半导体学报2009，Vol.30Issue(1)：012001-1-012001-6,2.DOI:10.1088/1674-4926/30/1/012001
Solution of the time-dependent Schr(o)dinger equation with absorbing boundary conditions
Solution of the time-dependent Schr(o)dinger equation with absorbing boundary conditions
摘要
Abstract
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 Schr(o)dinger 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 perfor-mances 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.关键词
finite difference time domain method/ absorbing boundary condition/ time-dependent Schrodinger equationKey words
finite difference time domain method/ absorbing boundary condition/ time-dependent Schrodinger equation分类
信息技术与安全科学引用本文复制引用
Chen Zhidong,Zhang Jinyu,Yu Zhiping..Solution of the time-dependent Schr(o)dinger equation with absorbing boundary conditions[J].半导体学报,2009,30(1):012001-1-012001-6,2.基金项目
Project supported by the State Key Development Program for Basic Research of China (No. 2006CB932404). （No. 2006CB932404）
