IMPROVED EXPONENTIAL SPLIT OPERATOR METHOD FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION

被引：160

作者：

BANDRAUK, AD ^{[1
]}

SHEN, H ^{[1
]}

机构：

[1] UNIV SHERBROOKE,FAC SCI,DEPT MATH INFORMAT,SHERBROOKE J1K 2R1,QUEBEC,CANADA

来源：

CHEMICAL PHYSICS LETTERS | 1991年 / 176卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0009-2614(91)90232-X

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A new method of splitting exponential operators is proposed in the exponential form of the operator solution of the time-dependent Schrodinger equation. The method is shown to be third-order accurate in the time increment. In particular the phase of the wavefunction is shown to be exceptionally accurate for time-dependent potentials. The new method is shown to be more efficient than the standard second-order evolution operator algorithms for both time-independent and time-dependent potentials.

引用

页码：428 / 432

页数：5

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