EXPONENTIAL SPLIT OPERATOR METHODS FOR SOLVING COUPLED TIME-DEPENDENT SCHRODINGER-EQUATIONS

被引:302
作者
BANDRAUK, AD [1 ]
SHEN, H [1 ]
机构
[1] UNIV SHERBROOKE,DEPT MATH & INFORMAT,SHERBROOKE J1K 2R1,QUEBEC,CANADA
关键词
D O I
10.1063/1.465362
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
Coherent excitation of molecules with laser pulses are usually described by coupled time-dependent linear parabolic partial differential equations, i.e., Schrodinger equations. Numerical solutions of these equations based on splitting (factorization) of the exponential form of the evolution operator or time-dependent propagator are examined for accuracy of amplitude and phase as a function of various unitary splitting schemes.
引用
收藏
页码:1185 / 1193
页数:9
相关论文
共 34 条
[1]   PULSE-SHAPE EFFECTS AND LASER-INDUCED AVOIDED CROSSINGS IN PHOTODISSOCIATION [J].
AUBANEL, EE ;
BANDRAUK, AD ;
RANCOURT, P .
CHEMICAL PHYSICS LETTERS, 1992, 197 (4-5) :419-424
[2]   HIGHER-ORDER EXPONENTIAL SPLIT OPERATOR METHOD FOR SOLVING TIME-DEPENDENT SCHRODINGER-EQUATIONS [J].
BANDRAUK, AD ;
SHEN, H .
CANADIAN JOURNAL OF CHEMISTRY-REVUE CANADIENNE DE CHIMIE, 1992, 70 (02) :555-559
[3]   IMPROVED EXPONENTIAL SPLIT OPERATOR METHOD FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].
BANDRAUK, AD ;
SHEN, H .
CHEMICAL PHYSICS LETTERS, 1991, 176 (05) :428-432
[4]  
BANDRAUK AD, 1993, MOL LASER FIELDS
[5]  
BANDRAUK AD, IN PRESS INT REV PHY
[6]  
BANDRAUK AD, 1992, NATO ASI SERIES B, V287
[7]  
BANDRAUK AD, 1988, NATO ASI SERIES B, V171
[8]  
Burstein S. Z., 1970, J COMPUT PHYS, V5, P547, DOI [10.1016/0021-9991(70)90080-X, DOI 10.1016/0021-9991(70)90080-X]
[9]   CONTROL OF VIBRATIONAL-EXCITATION AND DISSOCIATION OF SMALL MOLECULES BY CHIRPED INTENSE INFRARED-LASER PULSES [J].
CHELKOWSKI, S ;
BANDRAUK, AD .
CHEMICAL PHYSICS LETTERS, 1991, 186 (2-3) :264-269
[10]   IONIZATION RATES OF H-2(+) IN AN INTENSE LASER FIELD BY NUMERICAL-INTEGRATION OF THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].
CHELKOWSKI, S ;
ZUO, T ;
BANDRAUK, AD .
PHYSICAL REVIEW A, 1992, 46 (09) :R5342-R5345