{"id":"W2105605992","doi":"10.1002/qua.10622","title":"Sufficient condition for monotonic electron density decay in many‐electron systems","year":2003,"lang":"en","type":"article","venue":"International Journal of Quantum Chemistry","topic":"Advanced Chemical Physics Studies","field":"Physics and Astronomy","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"University of North Carolina at Chapel Hill; Canada Research Chairs","keywords":"Monotonic function; Pauli exclusion principle; Electron; Electron density; Kinetic energy; Quantum; Ground state; Chemistry; Physics; Atomic physics; Quantum mechanics; Mathematics; Mathematical analysis","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":[0.003563741,0.0008238256,0.001322291,0.001310626,0.001664786,0.001667938,0.001563706,0.002474339,0.01042703],"category_scores_gemma":[0.02924245,0.00096758,0.0007748987,0.0004784518,0.002815796,0.004533641,0.002961067,0.003603218,0.002453799],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006828604,"about_ca_system_score_gemma":0.002002625,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000973259,"about_ca_topic_score_gemma":0.0006445413,"domain_scores_codex":[0.9974478,0.0004359794,0.000245306,0.0004536093,0.0007809076,0.000636421],"domain_scores_gemma":[0.9783689,0.01042032,0.002315158,0.001608557,0.005373108,0.001914096],"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":[0.0007500903,0.0005537054,0.009777179,0.000759473,0.00007067144,0.003753896,0.001214428,0.01612748,0.07612823,0.8660532,0.007858214,0.01695344],"study_design_scores_gemma":[0.0003748907,0.0005963312,0.007896836,0.0003541746,0.00004264977,0.007071755,0.0008933898,0.31771,0.06289279,0.5860928,0.01580316,0.0002712478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6603887,0.001860473,0.2557246,0.005462266,0.000688791,0.0005264246,0.001636568,0.002004519,0.07170762],"genre_scores_gemma":[0.9719236,0.0004449308,0.02018914,0.0008220905,0.0002319883,0.0003570898,0.0006821218,0.0003153432,0.005033745],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01042703,"threshold_uncertainty_score":0.03488189,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008530329417557507,"score_gpt":0.285889759751319,"score_spread":0.2773594303337615,"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."}}