{"id":"W2326395079","doi":"10.1139/p2012-046","title":"Analytic energies and wave functions of the two-dimensional Schrödinger equation: ground state of two-dimensional quartic potential and classification of solutions","year":2012,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Quartic function; Physics; Schrödinger equation; Ground state; Wave function; Polynomial; Order (exchange); Mathematical physics; Mathematical analysis; Quantum mechanics; Pure mathematics; Mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.0005188942,0.00068429,0.0004349146,0.001834645,0.0008203044,0.001965162,0.001258647,0.001604693,0.002402536],"category_scores_gemma":[0.00166428,0.0003439724,0.0005908641,0.001162053,0.001696993,0.00192283,0.0008724598,0.00102657,0.0004688207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006257119,"about_ca_system_score_gemma":0.0006350796,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005890226,"about_ca_topic_score_gemma":0.0005585694,"domain_scores_codex":[0.9997944,0.00005124378,0.00001719397,0.00002415251,0.00006921067,0.0000437458],"domain_scores_gemma":[0.9996276,0.0001039301,0.00009516731,0.00004179046,0.00008702473,0.00004450837],"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":[0.00004538128,0.00005099717,0.0009164268,0.0001712727,0.00001929794,0.0004360949,0.0003931385,0.01861195,0.007151839,0.9622458,0.001203057,0.008754632],"study_design_scores_gemma":[0.00003149945,0.00002633695,0.0006705638,0.00005077646,0.000008632372,0.0005725218,0.0003787559,0.1729134,0.001879659,0.8219432,0.001476301,0.00004826528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7280266,0.002061857,0.2222442,0.001717608,0.0001960688,0.0000998168,0.0002889965,0.0001797709,0.04518509],"genre_scores_gemma":[0.9500345,0.001002508,0.03951602,0.0001156037,0.00008370769,0.00009726871,0.000286154,0.0000643597,0.008799845],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002402536,"threshold_uncertainty_score":0.008037329,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03196904775461792,"score_gpt":0.2367566013331756,"score_spread":0.2047875535785577,"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."}}