Form invariance and noether symmetrical conserved quantity of relativistic Birkhoffian systems

被引：4
|
作者：
Luo Shao-kai
机构：
[1] Changsha University,Institute of Mathematical Mechanics and Mathematical Physics
[2] Human University,Department of Applied Physics
[3] Southern Yangtze University,Science College
来源：
Applied Mathematics and Mechanics | 2003年 / 24卷 / 4期
关键词：
relativity; Birkhoffian system; Pfaff-Birkhoff-D' Alembert principle; form invariance; Noether symmetry; conserved quantity; O316; O320; O230; 70H40; 70H33; 83A05;
D O I：
10.1007/BF02439627
中图分类号：
学科分类号：
摘要：
A form invariance of the relativistic Birkhoffian system is studied, and the conserved quantities of the system are obtained. Under the infinitesimal transformation of groups, the definition and criteria of the form invariance of the system were given. In view of the invariance of relativistic Pfaff-Birkhoff-D' Alembert principle under the infinitesimal transformation of groups, the theory of Noethe, symmetries of the relativistic Birkhoffian system were constructed. The relation between the form invariance and the Noether symmetry is studied, and the results show that the form invariance can also lead to the Noether symmetrical conserved quantity of the relativistic Birkhoffian system under certain conditions.
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页码：468 / 478
页数：10
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