Conformal invariance and Hojman conservedquantities of first order Lagrange systems

doi:10.1088/1674-1056/17/9/004

中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3180-3184.doi: 10.1088/1674-1056/17/9/004

Conformal invariance and Hojman conservedquantities of first order Lagrange systems

刘畅¹, 梅凤翔¹, 陈向炜²

(1)College of Science, Beijing Institute of Technology, Beijing 100081, China; (2)Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China

收稿日期:2008-01-01 修回日期:2008-01-27 出版日期:2008-09-08 发布日期:2008-09-08
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos 10372053, 10572021 and 10772025) and the National Natural Science Foundation of Henan province of China(Grant No 0311010900).

Conformal invariance and Hojman conservedquantities of first order Lagrange systems

Chen Xiang-Wei(陈向炜)^a)†, Liu Chang(刘畅)^b), and Mei Feng-Xiang (梅凤翔)^b)

^a Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China; ^b College of Science, Beijing Institute of Technology, Beijing 100081, China

Received:2008-01-01 Revised:2008-01-27 Online:2008-09-08 Published:2008-09-08
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos 10372053, 10572021 and 10772025) and the National Natural Science Foundation of Henan province of China(Grant No 0311010900).

摘要/Abstract

摘要： In this paper the conformal invariance by infinitesimal transformations of first order Lagrange systems is discussed in detail. The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given. Then it gets the Hojman conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.

关键词: first order Lagrange systems, infinitesimal transformation, conformal invariance, Hojman conserved quantities

Abstract: In this paper the conformal invariance by infinitesimal transformations of first order Lagrange systems is discussed in detail. The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given. Then it gets the Hojman conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.

Key words: first order Lagrange systems, infinitesimal transformation, conformal invariance, Hojman conserved quantities

中图分类号: (Partial differential equations)

02.30.Jr

45.20.Jj (Lagrangian and Hamiltonian mechanics) 45.50.-j (Dynamics and kinematics of a particle and a system of particles)

陈向炜, 刘畅, 梅凤翔. Conformal invariance and Hojman conservedquantities of first order Lagrange systems[J]. 中国物理B, 2008, 17(9): 3180-3184.

Chen Xiang-Wei(陈向炜), Liu Chang(刘畅), and Mei Feng-Xiang (梅凤翔). Conformal invariance and Hojman conservedquantities of first order Lagrange systems[J]. Chin. Phys. B, 2008, 17(9): 3180-3184.

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Conformal invariance and Hojman conservedquantities of first order Lagrange systems

Conformal invariance and Hojman conservedquantities of first order Lagrange systems

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