{"id":"W4402231499","doi":"10.1016/j.jde.2024.08.072","title":"Scattering and blow-up for threshold even solutions to the nonlinear Schrödinger equation with repulsive delta potential at low frequencies","year":2024,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; University of British Columbia","keywords":"Mathematics; Nonlinear system; Nonlinear Schrödinger equation; Schrödinger equation; Scattering; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000338486,0.0001826459,0.0002783512,0.0001549802,0.0004098768,0.0001932346,0.0001967974,0.00005722866,0.00005992946],"category_scores_gemma":[0.0005210252,0.0001158134,0.0001568614,0.0002107901,0.00009247607,0.000370791,0.0001227069,0.0002359447,0.000009749132],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001426881,"about_ca_system_score_gemma":0.0001008452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002905477,"about_ca_topic_score_gemma":0.00003921947,"domain_scores_codex":[0.9985021,0.00003339004,0.0005667498,0.0001958272,0.0004318037,0.0002700817],"domain_scores_gemma":[0.998234,0.0007843599,0.0002656319,0.0002302465,0.0003691964,0.0001165067],"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":[0.000335235,0.0006581597,0.00001697656,0.001279985,0.001181858,0.00002046361,0.00865569,0.0131549,0.2557638,0.7071854,0.004761905,0.006985684],"study_design_scores_gemma":[0.001010085,0.0005762181,0.00005029965,0.001182604,0.0009252114,0.0001056739,0.0004612245,0.2156946,0.005840796,0.7735547,0.0002301095,0.000368517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2424135,0.0001161833,0.7543851,0.002176729,0.0003245495,0.000476117,0.00005513946,0.00002957662,0.00002314537],"genre_scores_gemma":[0.9613155,0.00001198105,0.03771836,0.00004542434,0.0005087322,0.00006452413,0.00001374537,0.00004551334,0.0002762562],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.718902,"threshold_uncertainty_score":0.4722735,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05885364735333257,"score_gpt":0.3131359649548265,"score_spread":0.2542823176014939,"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."}}