{"id":"W4220871129","doi":"10.1016/j.jde.2022.01.018","title":"Normalized solutions for Schrödinger system with quadratic and cubic interactions","year":2022,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Fundamental Research Funds for the Central Universities; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Bounded function; Ground state; Mathematics; Product (mathematics); Excited state; Quadratic equation; Energy (signal processing); SPHERES; Nonlinear system; Mathematical analysis; Upper and lower bounds; State (computer science); Physics; Quantum mechanics; Geometry","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":[0.001174689,0.001015251,0.001311597,0.002695765,0.00233494,0.003002962,0.002509508,0.003026512,0.01012708],"category_scores_gemma":[0.004351343,0.0007060062,0.001123371,0.001458451,0.003166622,0.004135085,0.002967427,0.00226442,0.0008164957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001634796,"about_ca_system_score_gemma":0.002311334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002422411,"about_ca_topic_score_gemma":0.002193571,"domain_scores_codex":[0.99932,0.0002215873,0.00004698373,0.0001033567,0.0001718295,0.0001363446],"domain_scores_gemma":[0.9985311,0.0003448454,0.0002517861,0.0001120107,0.0002933486,0.0004669786],"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":[0.00006598263,0.00005131289,0.000231632,0.00006238084,0.00002268854,0.0001561123,0.0001498794,0.006497804,0.001855171,0.9877077,0.001160537,0.002038719],"study_design_scores_gemma":[0.00007225546,0.00004719844,0.0005351322,0.00002815087,0.00001383223,0.000279515,0.0002560587,0.126006,0.0007060715,0.8705781,0.001407335,0.00007048346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6567548,0.001701114,0.2179483,0.005144329,0.001949796,0.0002241027,0.0005533365,0.0006266519,0.1150976],"genre_scores_gemma":[0.9056401,0.0007254484,0.04237011,0.001007333,0.0007574995,0.0002539768,0.0005633055,0.0003463927,0.04833594],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01012708,"threshold_uncertainty_score":0.03387845,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07000178646421322,"score_gpt":0.3256024107763018,"score_spread":0.2556006243120886,"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."}}