Conformal invariance and Hojman conserved quantities of generalized Hamilton systems

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Abstract
In this paper the conformal invariance under infinitesimal transformations of generalized Hamilton systems is studied. The necessary and sufficient conditions for the conformal invariance under infinitesimal transformations which has Lie symmetry are given. Then we get the Hojman conserved quantities from conformal invariance of generalized Hamilton systems. Finally，an illustrative example is given to verify the result.

Keywords:
generalized Hamilton systems /

conformal invariance /

Hojman conserved quantities /

determining equation
Authors and contacts
Liu Chang³,

Liu Shi-Xing²,

Mei Feng-Xiang¹,

Guo Yong-Xin²

(1)北京理工大学理学院力学系，北京 100081; (2)辽宁大学物理学院，沈阳 110036; (3)辽宁大学物理学院，沈阳 110036；北京理工大学理学院力学系，北京 100081
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