SHIFTED-UPDATE ROTATION - SIMPLE INTEGRATION OF THE MANY-LEVEL SCHRODINGER-EQUATION TO LONG TIMES

被引:30
作者
BIGWOOD, R [1 ]
GRUEBELE, M [1 ]
机构
[1] UNIV ILLINOIS,BECKMAN INST ADV SCI & TECHNOL,URBANA,IL 61801
关键词
D O I
10.1016/0009-2614(94)01474-A
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
Shifted-update direct propagation algorithms are used to calculate the survival probabilities and spectra of a matrix-sealing model for vibrational energy redistribution with 70 000 active states and nine degrees of freedom. A stabilized first-order method, shifted-update rotation has a simple geometrical interpretation, yet requires no storage overhead. Of the higher-order methods, only a third-order method executes faster in many cases, at the cost of stability and memory overhead. We compare shifted-update methods to others applicable to sparse systems.
引用
收藏
页码:383 / 391
页数:9
相关论文
共 27 条
[1]   EXPLICIT INTEGRATION METHOD FOR TIME-DEPENDENT SCHRODINGER EQUATION FOR COLLISION PROBLEMS [J].
ASKAR, A ;
CAKMAK, AS .
JOURNAL OF CHEMICAL PHYSICS, 1978, 68 (06) :2794-2798
[2]  
BIGWOOD R, UNPUB
[3]  
BIXON M, 1967, J CHEM PHYS, V48, P715
[4]   TIME-DEPENDENT QUANTUM-MECHANICS USING PICOSECOND TIME STEPS - APPLICATION TO PREDISSOCIATION OF HEL2 [J].
DAS, S ;
TANNOR, DJ .
JOURNAL OF CHEMICAL PHYSICS, 1990, 92 (06) :3403-3409
[5]   SOLUTION OF THE SCHRODINGER-EQUATION BY A SPECTRAL METHOD [J].
FEIT, MD ;
FLECK, JA ;
STEIGER, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1982, 47 (03) :412-433
[6]   CLASSICAL HAMILTONIAN STRUCTURES IN WAVE-PACKET DYNAMICS [J].
GRAY, SK ;
VEROSKY, JM .
JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (07) :5011-5022
[7]  
Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2
[8]  
HART JF, 1968, COMPUTER APPROXIMATI
[9]  
Iung C, 1993, J CHEM PHYS, V99, P2261, DOI [10.1063/1.465236, DOI 10.1063/1.465236]
[10]  
IUNG C, 1993, J CHEM PHYS, V98, P6722