Title :
Conformal invariance and conserved quantities for Poincaré dynamics system
Author_Institution :
Dept. of Phys., Zhejiang Sci-Tech Univ., Hangzhou, China
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;
Conference_Titel :
Remote Sensing, Environment and Transportation Engineering (RSETE), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9172-8
DOI :
10.1109/RSETE.2011.5965680
