{"id":"W2055921655","doi":"10.1063/1.533283","title":"Integrable and superintegrable Hamiltonian systems in magnetic fields","year":2000,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":70,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Integrable system; Superintegrable Hamiltonian system; Hamiltonian system; Mathematical physics; Scalar (mathematics); Hamiltonian (control theory); Quadratic equation; Polar coordinate system; Mathematics; Physics; Classical mechanics; Mathematical analysis; Covariant Hamiltonian field theory; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002597046,0.0001647769,0.00033168,0.0005456689,0.0006379334,0.0006759488,0.0004635321,0.0005589672,0.001946893],"category_scores_gemma":[0.0006329043,0.0001823764,0.0002210116,0.0003076034,0.001331832,0.0009120187,0.0007670947,0.0004884143,0.0001293932],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004740739,"about_ca_system_score_gemma":0.0002672185,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003488958,"about_ca_topic_score_gemma":0.0004856863,"domain_scores_codex":[0.9998134,0.00005681984,0.00000726638,0.00001670862,0.00007493983,0.00003082111],"domain_scores_gemma":[0.9998029,0.00004312299,0.0000455054,0.00002874674,0.00003373223,0.00004595968],"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":[0.00003667174,0.00004242753,0.0008001192,0.00006079006,0.00001720016,0.0004961129,0.0002940413,0.02284067,0.01187901,0.959847,0.0003691167,0.003316726],"study_design_scores_gemma":[0.00008449499,0.0001097771,0.002769015,0.00002572281,0.00001297515,0.0005986101,0.000314656,0.2620615,0.003782093,0.7279633,0.002242441,0.00003541805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9451692,0.0004321016,0.03867809,0.0003438204,0.00004585863,0.00001957955,0.0000406699,0.00008104444,0.0151895],"genre_scores_gemma":[0.9917309,0.00009733654,0.006486489,0.00002802894,0.00001890774,0.00001580198,0.00003982109,0.0000132407,0.001569541],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001946893,"threshold_uncertainty_score":0.006513,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01082977659635712,"score_gpt":0.2318788575414292,"score_spread":0.2210490809450721,"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."}}