中国物理B ›› 2002, Vol. 11 ›› Issue (1): 1-4.doi: 10.1088/1009-1963/11/1/301

• GENERAL •    下一篇

Lie symmetries and conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints

张宏彬   

  1. Department of Physics, Chaohu Teachers College, Chaohu 238000, China
  • 收稿日期:2001-06-24 修回日期:2001-09-03 出版日期:2005-06-12 发布日期:2005-06-12

Lie symmetries and conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints

Zhang Hong-Bin (张宏彬)   

  1. Department of Physics, Chaohu Teachers College, Chaohu 238000, China
  • Received:2001-06-24 Revised:2001-09-03 Online:2005-06-12 Published:2005-06-12

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摘要： In this paper, we study the Lie symmetries and the conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints. We give the conditions and the form of conserved quantities due to the Lie symmetries of the systems, and present the inverse problem of the above problem, i.e. finding the corresponding Lie symmetry transformation according to a given integral of the system. Finally, we give an example to illustrate the application of the results.

Abstract: In this paper, we study the Lie symmetries and the conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints. We give the conditions and the form of conserved quantities due to the Lie symmetries of the systems, and present the inverse problem of the above problem, i.e. finding the corresponding Lie symmetry transformation according to a given integral of the system. Finally, we give an example to illustrate the application of the results.

Key words: non-holonomic mechanical systems with unilateral Vacco constraints, Lie symmetry, conserved quantity

中图分类号:  (Linear algebra)

  • 02.10.Ud
02.30.Zz (Inverse problems) 02.30.Uu (Integral transforms)