry reduction and superintegrable Hamiltonian systems","year":2009,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Superintegrable Hamiltonian system; Hamiltonian system; Hamiltonian (control theory); Invariant (physics); Generalization; Integrable system","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":[0.0006372426,0.0004148433,0.0006797499,0.001222816,0.0009800139,0.0009875138,0.001108561,0.0006715049,0.003530445],"category_scores_gemma":[0.001422062,0.0002780686,0.0008685655,0.0004233293,0.002226422,0.001714052,0.001214979,0.001543143,0.0003847353],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004679557,"about_ca_system_score_gemma":0.0003712925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002668053,"about_ca_topic_score_gemma":0.0003765041,"domain_scores_codex":[0.9992847,0.0001660577,0.00003193637,0.00008227396,0.0003404461,0.00009463002],"domain_scores_gemma":[0.9994332,0.0001355373,0.00009288496,0.0001923979,0.00008499309,0.00006093956],"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":[0.00002140292,0.00004221974,0.0001650783,0.00002883467,0.00001470018,0.0001880552,0.0002331508,0.00381184,0.00834518,0.9829736,0.0003363258,0.003839601],"study_design_scores_gemma":[0.00002951018,0.00004849998,0.0004869712,0.000009422059,0.000008912029,0.0002080551,0.0001136484,0.03805521,0.005537723,0.9538987,0.001580979,0.00002228506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.720691,0.0002320881,0.2368765,0.0004379489,0.0001070976,0.0001028981,0.0001615122,0.0002212603,0.04116974],"genre_scores_gemma":[0.9520944,0.0001054371,0.04306542,0.0000861068,0.00004810722,0.00007612847,0.0002097071,0.00009927613,0.0042153],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003530445,"threshold_uncertainty_score":0.01181048,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01519709100088481,"score_gpt":0.2375954904124158,"score_spread":0.2223983994115309,"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."}}