{"id":"W2323667034","doi":"10.1134/1.1485267","title":"Collapse in the nonlinear Schrödinger equation of critical dimension {σ=1, D=2}","year":2002,"lang":"en","type":"article","venue":"Journal of Experimental and Theoretical Physics Letters","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Adiabatic process; Dimension (graph theory); Nonlinear system; Physics; Schrödinger equation; Nonlinear Schrödinger equation; Adiabatic theorem; Mathematical analysis; Mathematics; Mathematical physics; Quantum mechanics; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005924979,0.0007935151,0.0006162238,0.001033524,0.001153642,0.001579113,0.0007293588,0.00102823,0.001260797],"category_scores_gemma":[0.003015318,0.0003803729,0.0006275059,0.0005489434,0.001863777,0.0007073316,0.001502623,0.0008803609,0.0001322615],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007668089,"about_ca_system_score_gemma":0.0006687351,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0034636,"about_ca_topic_score_gemma":0.001975388,"domain_scores_codex":[0.9998084,0.00006327379,0.00001043908,0.00001489172,0.00005259452,0.00005043236],"domain_scores_gemma":[0.9993019,0.0002420393,0.0001647352,0.00003715731,0.00009503184,0.000159113],"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":[0.000724223,0.0002298717,0.01024955,0.0003570735,0.0002723242,0.003372511,0.001701059,0.390648,0.0461558,0.5315373,0.002556399,0.01219596],"study_design_scores_gemma":[0.00007867347,0.00008953427,0.001758152,0.00002241578,0.00002021839,0.0002430215,0.0002336268,0.9219853,0.002330175,0.07282146,0.0003725361,0.00004488848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9727213,0.0002743648,0.01758351,0.000343476,0.00003040676,0.00005970957,0.00004701659,0.0001184924,0.008821839],"genre_scores_gemma":[0.9941157,0.0001624965,0.003633211,0.00005137747,0.00002500328,0.00004174044,0.00006834809,0.00002606518,0.001875999],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0034636,"threshold_uncertainty_score":0.006886899,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04060447216847473,"score_gpt":0.3170167347188003,"score_spread":0.2764122625503255,"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."}}