Conformal invariance and a kind of Hojman conserved quantity of the Nambu system

doi:10.1088/1674-1056/20/3/030201

Abstract Conformal invariance and a kind of Hojman conserved quantity of the Nambu system under infinitesimal transformations are studied. The definition and the determining equation of conformal invariance of the system are presented. The necessary and sufficient condition under which the conformal invariance of the system would have Lie symmetry under infinitesimal transformations is derived. Then, the condition of existence and a kind of Hojman conserved quantity are obtained. Finally, an example is given to illustrate the application of the results.

Keywords: conformal invariance Nambu system Hojman conserved quantity

Received: 30 August 2010
Revised: 26 September 2010
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.20.Qs	(General properties, structure, and representation of Lie groups)
	45.20.Jj	(Lagrangian and Hamiltonian mechanics)

Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 09CX04018A).

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Li Yan(李燕),Fang Jian-Hui(方建会),and Zhang Ke-Jun(张克军) Conformal invariance and a kind of Hojman conserved quantity of the Nambu system 2011 Chin. Phys. B 20 030201

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Conformal invariance and a kind of Hojman conserved quantity of the Nambu system

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