A new type of conserved quantity deduced from conformal invariance in nonholonomic mechanical system
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Published:2014
Issue:9
Volume:63
Page:090201
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ISSN:1000-3290
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Container-title:Acta Physica Sinica
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language:
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Short-container-title:Acta Phys. Sin.
Author:
Wang Ting-Zhi ,Sun Xian-Ting ,Han Yue-Lin , ,
Abstract
Conformal invariance and a new type of conserved quantity in nonholonomic mechanical system are studied. The definition and determining equation of conformal invariance for the nonholonomic mechanical system are provided; and the necessary and sufficient conditions that the conformal invariance for a nonholonomic mechanical system should be of Lie symmetry are deduced. With the aid of a new structure equation that the gauge function satisfies, the system's corresponding new conserved quantity is obtained. Finally an example is given to illustrate the application of the results.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
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