{"id":"W2028445376","doi":"10.1103/physreve.67.066213","title":"Semiclassical trace formulas for noninteracting identical particles","year":2003,"lang":"en","type":"article","venue":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Semiclassical physics; Dynamical billiards; Formalism (music); TRACE (psycholinguistics); Homogeneous space; Physics; Classical mechanics; Symmetry (geometry); Identical particles; Mathematical physics; Theoretical physics; Quantum mechanics; Statistical physics; Mathematics; Geometry","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":[0.0007883771,0.0004591702,0.0004702664,0.001810515,0.0008165615,0.001196702,0.001395033,0.0008655945,0.004211708],"category_scores_gemma":[0.00314114,0.0002099792,0.000597697,0.0008974356,0.001595772,0.003057495,0.001016058,0.001108372,0.0007430026],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001090166,"about_ca_system_score_gemma":0.0007129755,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001748868,"about_ca_topic_score_gemma":0.001450679,"domain_scores_codex":[0.9997277,0.00004213248,0.00001922593,0.00002026515,0.0001503561,0.00004035406],"domain_scores_gemma":[0.9993306,0.000181739,0.0001028357,0.000117909,0.0001964911,0.00007053304],"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":[0.000003529937,0.00001447993,0.0001270809,0.0000151899,0.000003281407,0.00009999809,0.000100431,0.004723389,0.0006061302,0.9901149,0.0004506925,0.003740877],"study_design_scores_gemma":[0.000007246379,0.000007980266,0.0001150244,0.00001101063,0.000003002886,0.00009989637,0.00002776663,0.125242,0.0004169319,0.8728063,0.001252973,0.000009836549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3335857,0.001966206,0.5377429,0.002384702,0.000498176,0.0001465718,0.0002025425,0.0004197067,0.1230534],"genre_scores_gemma":[0.9027916,0.001169898,0.0786746,0.000351302,0.0002419375,0.0001322748,0.0001126533,0.0001665193,0.0163593],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004211708,"threshold_uncertainty_score":0.01408952,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01328449776253944,"score_gpt":0.3305828884902399,"score_spread":0.3172983907277004,"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."}}