On the stability of the FDTD method for solving a time-dependent Schrodinger equation

被引：27

作者：

Dai, WZ ^{[1
]}

Li, G ^{[1
]}

Nassar, R ^{[1
]}

Su, SJ ^{[1
]}

机构：

[1] Louisiana Tech Univ, Coll Engn & Sci, Ruston, LA 71272 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 21卷 / 06期

关键词：

finite difference time domain; stability; time-dependent Schrodinger equation;

D O I：

10.1002/num.20082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The finite difference time domain (FDTD) method is often employed in simulation of electromagnetic fields. The scheme is explicit and two-level in time. However, it is not clear what the time step, At, should be when the FDTD method is applied for solving a time-dependent Schrodinger equation. In this study, we analyze the stability of the FDTD scheme for solving the time-dependent Schrodinger equation. A condition for choosing the time step is obtained in order that the scheme is stable. A numerical example is illustrated. (c) 2005 Wiley Periodicals, Inc.

引用

页码：1140 / 1154

页数：15

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