共查询到20条相似文献,搜索用时 289 毫秒
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在时间不变的特殊无限小变换下,研究相对论性变质量非完整可控力学系统的非Noether守恒量——Hojamn守恒量.建立了系统的运动微分方程, 给出了系统在特殊无限小变换下的形式不变性(Mei对称性)的定义和判据以及系统的形式不变性是Lie对称性的充分必要条件.得到了系统形式不变性导致非Noether守恒量的条件和具体形式.举例说明结果的应用.
关键词:
相对论
非完整可控力学系统
变质量
非Noether守恒量 相似文献
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研究相对论性转动变质量非完整可控力学系统的非Noether守恒量——Hojman守恒量. 建立了系统的运动微分方程, 给出了系统在特殊无限小变换下的Mei对称性(形式不变性) 和Lie对称性的定义和判据, 以及系统的Mei对称性是Lie对称性的充分必要条件. 得到了系统Mei对称性导致非Noether守恒量的条件和具体形式. 举例说明结果的应用.
关键词:
相对论性转动
可控力学系统
变质量
非Noether守恒量 相似文献
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基于奇异拉氏量系统Green函数的相空间生成泛函,导出了相空间中整体变换下的Ward恒等式和整体对称下的量子守恒律.一般它有别于经典Noether守恒律.用于杨-Mills理论,导出了BRS变换下的Ward-Takahashi恒等式和BRS守恒律;用于非Abel-Chern-Simons理论,导出了系统的量子角动量,它有别于经典角动量在于计及了鬼粒子对角动量的贡献. 相似文献
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研究质量变化对力学系统形式不变性和守恒量的影响.给出常质量系统和变质量系形式不变性的判据方程.比较两个判据方程得到质量变化时形式不变性仍保持的条件.给出两个系统有同样守恒量的条件.举例说明结果的应用.
关键词:
分析力学
变质量系统
形式不变性
守恒量 相似文献
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考虑非不变作用理系统在无限连续群下的变换性质,导致了广义Noether恒等式,由此可导出系统的强守恒律和弱守恒律,给出与此相联系的重质量杨-Mills场守恒的PBRS荷,它有别于守恒的BRS荷.讨论了变更性系统的Dirac约束. 相似文献
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本文研究离散差分序列变质量Hamilton系统的Lie对称性与Noether守恒量. 构建了离散差分序列变质量Hamilton系统的差分动力学方程, 给出了离散差分序列变质量Hamilton系统差分动力学方程在无限小变 换群下的Lie对称性的确定方程和定义, 得到了离散力学系统Lie对称性导致Noether守恒量的条件及形式, 举例说明结果的应用.
关键词:
离散力学
Hamilton系统
Lie对称性
Noether守恒量 相似文献
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Noether‘s theory of a rotational relativistic variable mass system is studied.Firstly,Jourdain‘s principle of the rotational relativistic variable mass system is given.Secondly,on the basis of the invariance of the Jourdain‘s principle under the infinitesimal transformations of groups,Noether‘s theorem and its inverse theorem of the rotational relativistic variable mass system are presented.Finally,an example is given to illustrate the application of the result. 相似文献
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The differential equations of motion of a relativistic variable mass system are given.By using the invariance of the differential equations under the infinitesimal transformations of groups,the determining equations and the restriction equations of the Lie symmetries of a relativistic variable mass system are built,and the structure equation and the conserved quantity of the Lie symmetries are obtained.Then the inverse problem of the Lie symmetries is studied.The corresponding Lie symmetries are found according to a known conserved quantity.An example is given to illustrate the application of the result. 相似文献
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将经典质量的变化和质量随速度变化这一相对论效应同时考虑,建立定轴转动变质量系统的相对论性基本动力学方程,达朗贝尔(d'Alembert)原理及Lagrange方程.
关键词: 相似文献
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FANGJian-Hui 《理论物理通讯》2003,40(3):269-272
The Mei symmetry and the Lie symmetry of a rotational relativistic variable mass system are studied. The definitions and criteria of the Mei symmetry and the Lie symmetry of the rotational relativistic variable mass system are given. The relation between the Mei symmetry and the Lie symmetry is found. The conserved quantities which the Mei symmetry and the Lie symmetry lead to are obtained. An example is given to illustrate the application of the result. 相似文献
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利用d’AlembertLagrange原理的Chaplygin形式在无限小变换下的变形形式得到Chaplygin系统的广义Noether等式和守恒量的形式.研究Chaplygin系统的形式不变性以及它与Noether对称性的关系.
关键词:
Chaplygin系统
Noether对称性
形式不变性
守恒量 相似文献
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FANG Jian-Hui 《理论物理通讯》2004,41(3):349-352
The definition and criterion of the Mei symmetry of
a relativistic variable mass system are given. The relation between
the Mei symmetry and the Noether symmetry of the system is found
under infinitesimal transformations of groups. The conserved
quantities to which the Mei symmetry and Noether symmetry of
the system lead are obtained. An example is given to illustrate
the application of the result. 相似文献
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Using form invariance under special infinitesimal transformations
in which time is not variable, the non-Noether conserved quantity
of the relativistic nonholonomic system with variable mass is studied.
The differential equations of motion of the system are established.
The definition and criterion of the form invariance of
the system under infinitesimal transformations are studied.
The necessary and sufficient condition under which the form
invariance is a Lie symmetry is given. The condition under
which the form invariance can be led to a non-Noether conserved
quantity and the form of the conserved quantity are obtained.
Finally, an example is given to illustrate the application of the result. 相似文献
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The theory of symmetry for a rotational relativistic Birkhoff system is studied. In terms of the invariance of the rotational relativistic Pfaff-Birkhoff-D'Alembert principle under infinitesimal transformations, the Noether symmetries and conserved quantities of a rotational relativistic Birkhoff system are given. In terms of the invariance of rotational relativistic Birkhoff equations under infinitesimal transformations, the Lie symmetries and conserved quantities of the rotational relativistic Birkhoff system are given. 相似文献
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FANG Jian-Hui 《理论物理通讯》2003,40(9)
The Mei symmetry and the Lie symmetry of a rotational relativistic variable masssystem are studied. Thedefinitions and criteria of the Mei symmetry and the Lie symmetry of the rotational relativistic variable mass system aregiven. The relation between the Mei symmetry and the Lie symmetry is found. The conserved quantities which the Meisymmetry and the Lie symmetry lead to are obtained. An example is given to illustrate the application of the result. 相似文献