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Abstract
In this paper, the conformal invariance of holonomic mechanical systems with variable mass is studied. The necessary and the sufficient conditions of conformal invariance of the system are obtained and shown to be also those of Lie symmetry simultaneously. Finally the Noether conserved quantities of conformal invariance are presented.

Keywords:
variable mass systems/

infinitesimal transformations/

conformal invariance/

conserved quantities
Authors and contacts
Chen Xiang-Wei²,

Zhao Yong-Hong²,

Liu Chang¹
References

Cited By

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[2]	Wang Ting-Zhi, Sun Xian-Ting, Han Yue-Lin.Conformal invariance and conserved quantity for a variable mass holonomic system in relative motion. Acta Physica Sinica, 2013, 62(23): 231101.doi:10.7498/aps.62.231101
[3]	Zheng Shi-Wang, Wang Jian-Bo, Chen Xiang-Wei, Li Yan-Min, Xie Jia-Fang.Lie symmetry and their conserved quantities of Tznoff equations for the vairable mass nonholonomic systems. Acta Physica Sinica, 2012, 61(11): 111101.doi:10.7498/aps.61.111101
[4]	Zhang Bin, Fang Jian-Hui, Zhang Ke-Jun.Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system. Acta Physica Sinica, 2012, 61(2): 021101.doi:10.7498/aps.61.021101
[5]	Li Yuan-Cheng, Xia Li-Li, Wang Xiao-Ming, Liu Xiao-Wei.Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system. Acta Physica Sinica, 2010, 59(6): 3639-3642.doi:10.7498/aps.59.3639
[6]	Li Yuan-Cheng, Wang Xiao-Ming, Xia Li-Li.Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system. Acta Physica Sinica, 2010, 59(5): 2935-2938.doi:10.7498/aps.59.2935
[7]	Zhang Yi.Birkhoff symmetries and conserved quantities of generalized Birkhoffian systems. Acta Physica Sinica, 2009, 58(11): 7436-7439.doi:10.7498/aps.58.7436
[8]	Cai Jian-Le.Conformal invariance and conserved quantities of Mei symmetry for general holonomic systems. Acta Physica Sinica, 2009, 58(1): 22-27.doi:10.7498/aps.58.22
[9]	Ge Wei-Kuan.Mei symmetry and conserved quantity of a holonomic system. Acta Physica Sinica, 2008, 57(11): 6714-6717.doi:10.7498/aps.57.6714
[10]	Cai Jian-Le, Mei Feng-Xiang.Conformal invariance and conserved quantity of Lagrange systems under Lie point transformation. Acta Physica Sinica, 2008, 57(9): 5369-5373.doi:10.7498/aps.57.5369
[11]	Liu Yang-Kui, Fang Jian-Hui.Two types of conserved quantities of Lie-Mei symmetry for a variable mass system in phase space. Acta Physica Sinica, 2008, 57(11): 6699-6703.doi:10.7498/aps.57.6699
[12]	Zheng Shi-Wang, Jia Li-Qun.Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems. Acta Physica Sinica, 2007, 56(2): 661-665.doi:10.7498/aps.56.661
[13]	Zheng Shi-Wang, Fu Jing-Li, Li Xian-Hui.Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems. Acta Physica Sinica, 2005, 54(12): 5511-5516.doi:10.7498/aps.54.5511
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[15]	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
[16]	Zhang Yi, Fan Cun-Xin, Ge Wei-Kuan.A new type of conserved quantities for Birkhoffian systems*. Acta Physica Sinica, 2004, 53(11): 3644-3647.doi:10.7498/aps.53.3644
[17]	Fang Jian－Hui, Liao Yong－Pan, Zhang Jun.Non－Noether conserved quantity of a general form for mechanical systems with variable mass. Acta Physica Sinica, 2004, 53(12): 4037-4040.doi:10.7498/aps.53.4037
[18]	Fang Jian－Hui, Zhang Peng－Yu.The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space. Acta Physica Sinica, 2004, 53(12): 4041-4044.doi:10.7498/aps.53.4041
[19]	Ge Wei-Kuan.. Acta Physica Sinica, 2002, 51(6): 1156-1158.doi:10.7498/aps.51.1156
[20]	Xu Zhi-Xin.. Acta Physica Sinica, 2002, 51(11): 2423-2425.doi:10.7498/aps.51.2423

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Vol. 58, Issue 8 - 2009-04-20

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