{"id":"W2074030282","doi":"10.1002/num.20334","title":"Mathematical modeling of boundary conditions for laser‐molecule time‐dependent Schrödinger equations and some aspects of their numerical computation—One‐dimensional case","year":2008,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Laser-Matter Interactions and Applications","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke; Montreal Clinical Research Institute; Ontario Tech University","funders":"","keywords":"Boundary value problem; Spurious relationship; Mathematics; Computation; Boundary (topology); Excited state; Wave function; Domain (mathematical analysis); Schrödinger equation; Mathematical analysis; Partial differential equation; Basis (linear algebra); Applied mathematics; Physics; Quantum mechanics; Geometry; Algorithm","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":[0.001128616,0.0006277813,0.0007624091,0.0008521058,0.0006931422,0.001852619,0.001184437,0.001820206,0.002464797],"category_scores_gemma":[0.002848333,0.0004248854,0.0006928008,0.0004411581,0.001777489,0.00159268,0.001075661,0.001239031,0.0004412332],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001138644,"about_ca_system_score_gemma":0.001049936,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002730985,"about_ca_topic_score_gemma":0.001087638,"domain_scores_codex":[0.9996645,0.0001468645,0.00001757134,0.00003818827,0.00009326013,0.00003957357],"domain_scores_gemma":[0.9991792,0.0004791131,0.0001051349,0.00005201936,0.000125135,0.00005928284],"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":[0.00004115854,0.00006125215,0.0005611489,0.00009591794,0.00001712294,0.0002915883,0.0001491667,0.4014759,0.00605771,0.5843151,0.0007168284,0.006217051],"study_design_scores_gemma":[0.00001298572,0.00001023176,0.00007556822,0.00001240825,0.000003120123,0.00003031084,0.00002431003,0.9584576,0.0007687183,0.03988975,0.0007033406,0.00001160686],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07725714,0.000888463,0.9020861,0.0008059742,0.0001658532,0.00008977938,0.0001166113,0.0001327181,0.0184574],"genre_scores_gemma":[0.8698069,0.0006922325,0.1166473,0.0001851033,0.0001076727,0.000373341,0.0001695098,0.0001079461,0.01190991],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002730985,"threshold_uncertainty_score":0.008261442,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06020551227760241,"score_gpt":0.369025659030452,"score_spread":0.3088201467528496,"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."}}