{"id":"W2029469217","doi":"10.1088/0305-4470/34/24/304","title":"Energy bounds for the spinless Salpeter equation: harmonic oscillator","year":2001,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and General","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Semiclassical physics; Harmonic oscillator; Hamiltonian (control theory); Eigenvalues and eigenvectors; Mathematical physics; Physics; Simple (philosophy); Simple harmonic motion; Quantum mechanics; Mathematics; Quantum; Mathematical optimization; Philosophy","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008017282,0.0002646947,0.0005838292,0.0000404435,0.0002061252,0.0001470106,0.0003631859,0.00008296399,0.00009494468],"category_scores_gemma":[0.0003226108,0.0001547592,0.0003817457,0.000191502,0.00021381,0.0002188677,0.00007829584,0.0002216066,0.000008623015],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004863747,"about_ca_system_score_gemma":0.00005665749,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000105809,"about_ca_topic_score_gemma":6.620779e-7,"domain_scores_codex":[0.9981154,0.00006981998,0.0007852493,0.0001744338,0.0005027227,0.0003523919],"domain_scores_gemma":[0.996739,0.002021513,0.0004747028,0.0003331198,0.0002685536,0.0001630609],"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":[0.00006396763,0.0002606572,0.000008940717,0.0001281473,0.000170598,0.00000575885,0.0002963187,0.00001709633,0.001209572,0.989827,0.00153964,0.006472327],"study_design_scores_gemma":[0.0006969863,0.0002218637,0.00001609324,0.00009407911,0.0002318831,0.000160044,0.0000781121,0.01764375,0.002311731,0.9764262,0.001917723,0.0002014806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2310166,0.0002523562,0.7656794,0.001522496,0.0002356409,0.0002419128,0.000006208027,0.00002597587,0.001019407],"genre_scores_gemma":[0.9114674,0.0001617625,0.08252229,0.0006319726,0.003638412,0.00005120989,0.000001588011,0.00009544881,0.001429946],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6831571,"threshold_uncertainty_score":0.6310897,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07706812821044697,"score_gpt":0.3262087391321681,"score_spread":0.2491406109217212,"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."}}