{"id":"W1989624808","doi":"10.1063/1.3697416","title":"Lieb-Thirring inequality for a model of particles with point interactions","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"National Science Foundation","keywords":"Bounded function; Fermion; Constant (computer programming); Point (geometry); Inequality; Scattering; Scattering theory; Energy (signal processing)","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":[0.001521299,0.0002428633,0.0008310712,0.00005543982,0.00006367193,0.00002545358,0.0002886956,0.00005890911,0.00004095665],"category_scores_gemma":[0.001445101,0.000164975,0.0003822582,0.0001816484,0.0001666578,0.000660293,0.00006117117,0.0003366793,0.00001067032],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008215982,"about_ca_system_score_gemma":0.00006284029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.767107e-7,"about_ca_topic_score_gemma":2.969372e-7,"domain_scores_codex":[0.9976692,0.00008754525,0.001173178,0.000111619,0.0005547781,0.0004036759],"domain_scores_gemma":[0.9948234,0.003033152,0.001088904,0.0003928578,0.0004350104,0.0002266606],"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":[0.0001699687,0.002151921,0.00004802919,0.000951475,0.0002163318,6.333466e-7,0.002646625,0.0004412821,0.009344756,0.9833483,0.0002183337,0.0004623907],"study_design_scores_gemma":[0.0006075951,0.0002160072,0.000009265317,0.0004300158,0.0003242323,0.00003526862,0.0004860565,0.01918798,0.03753023,0.940984,0.000007946332,0.0001813663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3543809,0.00001172023,0.6438416,0.0001287254,0.00004856212,0.0002408229,0.000009103826,0.00002201543,0.00131656],"genre_scores_gemma":[0.6921985,0.000001406305,0.3074086,0.00003216456,0.0002753098,0.00001402855,3.444723e-7,0.0000413324,0.00002839909],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3378175,"threshold_uncertainty_score":0.6727486,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1604967698844385,"score_gpt":0.3853617725404773,"score_spread":0.2248650026560388,"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."}}