{"id":"W2963041959","doi":"","title":"The Dunkl-Coulomb problem in the plane","year":2016,"lang":"en","type":"article","venue":"","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":76,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Hamiltonian (control theory); Laguerre polynomials; Mathematical physics; Coulomb; Complex plane; Eigenfunction; Laplace operator; Eigenvalues and eigenvectors; Energy spectrum; Reflection (computer programming); Plane (geometry); Quantum mechanics; Pure mathematics; Mathematical analysis; Mathematics; Geometry","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":[0.0003058274,0.00009573995,0.00007769668,0.00001018583,0.0001295303,0.0000571177,0.0003049581,0.00001640343,0.0002304743],"category_scores_gemma":[0.000001698172,0.00003455703,0.00005376435,0.00008909672,0.0000301897,0.00006565933,0.00003704181,0.00008540142,0.0002596902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006870995,"about_ca_system_score_gemma":0.00002925731,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006400469,"about_ca_topic_score_gemma":0.00002385585,"domain_scores_codex":[0.9993031,0.00004959061,0.0001404496,0.0001303094,0.0001336956,0.0002428432],"domain_scores_gemma":[0.9993943,0.000231051,0.00004275437,0.0002882832,0.00001812017,0.00002547039],"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":[0.000005706,0.00004686724,0.001195094,0.000001107511,0.00001164019,8.989284e-7,0.00009609566,3.399259e-7,0.0007503279,0.9453136,0.006925812,0.04565251],"study_design_scores_gemma":[0.0007203466,0.00007035543,0.001590192,0.00003435625,0.000009994364,0.000001478015,0.0005827353,0.0001935224,0.004263802,0.8568239,0.1354845,0.0002247976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3770914,0.0001143957,0.01351893,0.02102412,0.0005291158,0.001133733,0.00007750458,0.0000725854,0.5864382],"genre_scores_gemma":[0.9965674,0.000007706582,0.00005019018,0.0001460255,0.0002100564,0.00004272696,0.000003123413,0.000009663705,0.002963141],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.619476,"threshold_uncertainty_score":0.3337879,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009254985707017035,"score_gpt":0.2285806393993035,"score_spread":0.2193256536922865,"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."}}