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2010•Acta Physica SinicaOpen access

Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

Dong Wen-shan, Huang Bao-Xin, 潍坊学院物理与电子科学系，潍坊 261061

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Abstract

In this paper we study the Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems， and establish the determining equations， the restriction equations and the additional restriction equations. The structure equation and the form of Noether conserved quantities are obtained. The inverse problems of Lie symmetries are discussed and an example to illustrate the application of the result is given.

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In this paper we study the Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems， and establish the determining equations， the restriction equations and the additional restriction equations. The structure equation and the form of Noether conserved quantities are obtained. The inverse problems of Lie symmetries are discussed and an example to illustrate the application of the result is given.

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Available abstract

In this paper we study the Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems， and establish the determining equations， the restriction equations and the additional restriction equations. The structure equation and the form of Noether conserved quantities are obtained. The inverse problems of Lie symmetries are discussed and an example to illustrate the application of the result is given.

Key concepts: Noether's theorem, Conserved quantity, Nonholonomic system, Homogeneous space, Mathematical physics, Conserved current, Physics, Conservation law

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