{"id":"W2792162899","doi":"10.1139/cjp-2017-0166","title":"On the number of bound states of semirelativistic Hamiltonian with Dirac delta potentials in one dimension","year":2018,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Physics; Hamiltonian (control theory); Bound state; Dimension (graph theory); Mathematical physics; Upper and lower bounds; Dirac delta function; Dirac (video compression format); Quantum mechanics; Combinatorics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0005589374,0.0001554597,0.0004578115,0.00006853086,0.00007096996,0.00002170073,0.0002682423,0.00004726165,0.0001605513],"category_scores_gemma":[0.0004560034,0.0001025572,0.00009431755,0.0003219482,0.0005485054,0.0001179388,0.00001398297,0.000276488,0.000009650998],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001093716,"about_ca_system_score_gemma":0.0003565993,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004475646,"about_ca_topic_score_gemma":0.002028397,"domain_scores_codex":[0.9986165,0.0001333542,0.0005543687,0.00009769987,0.0003433974,0.0002547187],"domain_scores_gemma":[0.9973418,0.001166618,0.0006272977,0.000325848,0.000371601,0.0001669024],"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":[0.00006903365,0.0002153756,0.0008501808,0.0001040549,0.0001486134,0.00002126118,0.00279443,0.00009625516,0.00218737,0.9928869,0.0003684901,0.000258043],"study_design_scores_gemma":[0.0003392239,0.0002895976,0.0009395505,0.0008368522,0.00008880733,0.00001373442,0.0002211833,0.0002157212,0.01516381,0.9817693,0.00001028345,0.0001119607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9917101,0.00001326306,0.005155532,0.0001601313,0.00006336738,0.0001527078,0.00002690594,0.000002898274,0.002715102],"genre_scores_gemma":[0.997056,0.000001921071,0.002694078,0.00006200419,0.0001036114,0.000001167402,0.000001079375,0.00003195677,0.00004817368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01297644,"threshold_uncertainty_score":0.4182163,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03517962825657368,"score_gpt":0.2851523848589723,"score_spread":0.2499727566023986,"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."}}