{"id":"W4406159147","doi":"10.1139/cjp-2024-0238","title":"On the analytical solution of the Schrödinger equation in ellipsoidal coordinates with constant potential","year":2025,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"advanced mathematical theories","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Physics; Constant (computer programming); Ellipsoid; Classical mechanics; Schrödinger equation; Mathematical analysis; Mathematical physics; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004045163,0.00009040868,0.0002093184,0.00007637023,0.00009721233,0.00002177822,0.0002108418,0.00003771581,0.00002105067],"category_scores_gemma":[0.0009708962,0.000047547,0.00007950189,0.0003620669,0.000344219,0.00008095596,0.00001316553,0.0002756382,0.000001187697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001496723,"about_ca_system_score_gemma":0.0006196917,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005221266,"about_ca_topic_score_gemma":0.0006392435,"domain_scores_codex":[0.9991751,0.00008559441,0.0003163069,0.00006289107,0.0001928835,0.0001672214],"domain_scores_gemma":[0.9986336,0.0006777288,0.0002429822,0.0001791429,0.0002027573,0.00006379985],"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":[0.00002900036,0.00003496473,0.0001529551,0.00003336131,0.00003900558,0.000005743324,0.0002052034,0.001508841,0.0001840296,0.9970492,0.0003748796,0.0003828099],"study_design_scores_gemma":[0.0002767029,0.0000668623,0.00007833922,0.0005015557,0.00006043106,0.00000644999,0.0003705796,0.003983584,0.003073356,0.9915002,0.00002886647,0.00005307493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6669883,0.00007007754,0.3237959,0.003954175,0.0002724852,0.0003325103,0.00001401235,0.000005263777,0.004567259],"genre_scores_gemma":[0.9985213,0.000001176216,0.001268394,0.00007000495,0.00003932866,0.000001532049,1.853561e-7,0.000007948422,0.00009008432],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.331533,"threshold_uncertainty_score":0.193891,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03010306666559974,"score_gpt":0.2752123330860557,"score_spread":0.245109266420456,"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."}}