{"id":"W4388115225","doi":"10.1016/s0034-4877(23)00069-1","title":"On the even-indexed eigenfunctions of the quantum harmonic oscillator","year":2023,"lang":"en","type":"article","venue":"Reports on Mathematical Physics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Eigenfunction; Hypergeometric function; Harmonic oscillator; Quantum harmonic oscillator; Quantum; Hypergeometric distribution; Elliptic integral; Pure mathematics; Harmonic number; Series (stratigraphy); Identity (music); Algebra over a field; Mathematical analysis; Riemann zeta function; Quantum mechanics; Eigenvalues and eigenvectors","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":[0.001454722,0.0008842773,0.0006767142,0.002130248,0.001542997,0.002512447,0.001108712,0.001049316,0.00677929],"category_scores_gemma":[0.002611815,0.000302896,0.0005456198,0.001700616,0.003394273,0.003463422,0.00156578,0.001761595,0.001111176],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009738536,"about_ca_system_score_gemma":0.001119151,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001295315,"about_ca_topic_score_gemma":0.0009150548,"domain_scores_codex":[0.9995085,0.0001287134,0.00002860855,0.00006815912,0.000167763,0.00009829075],"domain_scores_gemma":[0.9992064,0.0003030703,0.000110969,0.0001198371,0.0001361112,0.0001235523],"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":[0.00001461843,0.00001196637,0.00009505442,0.00002376109,0.000002950421,0.00006564001,0.0001411243,0.0005935861,0.001151318,0.9940135,0.0007044342,0.003182155],"study_design_scores_gemma":[0.000006663137,0.000007780819,0.0002474484,0.00001452872,0.000003421144,0.00006908552,0.00007026787,0.004325993,0.000323301,0.9932882,0.001628646,0.00001471126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5645162,0.005661535,0.1343343,0.006783858,0.003181787,0.00005744217,0.0003784671,0.0002158089,0.2848705],"genre_scores_gemma":[0.921073,0.006411195,0.0168945,0.001182163,0.002492841,0.00005202677,0.0002537499,0.0002361202,0.05140448],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00677929,"threshold_uncertainty_score":0.02267897,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08493785022920329,"score_gpt":0.3266374284019434,"score_spread":0.2416995781727401,"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."}}