Mei symmetry and conserved quantity of a holonomic system

Ge Wei-Kuan

doi:10.7498/aps.57.6714

Abstract
The definition and the criterion of a Mei symmetry for a holonomic system are obtained in this paper.If the Mei symmetry is a Noether symmetry，the Noether conserved quantity is given，If the Mei symmetry is a Lie symmetry，the conserved quantity of Hojman type is obtained.An example is given to illustrate the application of the result.

Keywords:
analytical mechanics /

holonomic system /

Mei symmetry /

conserved quantity
Authors and contacts
Ge Wei-Kuan

1.
湖州师范学院物理系，湖州 313000
References

Cited By

[1]	Huang Wei-Li. Inverse problem of Mei symmetry for a general holonomic system. Acta Physica Sinica, 2015, 64(17): 170202. doi: 10.7498/aps.64.170202
[2]	Luo Shao-Kai, Jia Li-Qun, Xie Yin-Li. Mei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion. Acta Physica Sinica, 2011, 60(4): 040201. doi: 10.7498/aps.60.040201
[3]	Liu Xiao-Wei, Li Yuan-Cheng. Another kind of conserved quantity induced by Mei symmetry of mechanico-electrical system. Acta Physica Sinica, 2011, 60(11): 111102. doi: 10.7498/aps.60.111102
[4]	Zheng Shi-Wang, Xie Jia-Fang, Chen Xiang-Wei, Du Xue-Lian. Another kind of conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems. Acta Physica Sinica, 2010, 59(8): 5209-5212. doi: 10.7498/aps.59.5209
[5]	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
[6]	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
[7]	Liu Yang-Kui. A kind of conserved quantity of Mei symmetry for general holonomic mechanical systems. Acta Physica Sinica, 2010, 59(1): 7-10. doi: 10.7498/aps.59.7
[8]	Fang Jian-Hui. A kind of conserved quantity of Mei symmetry for Lagrange system. Acta Physica Sinica, 2009, 58(6): 3617-3619. doi: 10.7498/aps.58.3617
[9]	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
[10]	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
[11]	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
[12]	Xu Xue-Jun, Mei Feng-Xiang. Unified symmetry of the holonomic system in terms of quasi-coordinates. Acta Physica Sinica, 2005, 54(12): 5521-5524. doi: 10.7498/aps.54.5521
[13]	Xu Xue-Jun, Mei Feng-Xiang, Qin Mao-Chang. Hojman conserved quantity for a holonomic system in the event space. Acta Physica Sinica, 2005, 54(3): 1009-1014. doi: 10.7498/aps.54.1009
[14]	Zhang Yi. Symmetries and conserved quantities of mechanical systems with unilateral holonomic constraints in phase space. Acta Physica Sinica, 2005, 54(10): 4488-4495. doi: 10.7498/aps.54.4488
[15]	Fang Jian-Hui, Liao Yong-Pan, Peng Yong. Tow kinds of Mei symmeties and conserved quantities of a mechanical system in phase space. Acta Physica Sinica, 2005, 54(2): 500-503. doi: 10.7498/aps.54.500
[16]	Zhang Yi. Symmetries and Mei conserved quantities for systems of generalized classical mechanics. Acta Physica Sinica, 2005, 54(7): 2980-2984. doi: 10.7498/aps.54.2980
[17]	Li Hong, Fang Jian-Hui. Mei symmetry of variable mass systems with unilateral holonomic constraints. Acta Physica Sinica, 2004, 53(9): 2807-2810. doi: 10.7498/aps.53.2807
[18]	Zhang Yi, Mei Feng-Xiang. Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system. Acta Physica Sinica, 2004, 53(8): 2419-2423. doi: 10.7498/aps.53.2419
[19]	Luo Shao-Kai. Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system. Acta Physica Sinica, 2003, 52(12): 2941-2944. doi: 10.7498/aps.52.2941
[20]	Zhang Yi. . Acta Physica Sinica, 2002, 51(3): 461-464. doi: 10.7498/aps.51.461

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Vol. 57, Issue 11 - 2008-06-05

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