{"id":"W2015134266","doi":"10.1088/0143-0807/33/6/1651","title":"The double-well potential in quantum mechanics: a simple, numerically exact formulation","year":2012,"lang":"en","type":"article","venue":"European Journal of Physics","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":96,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"WKB approximation; Double-well potential; Superposition principle; Simple (philosophy); Eigenvalues and eigenvectors; Quantum mechanics; Exact solutions in general relativity; Schrödinger equation; Physics; Excited state; Statistical mechanics; Mathematics; Classical mechanics; Statistical physics; Quantum tunnelling","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":[0.0007294827,0.0001240342,0.0001490088,0.00002853871,0.0001379531,0.0000701812,0.000283296,0.000009667408,0.0000439659],"category_scores_gemma":[0.000003114449,0.0000883738,0.0001569618,0.0001775109,0.00001057517,0.0002871413,0.00005668939,0.0002691965,0.00009232462],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002159504,"about_ca_system_score_gemma":0.00003155868,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007874092,"about_ca_topic_score_gemma":2.80204e-7,"domain_scores_codex":[0.9988452,0.0001260911,0.000450378,0.00008274514,0.0002089811,0.0002866136],"domain_scores_gemma":[0.9991046,0.00004720753,0.0004419305,0.0001950446,0.0001010584,0.00011015],"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":[0.00006960222,0.0003020269,0.0004696719,0.000003204269,0.00005545405,0.000003002833,0.0003641833,0.000904603,0.004300276,0.9635166,0.0006184717,0.02939291],"study_design_scores_gemma":[0.005313111,0.0004822236,0.01022503,0.0000839063,0.0001866011,0.00002079486,0.001592794,0.08327527,0.005038884,0.7983653,0.09462831,0.0007878057],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2799757,0.00007135181,0.7175379,0.0001983722,0.0003411064,0.0001452154,0.000005445491,0.00000883656,0.001716076],"genre_scores_gemma":[0.998373,0.00001263643,0.0001577094,0.00003067217,0.001370974,0.000002103518,0.000006424827,0.00003014837,0.00001635486],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7183973,"threshold_uncertainty_score":0.3603779,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01687633588205439,"score_gpt":0.2517930333102626,"score_spread":0.2349166974282083,"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."}}