Solution of the time-dependent Schrdinger equation with absorbing boundary conditions

作     者：陈志东 张进宇 余志平 

作者机构：Institute of Microelectronics Tsinghua University 

出 版 物：《Journal of Semiconductors》 (半导体学报（英文版）)

年 卷 期：2009年第30卷第1期

页      面：1-6页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the State Key Development Program for Basic Research of China (No. 2006CB932404) 

主　　题：finite difference time domain method absorbing boundary condition time-dependent Schrodinger equation 

摘      要：The performances of absorbing boundary conditions （ABCs） in four widely used finite difference time domain （FDTD） methods, i.e. explicit, implicit, explicit staggered-time, and Chebyshev methods, for solving the time-dependent Schrodinger equation are assessed and compared. The computation efficiency for each approach is also evaluated. A typical evolution problem of a single Gaussian wave packet is chosen to demonstrate the performances of the four methods combined with ABCs. It is found that ABCs perfectly eliminate reflection in implicit and explicit staggered-time methods. However, small reflection still exists in explicit and Chebyshev methods even though ABCs are applied.