Efficient finite difference solutions to the time-dependent Schrodinger equation

被引：20

作者：

Nash, PL

Chen, LY

机构：

[1] Div. of Earth and Physical Sciences, University of Texas at San Antonio, San Antonio

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1997年 / 130卷 / 02期

关键词：

D O I：

10.1006/jcph.1996.5589

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The matrix elements of the exponential of a finite difference realization of the one-dimensional Laplacian are found exactly. This matrix is used to formulate an efficient algorithm for the numerical solution to the time-dependent quantum mechanical scattering of a single particle from a time-independent potential in one-space and one-time dimension. The method generalizes to higher spatial dimensions, as well as to multiparticle problems. (C) 1997 Academic Press.

引用

页码：266 / 268

页数：3

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