Routh Order Reduction Method of Relativistic Birkhoffian Systems

被引：0
|
作者：
LUO Shao-Kai Institute of Mathematical Mechanics and Mathematical Physics
机构：
来源：
Communications in Theoretical Physics | 2007年 / 47卷 / 02期
基金：
中国国家自然科学基金;
关键词：
relativity; Birkhoffian system; Lagrangian system; cyclic integral; order reduction method;
D O I：
暂无
中图分类号：
O412.1 [相对论];
学科分类号：
070201 ;
摘要：
Routh order reduction method of the relativistic Birkhoffian equations is studied.For a relativistic Birkhof-fian system,the cyclic integrals can be found by using the perfect differential method.Through these cyclic integrals,the order of the system can be reduced.If the relativistic Birkhoffian system has a cyclic integral,then the Birkhof-fian equations can be reduced at least by two degrees and the Birkhoffian form can be kept.The relations among therelativistic Birkhoffian mechanics,the relativistic Hamiltonian mechanics,and the relativistic Lagrangian mechanics arediscussed,and the Routh order reduction method of the relativistic Lagrangian system is obtained.And an example isgiven to illustrate the application of the result.
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页码：209 / 212
页数：4
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