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Abstract
In this paper,we study the form invariance and Noether symmetry of a relativistic mechanical system-Firstly,we give the Noether theorem of a relativistic mechanical system,and the definition and criterion and conserved quantity of the form invariance in the system-Next,the relation between the form invariance and Noether symmetry of the system is obtained-Finally,we give an example to illustrate the application of the result-

Keywords:
relativity/

mechanical system/

form invariance/

Noether symmetry
Authors and contacts
Fang Jian-Hui,

Yan Xiang-Hong,

Chen Pei-Sheng

1.
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Cited By

[1]	Sun Xian-Ting, Zhang Yao-Yu, Xue Xi-Chang, Jia Li-Qun.Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms. Acta Physica Sinica, 2015, 64(6): 064502.doi:10.7498/aps.64.064502
[2]	Wang Chuan-Dong, Liu Shi-Xing, Mei Feng-Xiang.Generalized Pfaff-Birkhoff-d’Alembert principle and form invariance of generalized Birkhoff’s equations. Acta Physica Sinica, 2010, 59(12): 8322-8325.doi:10.7498/aps.59.8322
[3]	Xia Li-Li, Li Yuan-Cheng.Non-Noether conserved quantity for relativistic nonholonomic controllable mechanical system with variable mass. Acta Physica Sinica, 2008, 57(8): 4652-4656.doi:10.7498/aps.57.4652
[4]	Fang Jian-Hui, Wang Peng, Ding Ning.Lie-Mei symmetry of mechanical system in phase space. Acta Physica Sinica, 2006, 55(8): 3821-3824.doi:10.7498/aps.55.3821
[5]	Qiao Yong-Fen, Zhao Shu-Hong.Form invariance and non-Noether conserved quantity of generalized Raitzin’s canonical equations of non-conservative system. Acta Physica Sinica, 2006, 55(2): 499-503.doi:10.7498/aps.55.499
[6]	Ge Wei-Kuan.Effects of mass variation on form invariance and conserved quantity of mechanical systems. Acta Physica Sinica, 2005, 54(6): 2478-2481.doi:10.7498/aps.54.2478
[7]	Lou Zhi-Mei.Form invariance for Hamiltonian Ermakov systems. Acta Physica Sinica, 2005, 54(5): 1969-1971.doi:10.7498/aps.54.1969
[8]	Zhang Yi, Ge Wei-Kuan.A new conservation law from Mei symmetry for the relativistic mechanical system. Acta Physica Sinica, 2005, 54(4): 1464-1467.doi:10.7498/aps.54.1464
[9]	Lou Zhi-Mei.Form invariance of second-order linear nonholonomic systems in phase space. Acta Physica Sinica, 2004, 53(7): 2046-2049.doi:10.7498/aps.53.2046
[10]	Zhang Yi.Form invariance of mechanical systems with unilateral holonomic constraints. Acta Physica Sinica, 2004, 53(2): 331-336.doi:10.7498/aps.53.331
[11]	Qiao Yong-Fen, Zhang Yao-Liang, Han Guang-Cai.Form invariance of Hamilton's canonical equations of a nonholonomic mechanical s ystem. Acta Physica Sinica, 2003, 52(5): 1051-1056.doi:10.7498/aps.52.1051
[12]	Jia Li-Qun.A theory of relativistic analytical statics of rotational systems. Acta Physica Sinica, 2003, 52(5): 1039-1043.doi:10.7498/aps.52.1039
[13]	Fu Jing-Li, Chen Li-Qun, Xie Feng-Ping.Perturbation to the symmetries of relativistic Birkhoffian systems and the inver se problems. Acta Physica Sinica, 2003, 52(11): 2664-2670.doi:10.7498/aps.52.2664
[14]	Fang Jian-Hui, Chen Pei-Sheng, Zhang Jun, Li Hong.Form invariance and Lie symmetry of relativistic mechanical system. Acta Physica Sinica, 2003, 52(12): 2945-2948.doi:10.7498/aps.52.2945
[15]	Fang Jian-Hui, Xue Qing-Zhong, Zhao Shou-Qing.. Acta Physica Sinica, 2002, 51(10): 2183-2185.doi:10.7498/aps.51.2183
[16]	Ge Wei-Kuan.. Acta Physica Sinica, 2002, 51(5): 939-942.doi:10.7498/aps.51.939
[17]	LUO SHAO-KAI, FU JING-LI, CHEN XIANG-WEI.BASIC THEORY OF RELATIVISTIC BIRKHOFFIAN DYNAMICS OF ROTATIONAL SYSTEM. Acta Physica Sinica, 2001, 50(3): 383-389.doi:10.7498/aps.50.383
[18]	FANG JIAN-HUI, ZHAO SONG-QING.LIE SYMMETRIES AND CONSERED QUANTITIES OF RELATIVISTIC ROTATIONAL VARIABLE MASS SYSTEM. Acta Physica Sinica, 2001, 50(3): 390-393.doi:10.7498/aps.50.390
[19]	FANG JIAN-HUI.CONSERVATION LAWS OF RELATIVISTIC VARIABLE MASS SYSTEMS. Acta Physica Sinica, 2001, 50(6): 1001-1005.doi:10.7498/aps.50.1001
[20]	FU JING-LI, CHEN LI-QUN, LUO SHAO-KAI, CHEN XIANG-WEI, WANG XIN-MIN.STUDY ON DYNAMICS OF RELATIVISTIC BIRKHOFF SYSTEMS. Acta Physica Sinica, 2001, 50(12): 2289-2295.doi:10.7498/aps.50.2289

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Vol. 52, Issue 7 - 2003-04-05

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