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 共查询到19条相似文献,搜索用时 78 毫秒
1.
相空间中变质量力学系统的Hojman守恒量   总被引:1,自引:0,他引:1       下载免费PDF全文
方建会  张鹏玉 《物理学报》2004,53(12):4041-4044
研究一般的无限小变换下相空间中变质量力学系统Lie对称性的Hojman守恒量. 给出了相空 间中变质量力学系统Lie 对称性的确定方程和Hojman守恒量定理,并举例说明结果的应用. 关键词: 相空间 变质量系统 一般的无限小变换 Lie对称性 Hojman守恒量  相似文献   

2.
乔永芬  赵淑红  李仁杰 《物理学报》2004,53(7):2035-2039
利用时间不变的无限小变换下的Lie对称性,研究准坐标下完整力学系统的一类新守恒量.建立系统的运动微分方程,给出无限小变换下的Lie对称性确定方程.将Hojman定理推广,并举例说明结果的应用. 关键词: 准坐标 完整力学系统 Lie对称性 非Noether守恒量 Hojman定理  相似文献   

3.
变质量完整力学系统的非Noether守恒量   总被引:9,自引:2,他引:7       下载免费PDF全文
许志新 《物理学报》2002,51(11):2423-2425
利用时间不变的无限小变换下的Lie对称性,研究变质量完整力学系统的一类新的守恒量.给出系统的运动微分方程,研究时间不变的无限小变换下的Lie对称性确定方程,将Hojman定理推广并应用于这类系统 关键词: 变质量系统 完整约束 确定方程 非Noether守恒量  相似文献   

4.
贾利群  孙现亭  张美玲  张耀宇  韩月林 《物理学报》2014,63(1):10201-010201
研究相对运动变质量完整系统Appell方程的广义Lie对称性及其直接导致的广义Hojman守恒量.在群的无限小变换下,给出相对运动变质量完整系统Appell方程广义Lie对称性的确定方程;得到相对运动变质量完整系统Appell方程广义Lie对称性直接导致的广义Hojman守恒量的表达式.最后,利用本文结果研究相对运动变质量完整约束的三自由度力学系统问题.  相似文献   

5.
研究广义线性非完整力学系统的Lie对称性导致的Hojman守恒量,在时间不变的特殊Lie对称变换下,给出系统的Lie对称性确定方程、约束限制方程和附加限制方程,得到相应完整系统的Hojman守恒量以及广义线性非完整力学系统的弱Hojman守恒量和强Hojman守恒量,并举一算例说明结果的应用.  相似文献   

6.
研究广义非完整力学系统的Lie对称性与Noether守恒量,建立Lie对称性的确定方程、限制方程和附加限制方程,给出结构方程和Noether守恒量的形式,研究Lie对称性的逆问题,并举算例说明结果的应用.  相似文献   

7.
徐瑞莉  方建会  张斌 《物理学报》2013,62(15):154501-154501
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   

8.
解银丽  贾利群  杨新芳 《物理学报》2011,60(3):30201-030201
研究相对运动动力学系统Nielsen方程的Lie对称性和Lie对称性直接导致的Hojman守恒量.在群的无限小变换下,给出相对运动动力学系统Nielsen方程Lie对称性的定义和判据;得到相对运动动力学系统Nielsen方程Lie对称性的确定方程以及Lie对称性直接导致的Hojman守恒量的表达式.举例说明结果的应用. 关键词: 相对运动动力学 Nielsen方程 Lie对称性 Hojman守恒量  相似文献   

9.
利用时间不变的无限小变换下的Lie对称性,研究广义经典力学中Raitzin正则方程的Hojman 守恒定理。建立广义Raitzin正则方程。给出无限小变换下Lie对称性的确定方程。建立系统的Hojman守恒定理,并举例说明结果的应用。  相似文献   

10.
一类非完整奇异系统的Lie对称性与守恒量   总被引:5,自引:0,他引:5       下载免费PDF全文
李元成  张毅  梁景辉 《物理学报》2002,51(10):2186-2190
利用微分方程在无限小变换群下的不变性,研究一类非完整奇异系统的Lie对称性.给出Lie对称性的确定方程、限制方程、附加限制方程和结构方程,并给出守恒量的形式 关键词: 奇异系统 非完整约束 Lie对称性 守恒量  相似文献   

11.
In this paper the generalized conformal symmetries and conserved quantities by Lie point transformations of Hamilton systems are studied. The necessary and sufficient conditions of conformal symmetry by the action of infinitesimal Lie point transformations which are simultaneous Lie symmetry are given. This kind type determining equations of conformal symmetry of mechanical systems are studied. The Hojman conserved quantities of the Hamilton systems under infinitesimal special transformations are obtained. The relations between conformal symmetries and the Lie symmetries are derived for Hamilton systems. Finally, as application of the conformal symmetries, an illustration example is introduced.  相似文献   

12.
张毅  尚玫  梅凤翔 《中国物理》2000,9(6):401-407
In this paper, the symmetries and the conserved quantities for systems of generalized classical mechanics are studied. First, the generalized Noether's theorem and the generalized Noether's inverse theorem of the systems are given, which are based upon the invariant properties of the canonical action with respect to the action of the infinitesimal transformation of r-parameter finite group of transformation; second, the Lie symmetries and conserved quantities of the systems are studied in accordance with the Lie's theory of the invariance of differential equations under the transformation of infinitesimal groups; and finally, the inner connection between the two kinds of symmetries of systems is discussed.  相似文献   

13.
相对论性Birkhoff系统的Lie对称性和守恒量   总被引:13,自引:0,他引:13       下载免费PDF全文
傅景礼  王新民 《物理学报》2000,49(6):1023-1027
给出相对论性Birkhoff系统的Pfaff-Birkhoff原理和Birkhoff方程.由微分方程在无限小变换下的不变性,定义相对论性Birkhoff系统无限小变换生成元,建立Lie对称的确定方程,得到结构方程和守恒量.并研究该系统的Lie对称性逆问题.给出实例以说明结果的应用. 关键词:  相似文献   

14.
罗一平  傅景礼 《中国物理 B》2010,19(9):90303-090303
We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation vector of generators for holonomic systems with quasi-coordinates are described in detail. The conformal factor in the determining equations of the Lie symmetry is found. The necessary and sufficient conditions of conformal invariance, which are simultaneously of Lie symmetry, are given. The conformal invariance may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Finally, an illustration example is introduced to demonstrate the application of the result.  相似文献   

15.
罗一平  傅景礼 《中国物理 B》2010,19(9):90304-090304
In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system’s conformal invariance and Mei symmetry are discussed. And Appell system’s conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.  相似文献   

16.
傅景礼  陈立群  谢凤萍 《中国物理》2004,13(10):1611-1614
This paper focuses on studying Lie symmetries and non-Noether conserved quantities of Hamiltonian dynamical systems in phase space. Based on the infinitesimal transformations with respect to the generalized coordinates and generalized momenta, we obtain the determining equations and structure equation of the Lie symmetry for Hamiltonian dynamical systems. This work extends the research of non-Noether conserved quantity for Hamilton canonical equations, and leads directly to a new type of non-Noether conserved quantities of the systems. Finally, an example is given to illustrate these results.  相似文献   

17.
赵丽  傅景礼  陈本永 《中国物理 B》2010,19(1):10301-010301
The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation of concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentration under the infinitesimal transformation with respect to the generalized coordinates and time, the determining equations of Lie symmetries are presented. The Lie groups of transformation and infinitesimal generators of this equation are obtained. The conserved quantities associated with the nonlinear diffusion equation of concentration are derived by integrating the characteristic equations. Also, the solutions of the two-dimensional nonlinear diffusion equation of concentration can be obtained.  相似文献   

18.
For the rotational relativistic Hamiltonian system, a new type of the Lie symmetries and conserved quantitiesare given. On the basis of the theory of invariance of differential equations under infinitesimal transformations, andintroducing infinitesimal transformations for generalized coordinates qs and generalized momentums ps, the determiningequations of Lie symmetrical transformations of the system are constructed, which only depend on the canonical variables.A set of non-Noether conserved quantities are directly obtained from the Lie symmetries of the system. An example isgiven to illustrate the application of the results.  相似文献   

19.
转动相对论系统的Appell方程及其形式不变性   总被引:16,自引:1,他引:15       下载免费PDF全文
罗绍凯 《物理学报》2002,51(4):712-717
给出转动相对论系统的Appell方程,讨论相对论力学的四个新型基本动力学函数 在无限小群变换下研究转动相对论系统Appell方程的形式不变性,给出定义和判据 研究形式不变性与Noether对称性与Lie对称性的关系,寻求转动相对论系统的守恒量 关键词: 转动相对论 Appell方程 形式不变性 对称性与守恒量  相似文献   

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