{"id":"W2963633396","doi":"","title":"Pleijel's theorem for Schrödinger operators with radial potentials","year":2017,"lang":"en","type":"article","venue":"","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Eigenfunction; Eigenvalues and eigenvectors; Mathematics; Schrödinger's cat; Laplace operator; Operator (biology); Spectrum (functional analysis); Bound state; Upper and lower bounds; Mathematical analysis; Harmonic; Comparison theorem; Pure mathematics; Mathematical physics; Quantum mechanics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002168895,0.001106147,0.001019409,0.002438881,0.002075253,0.002637544,0.001388517,0.001646408,0.007442946],"category_scores_gemma":[0.004179965,0.000487703,0.001506345,0.001385403,0.00401993,0.007739412,0.003019188,0.004567503,0.001268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001269252,"about_ca_system_score_gemma":0.001028708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000995947,"about_ca_topic_score_gemma":0.0007147562,"domain_scores_codex":[0.999369,0.0001938343,0.00004342929,0.0001286936,0.0001702882,0.00009477601],"domain_scores_gemma":[0.9987557,0.0006261528,0.0001108767,0.0001323431,0.0002238027,0.0001511354],"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":[0.00001118329,0.00001219548,0.00005854541,0.00004085546,0.000005889359,0.00004436735,0.0001692722,0.0002720306,0.0003343647,0.9945948,0.001373483,0.003083093],"study_design_scores_gemma":[0.000008074478,0.00000513175,0.00008452153,0.000007306359,0.000003211245,0.00006121332,0.00002451445,0.001584845,0.0001106966,0.9960896,0.002013733,0.00000721209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1450006,0.00540415,0.5115173,0.01429998,0.002461727,0.0001155436,0.0008689915,0.0006271677,0.3197046],"genre_scores_gemma":[0.8235375,0.004580307,0.08514935,0.003553513,0.002095602,0.000294626,0.0005845741,0.0004137798,0.07979075],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007442946,"threshold_uncertainty_score":0.02489913,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05499525910594399,"score_gpt":0.3460881129514057,"score_spread":0.2910928538454617,"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."}}