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
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