{"id":"W1989733000","doi":"10.1063/1.4811541","title":"Existence and concentration of semi-classical solutions for a nonlinear Maxwell-Dirac system","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Dirac (video compression format); Mathematical physics; Nonlinear system; Charge (physics); Field (mathematics); Electron; Energy (signal processing); Magnetic field; Quantum mechanics; Mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000406954,0.0001403881,0.0004999734,0.00003002042,0.00008735443,0.00004571077,0.0001431465,0.00008128265,0.00002539438],"category_scores_gemma":[0.0008354738,0.0001082945,0.0001947621,0.0001051047,0.0001454716,0.0002564603,0.00004564513,0.0001647139,0.00001250693],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005007754,"about_ca_system_score_gemma":0.00009786485,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001204463,"about_ca_topic_score_gemma":5.234958e-7,"domain_scores_codex":[0.9983132,0.0000701903,0.0009109858,0.0001059851,0.0003663962,0.0002331798],"domain_scores_gemma":[0.9972048,0.001175708,0.0006725081,0.0001800846,0.0006253392,0.0001415814],"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":[0.00002854209,0.0007023059,0.000009425445,0.001181866,0.0001125778,0.00000123089,0.0004955604,0.00001790835,0.01126864,0.98392,0.0009889306,0.001272953],"study_design_scores_gemma":[0.0009565846,0.0003083672,0.00003668116,0.0006186052,0.0003148197,0.00005074083,0.0005340426,0.1841912,0.006815829,0.8059136,0.00009464083,0.0001649002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2228774,0.00004472359,0.7749533,0.0004823593,0.0001256967,0.0006833556,0.0000473703,0.00002687353,0.0007589103],"genre_scores_gemma":[0.776179,0.000006773895,0.223141,0.00001776009,0.0004877344,0.00002539249,0.000007195837,0.00002913797,0.0001059937],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5533016,"threshold_uncertainty_score":0.4416121,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08043931792682085,"score_gpt":0.3222520121454236,"score_spread":0.2418126942186028,"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."}}