{"id":"W2963053150","doi":"10.1063/1.5007252","title":"Fifth-order superintegrable quantum systems separating in Cartesian coordinates: Doubly exotic potentials","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Cartesian coordinate system; Separable space; Superintegrable Hamiltonian system; Hamiltonian (control theory); Quantum; Mathematical physics; Elliptic coordinate system; Order (exchange); Mathematics; Hamiltonian system; Ordinary differential equation; Mathematical analysis; Physics; Differential equation; Pure mathematics; Spherical coordinate system; Quantum mechanics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004197259,0.0003826926,0.0007251301,0.0005190718,0.0009624669,0.001615399,0.0007862857,0.0008041507,0.001725377],"category_scores_gemma":[0.0008287881,0.0003013044,0.000548712,0.0003643938,0.002095416,0.002090392,0.001621703,0.0009509461,0.0001725367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004790259,"about_ca_system_score_gemma":0.0004926397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007318642,"about_ca_topic_score_gemma":0.0008259133,"domain_scores_codex":[0.999739,0.00005199845,0.00001589116,0.00003129026,0.00009024001,0.00007164529],"domain_scores_gemma":[0.999585,0.00006231627,0.00008121035,0.00009821384,0.00006334532,0.0001098462],"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":[0.00004744358,0.0000199237,0.0004660856,0.000033423,0.00001594913,0.0003798877,0.0002499082,0.007054579,0.005241591,0.985034,0.0001715374,0.001285546],"study_design_scores_gemma":[0.00008381526,0.0001370876,0.001713279,0.00002863602,0.0000273509,0.001159409,0.0005554819,0.2031717,0.003653395,0.7867832,0.002623227,0.00006340491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9390192,0.0002642029,0.04145741,0.0002574428,0.00004744492,0.00001707952,0.00003378515,0.00004929969,0.01885412],"genre_scores_gemma":[0.9922075,0.0001121041,0.005767006,0.00003890152,0.00002149828,0.00001422106,0.00003688999,0.00001361977,0.001788252],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001725377,"threshold_uncertainty_score":0.005771935,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02703171464605049,"score_gpt":0.2763504021048027,"score_spread":0.2493186874587522,"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."}}