A New Type of Mei Adiabatic Invariant Induced by Perturbation to Mei Symmetry of Hamiltonian Systems
A New Type of Mei Adiabatic Invariant Induced by Perturbation to Mei Symmetry of Hamiltonian Systems
摘要
Considering full perturbation to infinitesimal generators in the Mei structure equation,a new type of Meiadiabatic invariant induced by perturbation to Mei symmetry for Hamiltonian system was reported.
基金
Supported by the Natural Science Foundation of Shandong Province under Grant No.Y2008A33
参考文献19
-
1F.X. Mei, Symmetries and Conserved Quantities of Constrained Mechanical Systems, Beijing Institute of Technology Press, Beijing (2004) (in Chinese).
-
2S.K. Luo, Commun. Theor. Phys. 40 (2003) 265.
-
3J.L. Fu, L.Q. Chen, and F.P. Xie, Chin. Phys. 13 (2004) 1611.
-
4R.W. Liu and L.Q. Chen, Chin. Phys. 13 (2004) 1615.
-
5J.L. Fu and L.Q. Chen, Mech. Research Commun. 31 (2004) 9.
-
6J.H. Fang, X.H. Yah, H. Li, and P.S. Chen, Commun. Theor. Phys. 42 (2004) 19.
-
7X.J. Xu, M.C. Qin, and F.X. Mei, Commun. Theor. Phys. 44 (2005) 769.
-
8J.H. Fang, P. Wang, and N. Ding, Commun. Theor. Phys 45 (2006) 882.
-
9P. Wang, J.H. Fang, P.Y. Zhang, and N. Ding, Commun Theor. Phys. 4B (2006) 385.
-
10J.L. Fu, L.Q. Chen, and X.W. Chen, Chin. Phys. 15 (2006) 8.
-
1陈向炜,张睿超,梅凤翔.PERTURBATION OF SYMMETRIES OF BIRKHOFF SYSTEM AND ADIABATIC INVARIANTS[J].Acta Mechanica Sinica,2000,16(3):282-288. 被引量:5
-
2刘成周.Area and entropy spectra of black holes via an adiabatic invariant[J].Chinese Physics B,2012,21(7):156-161.
-
3陈向炜,王新民,王明泉.Exact invariants and adiabatic invariantsof dynamical system of relative motion[J].Chinese Physics B,2004,13(12):2003-2007. 被引量:2
-
4张克军,方建会,李燕.Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system[J].Chinese Physics B,2011,20(5):305-309. 被引量:2
-
5DING Ning FANG Jian-Hui WANG Peng ZHANG Xiao-Ni College of Physics Science and Technology,China University of Petroleum,Dongying 257061,China.Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems[J].Communications in Theoretical Physics,2007(7):19-22.
-
6刘成周.Area and entropy spectra of black holes via an adiabatic invariant[J].Chinese Physics B,2012,21(7):152-157.
-
7夏丽莉,李元成.Perturbation to symmetries and Hojman adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints[J].Chinese Physics B,2007,16(6):1516-1520. 被引量:1
-
8CHENXiang-Wei WANGMing-Quan WANGXin-Min.Perturbation to Symmetries and Adiabatic Invariants of Nonholonomic Dynamical System of Relative Motion[J].Communications in Theoretical Physics,2005,43(4):577-581. 被引量:1
-
9方戈亮.Entropy Quantization from a Neutral Black String[J].Communications in Theoretical Physics,2012,58(10):517-519.
-
10李慧玲,林榕,程丽英.Spectroscopy via adiabatic covariant action for the Baados-Teitelboim-Zanelli (BTZ) black hole[J].Chinese Physics B,2013,22(5):182-186.