2019/05/09 by Tadayoshi Adachi, Kyohei Itakura, Adachi, T. +5
Materials Science · Mathematics · #FOS: Physical sciences #Lanthanide and Transition Metal Complexes #Mathematical Physics (math-ph) #Random Matrices and Applications #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1905.03539
openalex publication_date 2019/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the stationary scattering theory for a perturbed 1-body Stark operator. We prove existence and completeness of the stationary wave operators, construct the associated generalized Fourier transforms, and characterize asymptotics of the generalized eigenfunctions of minimal growths in terms of the stationary scattering matrix.