{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001598774,0.0001064374,0.0002702541,0.00000246569,0.0001100825,0.00001814457,0.0002449093,0.000006270183,0.00002851381],"category_scores_gemma":[0.00002480111,0.00004761643,0.0003506542,0.0001755535,0.00004978544,0.00005023985,0.00005554148,0.00007913915,0.00001259503],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008219126,"about_ca_system_score_gemma":0.00001294569,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001441709,"about_ca_topic_score_gemma":0.00000621072,"domain_scores_codex":[0.9992495,0.0000378224,0.0002271461,0.00013703,0.000141119,0.0002073814],"domain_scores_gemma":[0.999186,0.0002817968,0.0001122386,0.0003331254,0.00004125771,0.00004554944],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002615256,0.0005880444,0.01518133,0.0007734671,0.0001637056,1.943844e-7,0.0002636318,0.0005289572,0.006291352,0.8101938,0.0005772638,0.1654121],"study_design_scores_gemma":[0.002497032,0.0002435017,0.02147646,0.00372344,0.0009133092,0.000003306622,0.0002700879,0.2714936,0.004972896,0.2028804,0.4905923,0.0009336787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9397029,0.007695716,0.04512203,0.003681626,0.0001734044,0.001904332,0.00003573127,0.00002467413,0.001659577],"genre_scores_gemma":[0.9991135,0.0001753924,0.00003101765,0.0001090922,0.0002848424,0.0001732277,0.00000134505,0.00001145452,0.0001001075],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6073134,"threshold_uncertainty_score":0.1941742,"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."}}