Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrodinger equation

被引：1
|
作者：
Vinitsky, SI [1 ]
Gerdt, VP
Gusev, AA
Kaschiev, MS
Rostovtsev, VA
Samoylov, VN
Tupikova, TV
Uwano, Y
机构：
[1] Joint Inst Nucl Res, Dubna 141980, Moscow, Russia
[2] Bulgarian Acad Sci, Inst Math & Informat, Sofia, Bulgaria
[3] Future Univ, Hakodate, Hokkaido 0418655, Japan
来源：
PROGRAMMING AND COMPUTER SOFTWARE | 2006年 / 32卷 / 02期
基金：
俄罗斯基础研究基金会; 日本学术振兴会;
关键词：
Operating System; Artificial Intelligence; Evolutionary Scheme; Gauge Transformation; Software Engineer;
D O I：
10.1134/S0361768806020083
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A symbolic algorithm for the decomposition of the unitary evolution operator is developed. This algorithm allows one to generate multilayer implicit schemes for solution of the time-dependent Schrodinger equation. Some additional gauge transformations are also implemented in the algorithm. This allows one to distinguish symmetric operators, which are required for constructing efficient evolutionary schemes. The efficiency of the generated schemes is demonstrated by integrable models.
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页码：103 / 113
页数：11
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