Noether's theory of generalized linear nonholonomic mechanical systems

doi:10.1088/1674-1056/20/1/010204

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10204-010204.doi: 10.1088/1674-1056/20/1/010204

Noether's theory of generalized linear nonholonomic mechanical systems

方建会¹, 董文山², 黄宝歆²

(1)Department of Applied Physics, University of Petroleum, Dongying 257061, China; (2)Department of Physics and Electronics Science, University of Weifang, Weifang 261061, China

收稿日期:2009-12-07 修回日期:2010-06-28 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the Natural Science Foundation of Weifang University, China (Grant No. 2008Z03).

Noether's theory of generalized linear nonholonomic mechanical systems

Dong Wen-Shan(董文山)^a) , Huang Bao-Xin(黄宝歆)^a), and Fang Jian-Hui(方建会)^b)

^a Department of Physics and Electronics Science, University of Weifang, Weifang 261061, China; ^b Department of Applied Physics, University of Petroleum, Dongying 257061, China

Received:2009-12-07 Revised:2010-06-28 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the Natural Science Foundation of Weifang University, China (Grant No. 2008Z03).

摘要/Abstract

摘要： By introducing the quasi-symmetry of the infinitesimal transformation of the transformation group G_r, the Noether's theorem and the Noether's inverse theorem for generalized linear nonholonomic mechanical systems are obtained in a generalized compound derivative space. An example is given to illustrate the application of the result.

关键词: generalized linear nonholonomic mechanics, symmetry, conserved quantity, Noether's theory

Abstract: By introducing the quasi-symmetry of the infinitesimal transformation of the transformation group G_r, the Noether's theorem and the Noether's inverse theorem for generalized linear nonholonomic mechanical systems are obtained in a generalized compound derivative space. An example is given to illustrate the application of the result.

Key words: generalized linear nonholonomic mechanics, symmetry, conserved quantity, Noether's theory

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

11.30.-j (Symmetry and conservation laws) 45.05.+x (General theory of classical mechanics of discrete systems)

董文山, 黄宝歆, 方建会. Noether's theory of generalized linear nonholonomic mechanical systems[J]. 中国物理B, 2011, 20(1): 10204-010204.

Dong Wen-Shan(董文山) Huang Bao-Xin(黄宝歆), and Fang Jian-Hui(方建会) . Noether's theory of generalized linear nonholonomic mechanical systems[J]. Chin. Phys. B, 2011, 20(1): 10204-010204.

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Noether's theory of generalized linear nonholonomic mechanical systems

Noether's theory of generalized linear nonholonomic mechanical systems

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