{"id":"W2002797098","doi":"10.2478/s11534-013-0179-3","title":"Exact and approximate solutions to Schrödinger’s equation with decatic potentials","year":2013,"lang":"en","type":"article","venue":"Open Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Eigenfunction; Mathematics; Eigenvalues and eigenvectors; Polynomial; Schrödinger equation; Mathematical analysis; Energy (signal processing); Matrix polynomial; Recurrence relation; Differential equation; Applied mathematics; Physics; Quantum mechanics","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":[0.000537039,0.0003443757,0.0004436132,0.0006468854,0.0005550653,0.0009506544,0.0006509623,0.0009211277,0.003718588],"category_scores_gemma":[0.003139887,0.0002445077,0.0003147697,0.0004618721,0.001352772,0.001502858,0.0008217937,0.0006221173,0.0002783983],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005302858,"about_ca_system_score_gemma":0.000613647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001105255,"about_ca_topic_score_gemma":0.0008142596,"domain_scores_codex":[0.9997062,0.0000832912,0.00001654972,0.00002672209,0.0001110296,0.00005607698],"domain_scores_gemma":[0.9993935,0.0002495465,0.0001069498,0.00007181628,0.0001196514,0.00005853442],"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":[0.00006515862,0.00005409619,0.0006923086,0.00006432824,0.000009764201,0.000386531,0.0002219469,0.06381257,0.006634723,0.9223511,0.0004828401,0.005224696],"study_design_scores_gemma":[0.00003481357,0.00005194295,0.000522017,0.00001319533,0.000004534017,0.0002795278,0.0002019844,0.7083421,0.003005975,0.2866891,0.0008270063,0.00002783304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8176914,0.0002179304,0.1520593,0.0006592814,0.00005307165,0.00005648985,0.00009463627,0.0001076817,0.02906024],"genre_scores_gemma":[0.9875044,0.00006045519,0.008524481,0.00002996036,0.000015135,0.00001578284,0.0000371989,0.00001534753,0.003797178],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003718588,"threshold_uncertainty_score":0.01243991,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03402986018937889,"score_gpt":0.2691072146671478,"score_spread":0.2350773544777689,"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."}}