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.
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页码：266 / 268
页数：3
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