{"artifact_id":"L1-314","layer":"L1","title":"Quantum Scattering Theory","domain":"Quantum Mechanics","sub_domain":"S-matrix and phase shifts","physics_fingerprint":{"L_DAG":3.3,"title":"Quantum Scattering Theory","domain":"Quantum Mechanics","carrier":"electron","primitives":["E.lippmann_schwinger","E.eigensolve","O.cross_section"],"sub_domain":"S-matrix and phase shifts","noise_model":"poisson","problem_class":"nonlinear_inverse","solution_space":"phase_shifts_scattering_amplitude","difficulty_delta":5,"integration_axis":"angle_and_energy","sensing_mechanism":"cross_section_measurement"},"observable_profile":{"metric":"sigma_total_relative_error","regime":"Well-posed forward; inverse scattering (reconstructing V from f(E,theta)) is Borg-Marchenko-style; unique with phase info.","secondary":"phase_shift_error_deg"},"size_tiers":{"center_spec":{"omega":{"E_eV":10,"l_max":8,"N_grid":500,"V_well_eV":5,"target_type":"atomic"},"input_format":"measurement_only","problem_class":"quantum_scattering","forward_operator":"scattering_forward","epsilon_fn_center":"sigma error <= 0.03"},"omega_bounds":{"E_eV":[0.001,1000000.0],"l_max":[1,50],"N_grid":[100,10000],"V_well_eV":[0.1,1000]},"epsilon_bounds":{"sigma_total_relative_error":[0.005,0.5]},"allowed_problem_classes":["quantum_scattering"],"allowed_omega_dimensions":["E_eV","l_max","V_well_eV","N_grid","target_type"],"allowed_forward_operators":["scattering_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":400,"metric":"sigma_total_relative_error"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x5eeb1cfc8baec60d6b737b7493896a6f892bbf0c686bce3979281e612c6a5823","chain_tx_hash":"0x465854a0ec7d1dd8f0e40494d21f7caf07ba95d67b5ad6dd432bf33f4f0c6df4","chain_block":41554079}