Abstract This paper is devoted to studying the conformal invariance and Noether symmetry and Lie symmetry of a holonomic mechanical system in event space. The definition of the conformal invariance and the corresponding conformal factors of the holonomic system in event space are given. By investigating the relation between the conformal invariance and the Noether symmetry and the Lie symmetry, expressions of conformal factors of the system under these circumstances are obtained, and the Noether conserved quantity and the Hojman conserved quantity directly derived from the conformal invariance are given. Two examples are given to illustrate the application of the results.
Received: 13 August 2008
Revised: 09 September 2008
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No10772025) and the
Natural Science Foundation of Higher Education Institution of
Jiangsu Province of China (Grant No 08KJB130002).
Cite this article:
Zhang Yi(张毅) Conformal invariance and Noether symmetry, Lie symmetry of holonomic mechanical systems in event space 2009 Chin. Phys. B 18 4636
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