Tow kinds of Mei symmeties and conserved quantities of a mechanical system in phase space

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

doi:10.7498/aps.54.500

Abstract
Two kinds of Mei symmetries and conserved quantities of a mechanical system in phase space are studied. The definitions of the two kinds of Mei symmetries of me chanical system in phase space are given. The determining equations and conserve d quantities are obtained. An example is given to illustrate the application of the result.

Keywords:
phase space /

mechanical system /

Mei symmetry /

conserved quantiy
Authors and contacts
Fang Jian-Hui²,

Liao Yong-Pan¹,

Peng Yong¹

(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]	Wang Ting-Zhi, Sun Xian-Ting, Han Yue-Lin. Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space. Acta Physica Sinica, 2014, 63(10): 104502. doi: 10.7498/aps.63.104502
[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]	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
[5]	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
[6]	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
[7]	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
[8]	Lu Kai, Fang Jian-Hui, Zhang Ming-Jiang, Wang Peng. Noether symmetry and Mei symmetry of discrete holonomic system in phase space. Acta Physica Sinica, 2009, 58(11): 7421-7425. doi: 10.7498/aps.58.7421
[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]	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
[11]	Jia Li-Qun, Zheng Shi-Wang, Zhang Yao-Yu. Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev’s type in event space. Acta Physica Sinica, 2007, 56(10): 5575-5579. doi: 10.7498/aps.56.5575
[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, 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
[14]	Gu Shu-Long, Zhang Hong-Bin. Mei symmetry, Noether symmetry and Lie symmetry of a Vacco system. Acta Physica Sinica, 2005, 54(9): 3983-3986. doi: 10.7498/aps.54.3983
[15]	Fang Jian-Hui, Peng Yong, Liao Yong-Pan. On Mei symmetry of Lagrangian system and Hamiltonian system. Acta Physica Sinica, 2005, 54(2): 496-499. doi: 10.7498/aps.54.496
[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, 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
[18]	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
[19]	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
[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: 7422
PDF Downloads: 635
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

Tow kinds of Mei symmeties and conserved quantities of a mechanical system in phase space

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Tow kinds of Mei symmeties and conserved quantities of a mechanical system in phase space

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About