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2009 | 115 | 5 | 854-856
Article title

Conformal Invariance and Conserved Quantities οf Mei Symmetry for Lagrange Systems

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Content
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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
Publisher

Year
Volume
115
Issue
5
Pages
854-856
Physical description
Dates
published
2009-05
received
2009-02-02
Contributors
author
  • 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)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv115n502kz
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