Please wait a minute...
Chinese Physics, 2004, Vol. 13(3): 292-296    DOI: 10.1088/1009-1963/13/3/005
GENERAL Prev   Next  

Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems

Qiao Yong-Fen (乔永芬), Zhao Shu-Hong (赵淑红), Li Ren-Jie (李仁杰)
Engineering College of Northeast Agricultural University, Harbin 150030, China
Abstract  In this paper, the definition and criterion of the form invariance of Nielsen equations for relativistic variable mass nonholonomic systems are given. The relation between the form invariance and the Noether symmetry is studied. Finally, we give an example to illustrate the application of the result.
Keywords:  nonholonomic system      relativity      variable mass      Nielsen equation      form invariance      Noether symmetry  
Received:  29 September 2002      Revised:  04 August 2003      Accepted manuscript online: 
PACS:  03.30.+p (Special relativity)  

Cite this article: 

Qiao Yong-Fen (乔永芬), Zhao Shu-Hong (赵淑红), Li Ren-Jie (李仁杰) Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems 2004 Chinese Physics 13 292

[1] Quasi-canonicalization for linear homogeneous nonholonomic systems
Yong Wang(王勇), Jin-Chao Cui(崔金超), Ju Chen(陈菊), Yong-Xin Guo(郭永新). Chin. Phys. B, 2020, 29(6): 064501.
[2] Gravitation induced shrinkage of Mercury’s orbit
Moxian Qian(钱莫闲), Xibin Li(李喜彬), and Yongjun Cao(曹永军)†. Chin. Phys. B, 2020, 29(10): 109501.
[3] Generalized Chaplygin equations for nonholonomic systems on time scales
Shi-Xin Jin(金世欣), Yi Zhang(张毅). Chin. Phys. B, 2018, 27(2): 020502.
[4] Noether symmetry and conserved quantity for dynamical system with non-standard Lagrangians on time scales
Jing Song(宋静), Yi Zhang(张毅). Chin. Phys. B, 2017, 26(8): 084501.
[5] Generalized Birkhoffian representation of nonholonomic systems and its discrete variational algorithm
Shixing Liu(刘世兴), Chang Liu(刘畅), Wei Hua(花巍), Yongxin Guo(郭永新). Chin. Phys. B, 2016, 25(11): 114501.
[6] The mass limit of white dwarfs with strong magnetic fields in general relativity
Wen De-Hua (文德华), Liu He-Lei (刘荷蕾), Zhang Xiang-Dong (张向东). Chin. Phys. B, 2014, 23(8): 089501.
[7] Noether symmetry and conserved quantity for a Hamilton system with time delay
Jin Shi-Xin (金世欣), Zhang Yi (张毅). Chin. Phys. B, 2014, 23(5): 054501.
[8] Lie symmetry theorem of fractional nonholonomic systems
Sun Yi (孙毅), Chen Ben-Yong (陈本永), Fu Jing-Li (傅景礼). Chin. Phys. B, 2014, 23(11): 110201.
[9] Mei symmetry and conservation laws of discrete nonholonomic dynamical systems with regular and irregular lattices
Zhao Gang-Ling (赵纲领), Chen Li-Qun (陈立群), Fu Jing-Li (傅景礼), Hong Fang-Yu (洪方昱). Chin. Phys. B, 2013, 22(3): 030201.
[10] Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity
Gamal G. L. Nashed. Chin. Phys. B, 2013, 22(2): 020401.
[11] Noether symmetry and conserved quantities of the analytical dynamics of a Cosserat thin elastic rod
Wang Peng (王鹏), Xue Yun (薛纭), Liu Yu-Lu (刘宇陆). Chin. Phys. B, 2013, 22(10): 104503.
[12] A type of conserved quantity of Mei symmetry of Nielsen equations for a holonomic system
Cui Jin-Chao (崔金超), Han Yue-Lin (韩月林), Jia Li-Qun (贾利群 ). Chin. Phys. B, 2012, 21(8): 080201.
[13] Demonstrating additional law of relativistic velocities based on squeezed light
Yang Da-Bao(杨大宝), Li Yan(李艳), Zhang Fu-Lin(张福林), and Chen Jing-Ling(陈景灵) . Chin. Phys. B, 2012, 21(7): 074201.
[14] Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system
Jia Li-Qun(贾利群), Zhang Mei-Ling(张美玲), Wang Xiao-Xiao(王肖肖), and Han Yue-Lin(韩月林) . Chin. Phys. B, 2012, 21(7): 070204.
[15] Gravitational collapse with standard and dark energy in the teleparallel equivalent of general relativity
Gamal G. L. Nashed . Chin. Phys. B, 2012, 21(6): 060401.
No Suggested Reading articles found!