期刊文献+

Mei Symmetry and New Conserved Quantity of Tzenoff Equations for Holonomic Systems 被引量:13

Mei Symmetry and New Conserved Quantity of Tzenoff Equations for Holonomic Systems
原文传递
导出
摘要 A new conserved quantity is deduced from Mei symmetry of Tzenoff equations for holonomic systems. The expression of this new conserved quantity is given, and the determining equation to induce this new conserved quantity is presented. The results exhibit that this new method is easier to find more conserved quantities than the previously reported ones. Finally, application of this new result is presented by a practical example. A new conserved quantity is deduced from Mei symmetry of Tzenoff equations for holonomic systems. The expression of this new conserved quantity is given, and the determining equation to induce this new conserved quantity is presented. The results exhibit that this new method is easier to find more conserved quantities than the previously reported ones. Finally, application of this new result is presented by a practical example.
出处 《Chinese Physics Letters》 SCIE CAS CSCD 2007年第8期2164-2166,共3页 中国物理快报(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant Nos 10672143 and 10572021.
关键词 LIE SYMMETRIES FORM INVARIANCE NONHOLONOMIC SYSTEMS HAMILTONIAN SYSTEM LIE SYMMETRIES FORM INVARIANCE NONHOLONOMIC SYSTEMS HAMILTONIAN SYSTEM
  • 相关文献

参考文献27

  • 1Noether A E 1918 Nachr. Akad. Wiss. Gottingen. Math. Phys. KI Ⅱ 235
  • 2Liu D 1991 Sci. Chin. 34 419
  • 3Li Z P 1993 Classical and Quantum Dynamics of Constrained Systems and Their Symmetrical Properties (Beijing: Beijing Polytechnic University)
  • 4Chen X W and Li Y M 2003 Chin. Phys. 12 936
  • 5Mei F X 1999 Applications of Lie Groups and Lie Algebras to Constrained Mechanical Systems (Beijing: Science Press)
  • 6Luo S K 2002 Chin. Phys. Lett. 19 449
  • 7Luo S K 2003 Chin. Phys. Lett. 20 597
  • 8Qin M C, Mei F X and S M 2005 Chin. Phys. Lett. 22 785
  • 9Luo S K, Jia L Q and Cai J L 2005 Commun. Theor. Phys. 43 193
  • 10Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology)

同被引文献102

引证文献13

二级引证文献26

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部