{"id":"W4388214066","doi":"10.1063/5.0179124","title":"WKB solutions of the Schrödinger equation with a quartic potential","year":2023,"lang":"en","type":"article","venue":"AIP Advances","topic":"Laser-Plasma Interactions and Diagnostics","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"China Scholarship Council; China Postdoctoral Science Foundation; Chinese Academy of Sciences; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"WKB approximation; Eigenfunction; Quartic function; Eigenvalues and eigenvectors; Schrödinger equation; Physics; Scattering; Solution of Schrödinger equation for a step potential; Mathematical analysis; Mathematical physics; Mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0000374459,0.00005015369,0.00005587276,0.00002725414,0.0001494045,0.00001653012,0.00006603327,0.000008371068,0.0002331477],"category_scores_gemma":[0.00001295007,0.00003148973,0.00004031245,0.0002439535,0.0000455868,0.0001718193,0.00002403689,0.0000508663,0.0001546335],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006413952,"about_ca_system_score_gemma":0.00002930012,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001104062,"about_ca_topic_score_gemma":0.00003277007,"domain_scores_codex":[0.9995967,0.00001435123,0.00009427864,0.00007971554,0.00009684679,0.0001180787],"domain_scores_gemma":[0.9996525,0.00009161481,0.00006815213,0.0001179368,0.00005228228,0.00001753492],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.0001332255,0.001307799,0.2880174,0.0001110327,0.0004009243,0.000006459691,0.00146231,0.3081054,0.01673832,0.3213525,0.01510306,0.04726155],"study_design_scores_gemma":[0.006031318,0.001720776,0.2565928,0.001420053,0.001000646,0.00001457579,0.01991441,0.1821507,0.1309632,0.2012135,0.1970354,0.001942654],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9434557,0.00002918979,0.04851649,0.0008849345,0.0006069689,0.0001816804,0.00005122985,0.00004872376,0.006225104],"genre_scores_gemma":[0.9991544,0.000004726601,0.0002313136,0.00001044074,0.00008479271,0.00002387636,0.00001111791,0.000005281398,0.0004740159],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1819324,"threshold_uncertainty_score":0.2552804,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0145715323929469,"score_gpt":0.254464959643971,"score_spread":0.2398934272510241,"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."}}