{"id":"W4287188415","doi":"10.1016/j.jfa.2022.109702","title":"On the reduced Hartree-Fock equations with a small Anderson type background charge distribution","year":2022,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Spectroscopy and Quantum Chemical Studies","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Hartree–Fock method; Distribution (mathematics); Type (biology); Charge (physics); Mathematics; Mathematical physics; Anderson impurity model; Statistical physics; Quantum electrodynamics; Physics; Mathematical analysis; Quantum mechanics; Impurity","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002162104,0.00008910869,0.0001809982,0.00007009402,0.0005490066,0.00003114751,0.00008741046,0.000009203771,0.004525433],"category_scores_gemma":[0.00001553783,0.00005260095,0.0002389065,0.0008375899,0.00003076333,0.00005004814,0.00002503454,0.0002677231,0.000009286708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009446804,"about_ca_system_score_gemma":0.0000538073,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003919771,"about_ca_topic_score_gemma":0.000005202503,"domain_scores_codex":[0.9991796,0.00005809279,0.0002029304,0.0001032765,0.0003400382,0.0001160381],"domain_scores_gemma":[0.9992043,0.0002465339,0.0002585984,0.00008709849,0.0001619832,0.000041508],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.005603447,0.003794045,0.06300916,0.00001573792,0.03958262,0.00002267153,0.0007565253,0.1008404,0.04286589,0.634497,0.1073116,0.001701007],"study_design_scores_gemma":[0.01796713,0.01645956,0.3757062,0.0002277976,0.052701,0.0001269023,0.04676691,0.1105091,0.05966873,0.1726807,0.1423984,0.004787544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.951984,0.00006359669,0.0435451,0.003264016,0.000130192,0.00004809149,0.00008898161,0.000004826428,0.0008712374],"genre_scores_gemma":[0.9990464,0.000001961967,0.00003063262,0.00009987602,0.0002511596,0.000009608389,0.0001412447,0.000004238882,0.0004148152],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4618163,"threshold_uncertainty_score":0.9963846,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04087491148681406,"score_gpt":0.2450772383500334,"score_spread":0.2042023268632193,"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."}}