@Article{NMTMA-16-701,
author = {Jiang , HaiyanGao , XingmingHu , Yueguang and Lu , Tiao},
title = {Green Function Method for Quantum Transport Based on the Generalized Fourier Transform},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2023},
volume = {16},
number = {3},
pages = {701--719},
abstract = {<p style="text-align: justify;">The rigorous relations between the propagators of transient Schrödinger
equations and stationary Green functions are established. Based on the generalized
Fourier transform, non-singular transparent boundary condition for transient problem is proposed in a representation of Green functions. The unified framework of
Green function method is presented for converting an open boundary problem into
a bounded boundary problem. Numerical scheme for time-dependent Schrödinger
equation with non-singular transparent boundary condition is designed to simulate
the propagations of a free Gaussian wave packet and the resonant tunnelling through
double barriers. Numerical results validate the effectiveness of non-singular transparent boundary condition.</p>},
issn = {2079-7338},
doi = {https://doi.org/ 10.4208/nmtma.OA-2022-0164},
url = {http://global-sci.org/intro/article_detail/nmtma/21963.html}
}