Conformal invariance and Hojman conserved quantities for holonomic systems with quasi-coordinates

doi:10.1088/1674-1056/19/9/090303

Abstract We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation vector of generators for holonomic systems with quasi-coordinates are described in detail. The conformal factor in the determining equations of the Lie symmetry is found. The necessary and sufficient conditions of conformal invariance, which are simultaneously of Lie symmetry, are given. The conformal invariance may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Finally, an illustration example is introduced to demonstrate the application of the result.

Keywords: quasi-coordinates conformal invariance conformal factor conserved quantity

Received: 14 October 2009
Revised: 07 April 2010
Accepted manuscript online:

PACS:

0320

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055).

Cite this article:

Luo Yi-Ping(罗一平) and Fu Jing-Li(傅景礼) Conformal invariance and Hojman conserved quantities for holonomic systems with quasi-coordinates 2010 Chin. Phys. B 19 090303

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Conformal invariance and Hojman conserved quantities for holonomic systems with quasi-coordinates

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