Conformal invariance and conserved quantities for Poincaré dynamics system

Author

Yi-Ping Luo

Author_Institution

Dept. of Phys., Zhejiang Sci-Tech Univ., Hangzhou, China

fYear

2011

fDate

24-26 June 2011

Firstpage

5828

Lastpage

5832

Abstract

In this paper the conformal invariance and conserved quantities for Poincaré dynamics system under Lie symmetry are studied. The single-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are introduced. The definitions about conformal invariance for Poincaré dynamics system under Lie symmetry are given. The relationship between conformal invariance and Lie symmetry are discussed. The necessary and sufficient condition that the conformal invariance would be Lie symmetry is deduced. The corresponding conserved quantities are obtained with the aid of a structure equation.

Keywords

Lie groups; Poincare invariance; conformal symmetry; vectors; Lie symmetry; Poincare dynamics system; conformal invariance; conserved quantities; single-parameter infinitesimal transformation group; structure equation; transformation vector; Differential equations; Equations; Generators; Mechanical systems; Physics; Silicon compounds; Sufficient conditions; Poincaré system; conformal factor; conformal invariance; conserved quantity;

fLanguage

English

Publisher

ieee

Conference_Titel

Remote Sensing, Environment and Transportation Engineering (RSETE), 2011 International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4244-9172-8

Type

conf

DOI

10.1109/RSETE.2011.5965680

Filename

5965680