On Mei symmetry of Lagrangian system and Hamiltonian system

Fang Jian-Hui; Peng Yong; Liao Yong-Pan

doi:10.7498/aps.54.496

Abstract
In this paper, the symmetries of Lagrange system and Hamilton system have been studied. It is indicated that two kinds of description of Mei symmetry are equiva lent for Lagrange system ,so only one kind of Mei symmetry can be given; however , they are not equivalent for Hamilton system, so two kinds of Mei symmetry can be given.

Keywords:
Lagrangian system /

Hamiltonian system /

Mei symmetry /

conserved quant ity
Authors and contacts
Fang Jian-Hui²,

Peng Yong¹,

Liao Yong-Pan¹

(1)河西学院物理系，张掖 734000; (2)石油大学(华东)物理科学与技术学院，东营 257061
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]	Xu Rui-Li, Fang Jian-Hui, Zhang Bin. The Noether conserved quantity of Lie symmetry for discrete difference sequence Hamilton system with variable mass. Acta Physica Sinica, 2013, 62(15): 154501. doi: 10.7498/aps.62.154501
[3]	Jiang Wen-An, Luo Shao-Kai. Mei symmetry leading to Mei conserved quantity of generalized Hamiltonian system. Acta Physica Sinica, 2011, 60(6): 060201. doi: 10.7498/aps.60.060201
[4]	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
[5]	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
[6]	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
[7]	Jia Li-Qun, Zhang Yao-Yu, Yang Xin-Fang, Cui Jin-Chao, Xie Yin-Li. Type Ⅲ structural equation and Mei conserved quantity of Mei symmetry for a Lagrangian system. Acta Physica Sinica, 2010, 59(5): 2939-2941. doi: 10.7498/aps.59.2939
[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]	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
[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]	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
[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]	Fang Jian-Hui, Ding Ning, Wang Peng. A new type of conserved quantity of Mei symmetry for Hamilton system. Acta Physica Sinica, 2007, 56(6): 3039-3042. doi: 10.7498/aps.56.3039
[14]	Wu Hui-Bin, Mei Feng-Xiang. Symmetries of Lagrange system subjected to gyroscopic forces. Acta Physica Sinica, 2005, 54(6): 2474-2477. doi: 10.7498/aps.54.2474
[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]	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*
[18]	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
[19]	Zhang Yi. Effects of non-conservative forces and nonholonomic constraints on Lie symmetrie s of a Hamiltonian system. Acta Physica Sinica, 2003, 52(6): 1326-1331. doi: 10.7498/aps.52.1326
[20]	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

Catalog

Vol. 54, Issue 2 - 2005-01-20

Metrics

Abstract views: 7025
PDF Downloads: 659
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

On Mei symmetry of Lagrangian system and Hamiltonian system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

On Mei symmetry of Lagrangian system and Hamiltonian system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About