Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations

被引：14

作者：

Karassiov, VP

Gusev, AA

Vinitsky, SI ^{[1
]}

机构：

[1] Joint Inst Nucl Res Dubna, Dubna, Moscow Region, Russia

[2] PN Lebedev Phys Inst, Moscow 117924, Russia

来源：

PHYSICS LETTERS A | 2002年 / 295卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

second-harmonic generation model; polynomial Lie algebra methods;

D O I：

10.1016/S0375-9601(02)00178-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compare exact and SU(2)-cluster approximate calculation schemes to determine dynamics of the second-harmonic generation model using its reformulation in terms of a polynomial Lie algebra su(pd)(2) and related spectral representations of the model evolution operator realized in algorithmic forms. It enabled us to implement computer experiments exhibiting a satisfactory accuracy of the cluster approximations in a large range of characteristic model parameters. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：247 / 255

页数：9

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