{"id":"W2000083421","doi":"10.1103/physrevlett.94.216401","title":"Optical Sum Rules that Relate to the Potential Energy of Strongly Correlated Systems","year":2005,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Physics of Superconductivity and Magnetism","field":"Physics and Astronomy","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Sum rule in quantum mechanics; Physics; Brillouin zone; Polarization (electrochemistry); Scattering; Statistical physics; Brillouin scattering; Inelastic scattering; Moment (physics); Condensed matter physics; Quantum mechanics; Quantum chromodynamics; Chemistry","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":[0.0001425478,0.000228426,0.0004822236,0.0000253026,0.00008998268,0.00003781885,0.0003671383,0.0000135581,0.000068834],"category_scores_gemma":[0.000005992839,0.0001628084,0.0003035083,0.0001482501,0.0001143112,0.0005033927,0.0001204525,0.0002585489,0.0002194542],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002122109,"about_ca_system_score_gemma":0.00002282394,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002245846,"about_ca_topic_score_gemma":0.000001375646,"domain_scores_codex":[0.9986416,0.0001097524,0.0002774255,0.0002949717,0.0003270707,0.0003491904],"domain_scores_gemma":[0.9991858,0.00009734736,0.0001113174,0.000423933,0.00004385815,0.0001377149],"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":[0.00004808044,0.00122704,0.000207147,0.0005289339,0.0006260396,0.000007695048,0.0003857083,0.02140323,0.1061053,0.7353384,0.03760906,0.09651341],"study_design_scores_gemma":[0.005434456,0.001105345,0.006054283,0.0126967,0.00468797,0.00004012083,0.0008274174,0.06125193,0.02891451,0.02162082,0.8515443,0.005822199],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9287008,0.005931626,0.02922127,0.030987,0.0005300597,0.0007524647,0.0001056521,0.00006068959,0.003710434],"genre_scores_gemma":[0.9969724,0.0001779476,0.000109021,0.001665246,0.0008706434,0.00006645349,0.00003587574,0.00002351049,0.00007887174],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8139352,"threshold_uncertainty_score":0.6639132,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01279453849404903,"score_gpt":0.241298187739105,"score_spread":0.228503649245056,"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."}}