2000/09/01 by Naoki Watanabe, Masaru Tsukada · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Gyrotron and Vacuum Electronics Research #Quantum and electron transport phenomena #physics.atm-clus #physics.chem-ph #physics.comp-ph
paper · pdf · doi:10.1143/jpsj.69.2962
published as Journal of Physical Society of Japan, Vol.69, No.9, 2962, (2000) · 7 pages, 30 eps figures
openalex publication_date 2000/09/01 · arxiv created 2000/11/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A fast and stable numerical method is formulated to compute the time evolution of a wave function in a magnetic field by solving the time-dependent Schroedinger equation. This computational method is based on the finite element method in real space to improved accuracy without any increase of computational cost. This method is also based on Suzuki's exponential product theory to afford an efficient way to manage the TD-Schroedinger equation with a vector potential. Applying this method to some simple electron dynamics, we have confirmed its efficiency and accuracy.