Conformal Invariance and Conserved Quantities οf Mei Symmetry for Lagrange Systems

• Authors: Jian-Le Cai
• Languages of publication: EN

Abstracts

EN

Conformal invariance and conserved quantities of the Mei symmetry for the Lagrange systems under the infinitesimal transformation of groups are studied. Firstly, the definition of conformal invariance of the Mei symmetry is given, together with its criterion equations and determining equations. Then the systems' conserved quantities are obtained using the structure equation satisfied by the gauge function. Lastly, an example is taken to illustrate the application of the result.

Keywords

EN

02.20.Sv; 11.30.-j

Discipline

• 11.30.-j: Symmetry and conservation laws(see also 02.20.-a Group theory)
• 02.20.Sv: Lie algebras of Lie groups

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 5
• Pages: 854-856

Dates

published

2009-05

received

2009-02-02

Contributors

author

Jian-Le Cai

• College of Science, Hangzhou Normal University, Hangzhou 310018, China

References

• 1. A.E. Noether, Nachr. Akad. Math. 2, 235 (1918)
• 2. D.S. Djukić, B.D. Vujanović, Acta Mech. 23, 17 (1975)
• 3. H.B. Wu, F.X. Mei, Acta Phys. Sin. 55, 3825 (2006)
• 4. W.K. Ge, Acta Phys. Sin. 51, 1156 (2002)
• 5. S.K. Luo, Chin. Sci. Bull. 36, 717 (1991)
• 6. H.B. Zhang, Acta Phys. Sin. 50, 1837 (2001)
• 7. F.X. Mei, G.H. Zheng, Acta Mech. Sin. 18, 414 (2002)
• 8. F.X. Mei, Applications of Lie Groups and Lie Algebras to Constrained Mechanical Systems, Science Press, Beijing 1999
• 9. Y.Y. Zhao, F.X. Mei, Symmetries and Invariants of Mechanical Systems, Science Press, Beijing 1999
• 10. S.K. Luo, Acta Phys. Sin. 52, 2941 (2003)
• 11. J.H. Fang, Commun. Theor. Phys. 40, 269 (2003)
• 12. F.X. Mei, Symmetries and Conserved Quantities of Constrained Mechanical Systems, Beijing Institute of Technology Press, Beijing 2004
• 13. S.K. Luo, Acta Phys. Sin. 52, 1 (2003)
• 14. Y. Zhang, Acta Phys. Sin. 54, 2980 (2005)
• 15. L.Q. Jia, Y.Y. Zhang, S.W. Zheng, Acta Phys. Sin. 56, 0649 (2007)
• 16. L.Q. Jia, S.W. Zheng, Y.Y. Zhang, Acta Phys. Sin. 56, 5575 (2007)
• 17. Y. Zhang, F.X. Mei, Acta Phys. Sin. 53, 661 (2004)
• 18. F.X. Mei, J. Beijing Inst. Tech. 25, 283 (2005)
• 19. F.X. Mei, Acta Phys. Sin. 54, 2474 (2005)
• 20. F.X. Mei, M. Shang, Acta Phys. Sin. 49, 1901 (2000)
• 21. F.X. Mei, H.P. Zhu, J. Beijing Inst. Tech. 9, 11 (2000)
• 22. R.C. Zhang, X.W. Chen, F.X. Mei, Chin. Phys. 9, 561 (2000)
• 23. F.X. Mei, X.J. Xu, Chin. Phys. 14, 449 (2005)
• 24. X.J. Xu, F.X. Mei, J. Beijing Inst. Tech. 24, 16 (2004)
• 25. J.H. Fang, Y. Peng, Y.P. Liao, Acta Phys. Sin. 54, 496 (2005)
• 26. Z.M. Lou, Acta Phys. Sin. 54, 1015 (2005)
• 27. A.S. Galiullin, G.G. Gafarov, R.P. Malaishka, A.M. Khwan, Analytical Dynamics of Helmholtz, Birkhoff and Nambu Systems, UFN, Moscow 1997, p. 183
• 28. J.L. Cai, Chin. Phys. Lett. 25, 1523 (2008)
• 29. J.L. Cai, F.X. Mei, Acta Phys. Sin. 57, 5369 (2008)
• 30. J.L. Cai, S.K. Luo, F.X. Mei, Chin. Phys. B 17, 3170 (2008)
• 31. G. He, F.X. Mei, Chin. Phys. B 17, 2764 (2008)

Identifiers

DOI

10.12693/APhysPolA.115.854