Conformal invariance, Noether symmetry and Lie symmetry for systems with unilateral Chetaev non-holonomic constraints

被引：1
|
作者：
Chen Rong [1 ]
Xu Xue-Jun [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Peoples R China
来源：
ACTA PHYSICA SINICA | 2012年 / 61卷 / 14期
关键词：
unilateral Chetaev non-holonomic constraints; conformal invariance; conformal factor; conserved quantity; CONSERVED QUANTITIES; MECHANICAL SYSTEMS;
D O I：
10.7498/aps.61.141101
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The conformal invariance of a system with unilateral Chetaev non-holonomic is studied, and its definition is given. The relation between the conformal invariance and the Noether symmetry is discussed. Finally, the relation between the conformal invariance and the Lie symmetry is discussed, and the Hojman conserved quantity due to the conformal invariance of the systems is obtained. In the paper, an example is given to illustrate the application of the results.
引用
收藏
页数：6
相关论文
共 13 条
  • [1] Conformal invariance and conserved quantity of Lagrange systems under Lie point transformation
    Cai Jian-Le
    Mei Feng-Xiang
    [J]. ACTA PHYSICA SINICA, 2008, 57 (09) : 5369 - 5373
  • [2] Conformal invariance and conserved quantities of Mei symmetry for general holonomic systems
    Cai Jian-Le
    [J]. ACTA PHYSICA SINICA, 2009, 58 (01) : 22 - 27
  • [3] Conformal invariance and conserved quantity for holonomic mechanical systems with variable mass
    Chen Xiang-Wei
    Zhao Yong-Hong
    Liu Chang
    [J]. ACTA PHYSICA SINICA, 2009, 58 (08) : 5150 - 5154
  • [4] Galiullin A.S., 1997, ANAL DYNAMICS HELMHO
  • [5] Conformal invariance and conserved quantities of non-conservative Lagrange systems by point transformations
    Liu Chang
    Mei Feng-Xiang
    Guo Yong-Xin
    [J]. CHINESE PHYSICS B, 2009, 18 (02) : 395 - 399
  • [6] Conformal invariance and Hojman conserved quantities of canonical Hamilton systems
    College of Physics, Liaoning University, Shenyang 110036, China
    不详
    [J]. Chin. Phys., 2009, 3 (856-860): : 856 - 860
  • [7] Conformal invariance and Hojman conserved quantities for holonomic systems with quasi-coordinates
    Luo Yi-Ping
    Fu Jing-Li
    [J]. CHINESE PHYSICS B, 2010, 19 (09)
  • [8] Mei FX, 2004, Symmetries and Conserved Quantities of Constrained Mechanical Systems
  • [9] Conformal invariance and conserved quantities of a general holonomic system with variable mass
    Xia Li-Li
    Cai Jian-Le
    [J]. CHINESE PHYSICS B, 2010, 19 (04)
  • [10] Conformal invariance and conserved quantity of third-order Lagrange equations for non-conserved mechanical systems
    Zhang Ming-Jiang
    Fang Jian-Hui
    Lu Kai
    Zhang Ke-Jun
    Li Yan
    [J]. CHINESE PHYSICS B, 2009, 18 (11) : 4650 - 4656
12