{"id":"W2055821571","doi":"10.1063/1.2890383","title":"Hyperincursive discrete harmonic oscillator","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Trois-Rivières","funders":"","keywords":"Harmonic oscillator; Formalism (music); Simple harmonic motion; Equations of motion; Annihilation; Simplicity; Dynamical systems theory; Mathematics; Quantum; Classical mechanics; Quantum harmonic oscillator; Creation and annihilation operators; Physics; Applied mathematics; Quantum mechanics","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":[0.00009781394,0.0001086804,0.0002626407,0.00001902198,0.0001075357,0.00001694793,0.0001848471,0.0000198323,0.0002334091],"category_scores_gemma":[0.000009469155,0.0000817278,0.0002182561,0.0001076862,0.00005434659,0.0001205959,0.00003540444,0.00019458,0.0001387608],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001557572,"about_ca_system_score_gemma":0.00006848909,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.408333e-7,"about_ca_topic_score_gemma":9.315531e-9,"domain_scores_codex":[0.9991618,0.00001509382,0.0003467927,0.00008054732,0.0002427067,0.0001530225],"domain_scores_gemma":[0.9992207,0.00008217985,0.0002770315,0.0001673491,0.0001284232,0.0001242654],"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":[0.000006274238,0.0002638079,0.0001501728,0.00001158026,0.00007340352,0.000004800425,0.0002380947,0.00001571641,0.001879626,0.9943995,0.00176933,0.001187645],"study_design_scores_gemma":[0.0003130896,0.00006642572,0.00009632548,0.0000340079,0.00004441113,0.00003157865,0.0001318793,0.001565084,0.003925205,0.9914398,0.002233091,0.0001191497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5416363,0.00003045838,0.4536348,0.0003216815,0.00008985386,0.00009707972,0.00001451302,0.000008850061,0.004166463],"genre_scores_gemma":[0.9959317,0.00000658745,0.00332341,0.00003060557,0.0005764766,0.000004212516,0.000001353231,0.0000159281,0.0001097468],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4542953,"threshold_uncertainty_score":0.3332763,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02452717063179414,"score_gpt":0.2647302939418911,"score_spread":0.2402031233100969,"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."}}