{"id":"W2092175131","doi":"10.1103/physrevlett.86.1574","title":"Simple Analytical Particle and Kinetic Energy Densities for a Dilute Fermionic Gas in a<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mi mathvariant=\"italic\">d</mml:mi></mml:math>-Dimensional Harmonic Trap","year":2001,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Cold Atom Physics and Bose-Einstein Condensates","field":"Physics and Astronomy","cited_by":86,"is_retracted":false,"has_abstract":true,"ca_institutions":"Institute for Microstructural Sciences","funders":"","keywords":"Kinetic energy; Physics; Harmonic oscillator; Fermion; Fermi gas; Simple (philosophy); Isotropy; Mathematical physics; Energy (signal processing); Particle density; Exact solutions in general relativity; Quantum mechanics; Electron; Plasma","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001657065,0.0002589277,0.0003166572,0.00002505166,0.0001673196,0.0001254032,0.000174625,0.0000367699,0.00001897428],"category_scores_gemma":[0.00002317194,0.0002582165,0.0003787792,0.0001964099,0.0001583993,0.0001935757,0.0001522765,0.0001885499,0.00006288619],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001196542,"about_ca_system_score_gemma":0.00007206031,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001842701,"about_ca_topic_score_gemma":0.00002592637,"domain_scores_codex":[0.9983576,0.00004923556,0.0003881779,0.000428612,0.0002860402,0.0004903399],"domain_scores_gemma":[0.9989794,0.0003392849,0.0001664474,0.0003310635,0.00002762662,0.0001561171],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004274625,0.0001842497,0.00007218052,0.0002096397,0.0001209511,0.00003657728,0.0000699525,0.0001391833,0.005030913,0.9914513,0.0001918321,0.002450435],"study_design_scores_gemma":[0.0005553387,0.0001324383,0.0004201978,0.0005275623,0.0002742162,0.00001728471,0.00003589535,0.9893566,0.00164844,0.003570785,0.003150939,0.0003102631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9968143,0.0007609632,0.0002594405,0.001896403,0.00006670943,0.00008349781,0.00003615061,0.00002694826,0.00005566031],"genre_scores_gemma":[0.9964006,0.0002638977,0.00009251596,0.002434013,0.000423397,0.0002185491,0.0001047464,0.00004743696,0.0000148323],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9892175,"threshold_uncertainty_score":0.999987,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01852887220361171,"score_gpt":0.2594928195586523,"score_spread":0.2409639473550406,"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."}}