{"id":"W1970715516","doi":"10.1103/physreva.64.044102","title":"Amplitude ordering of the trace formula for the two-particle disk billiard","year":2001,"lang":"en","type":"article","venue":"Physical Review A","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Dynamical billiards; Physics; Semiclassical physics; Amplitude; Quantization (signal processing); Truncation (statistics); TRACE (psycholinguistics); Classical mechanics; Periodic orbits; Angular momentum; Quantum mechanics; Quantum","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":[0.000871587,0.0003098604,0.0004048991,0.0009308662,0.0007282395,0.001536282,0.0008493654,0.0008130365,0.003585653],"category_scores_gemma":[0.003262468,0.0001400661,0.0004554472,0.0005332443,0.002139265,0.002227372,0.000732094,0.00115308,0.000673315],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009570677,"about_ca_system_score_gemma":0.0005559601,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008558949,"about_ca_topic_score_gemma":0.0007024642,"domain_scores_codex":[0.9996352,0.00008244925,0.00002266044,0.00002618504,0.0001969911,0.00003648795],"domain_scores_gemma":[0.9995098,0.0001507944,0.00003359599,0.0001257679,0.0001192991,0.00006072823],"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":[0.000008158182,0.000006503402,0.00004920943,0.00001129053,9.519521e-7,0.00004050062,0.00004924004,0.001418787,0.001217112,0.9946649,0.0003150543,0.002218137],"study_design_scores_gemma":[0.000006982617,0.00001413229,0.0001019569,0.000008300735,0.000001679471,0.00006547734,0.00002716836,0.08416539,0.0006947854,0.913707,0.001197214,0.000009850393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3444791,0.001450984,0.5220973,0.002137093,0.0005752111,0.0001160175,0.0001466422,0.0003772265,0.1286204],"genre_scores_gemma":[0.9094722,0.0008045992,0.07748552,0.0002490536,0.0002276128,0.00009256046,0.00009994808,0.0001495906,0.01141901],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003585653,"threshold_uncertainty_score":0.01199526,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02355299852402338,"score_gpt":0.3213838039140996,"score_spread":0.2978308053900762,"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."}}