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

被引:161
作者
BANDRAUK, AD [1 ]
SHEN, H [1 ]
机构
[1] UNIV SHERBROOKE,FAC SCI,DEPT MATH INFORMAT,SHERBROOKE J1K 2R1,QUEBEC,CANADA
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
收藏
页码:428 / 432
页数:5
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