{"id":"W2044021210","doi":"10.1139/p06-068","title":"Factorization of the constants of motion","year":2006,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Physics; Factorization; Mathematical physics; Hamiltonian (control theory); Feynman diagram; Motion (physics); Quadratic equation; Lagrangian; Combinatorics; Classical mechanics; Mathematics; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00005155789,0.00004494917,0.0001244615,0.00002071534,0.00003237455,0.000007282435,0.00009158337,0.00001548394,0.00003192231],"category_scores_gemma":[0.000003121495,0.00003162648,0.000094027,0.0001146215,0.00005570575,0.00005873292,0.000002998801,0.00005977931,5.771308e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002339084,"about_ca_system_score_gemma":0.0002413895,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.009020814,"about_ca_topic_score_gemma":0.0006818676,"domain_scores_codex":[0.999525,0.00002297846,0.000247235,0.00003033266,0.00009469605,0.00007976354],"domain_scores_gemma":[0.9993294,0.00001457646,0.0003671777,0.00007121267,0.0001571227,0.0000605073],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003175777,0.00004645768,0.5310641,0.00002231168,0.00004291139,6.517387e-7,0.0001906236,0.002674732,0.008347923,0.4514523,0.0004722245,0.00568262],"study_design_scores_gemma":[0.001982204,0.0002137506,0.4084316,0.0006163438,0.0001825149,0.000006639576,0.0009859052,0.005097959,0.09282867,0.4857589,0.003461137,0.0004343756],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.936931,0.00003080417,0.05974179,0.00004149752,0.0003690562,0.0000550782,0.000107459,5.908164e-7,0.002722705],"genre_scores_gemma":[0.9996657,1.274745e-7,0.00001971481,0.000002799049,0.0002685155,1.439358e-7,0.00000353992,0.00000422888,0.00003518453],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1226325,"threshold_uncertainty_score":0.9975782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006599265425644743,"score_gpt":0.1848495613127312,"score_spread":0.1782502958870864,"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."}}