A Note about Certain Arbitrariness in the Solution of the Homological Equation in Deprit's Method

被引：5

作者：

San-Juan, Juan Felix ^{[1
]}

Lopez, Rosario ^{[2
,3
]}

Perez, Ivan ^{[1
]}

San-Martin, Andmontserrat ^{[1
]}

机构：

[1] Univ La Rioja, Sci Comp Grp GRUCACI, Logrono 26004, Spain

[2] Ctr Biomed Res La Rioja CIBIR, Logrono 26006, Spain

[3] Sci Comp Grp GRUCACI, Logrono 26006, Spain

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

关键词：

Compendex;

D O I：

10.1155/2015/982857

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Deprit's method has been revisited in order to take advantage of certain arbitrariness arising when the inverse of the Lie operator is applied to obtain the generating function of the Lie transform. This arbitrariness is intrinsic to all perturbation techniques and can be used to demonstrate the equivalence among different perturbation methods, to remove terms from the generating function of the Lie transform, or to eliminate several angles simultaneously in the case of having a degenerate Hamiltonian.

引用

页数：10