摘要
研究相对论性力学系统的Mei对称性和守恒律 .基于动力学函数在无限小变换下的不变性 ,建立了相对论性力学系统的Mei对称性的定义和判据 ;直接由相对论性力学系统的Mei对称性导出了一类新守恒律 ,给出了Mei对称性导致新守恒律的条件和新守恒律的形式 ,并举例说明结果的应用 .
This paper studies the Mei symmetry and conservation law of the relativistic mechanical system. The definition and criterion of Mei symmetry for the relativistic mechanical system are established, which are based upon the invariance of dynamical functions under infinitesimal transformations. A new conservation law is deduced directly from the Mei symmetry of the system, and the condition under which a Mei symmetry can lead to a new conservation law is obtained and the form of the conservation law is presented. An example is given to illustrate the application of the results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2005年第4期1464-1467,共4页
Acta Physica Sinica
基金
江苏省"青蓝"工程基金和江苏省高等学校自然科学基金 (批准号 :0 1KJD13 0 0 0 2
0 4KJA13 0 13 5 )资助的课题~~