{"id":"W1988395437","doi":"10.4153/cmb-2007-004-3","title":"A Singular Critical Potential for the Schrödinger Operator","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Operator (biology); Bounded function; Order (exchange); Infinity; Sequence (biology); Mathematical analysis; Smoothing; Polynomial; Amplitude; Mathematical physics; Pure mathematics; Combinatorics; Quantum mechanics; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003930799,0.0003632954,0.0003266674,0.001001331,0.0007140712,0.0009745195,0.0004076232,0.0004894006,0.00149833],"category_scores_gemma":[0.001781269,0.0002440559,0.0002651238,0.0002169673,0.001650327,0.000807355,0.001039701,0.0006300996,0.0001553663],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009130085,"about_ca_system_score_gemma":0.0005018985,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007601159,"about_ca_topic_score_gemma":0.0004233178,"domain_scores_codex":[0.9998754,0.00002918056,0.000006252391,0.00001908161,0.00004051853,0.00002962226],"domain_scores_gemma":[0.9994531,0.000178967,0.0001007532,0.00002960063,0.00008845716,0.0001491116],"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":[0.0002080492,0.00006762771,0.001886158,0.0001470847,0.00002713624,0.001435786,0.0004121704,0.03205016,0.05948942,0.8992698,0.0007626087,0.004244006],"study_design_scores_gemma":[0.00007256016,0.0002228248,0.002337659,0.0000735489,0.00002787661,0.001630435,0.0006589383,0.4679978,0.01726286,0.5068179,0.002837808,0.00005980498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.882583,0.0004522602,0.1010565,0.0008801704,0.00004848618,0.0000344775,0.00005405214,0.0001061941,0.0147848],"genre_scores_gemma":[0.9942766,0.00006834917,0.004122281,0.0000376364,0.0000158063,0.00001203704,0.00001822061,0.00001449516,0.001434692],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00149833,"threshold_uncertainty_score":0.006624401,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02931942185526236,"score_gpt":0.316346504656356,"score_spread":0.2870270828010936,"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."}}