scholarly journals Conformal invariance and conserved quantity for a variable mass holonomic system in relative motion

2013 ◽  
Vol 62 (23) ◽  
pp. 231101
Author(s):  
Wang Ting-Zhi ◽  
Sun Xian-Ting ◽  
Han Yue-Lin
Keyword(s):  
Relative Motion ◽  
Conformal Invariance ◽  
Variable Mass ◽  
Conserved Quantity ◽  
Holonomic System

Conformal Invariance and Conserved Quantity of Mei Symmetry for Appell Equations in a Holonomic System with Mass Variable

2014 ◽  
Vol 670-671 ◽  
pp. 617-625
Author(s):  
Yao Yu Zhang ◽  
Xian Ting Sun ◽  
Xi Chang Xue ◽  
Li Qun Jia
Keyword(s):  
Conformal Invariance ◽  
Infinitesimal Generator ◽  
Transformation Group ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Parameter Transformation ◽  
Appell Equations ◽  
Mei Symmetry

For a holonomic system with variable mass, the conformal invariance and the conserved quantity of Mei symmetry of Appell equations are investigated. First, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, the Mei symmetry and the conformal invariance of differential equations of motion for Appell equations in a holonomic system with variable mass are defined, and the determining equation of Mei symmetry and conformal invariance for Appell equations in a holonomic system with variable mass are given. Then, the Mei-conserved quantity corresponding to the system is derived by means of the structure equation to which the gauge function satisfies. Finally, an example is given to illustrate the application of the result.

scholarly journals Conformal invariance and conserved quantity of Mei symmetry for Appell equations in holonomic system

2013 ◽  
Vol 62 (16) ◽  
pp. 160201
Author(s):  
Han Yue-Lin ◽  
Sun Xian-Ting ◽  
Zhang Yao-Yu ◽  
Jia Li-Qun
Keyword(s):  
Conformal Invariance ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Appell Equations ◽  
Mei Symmetry

Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system

2010 ◽  
Vol 19 (3) ◽  
pp. 030304 ◽  
Author(s):  
Cui Jin-Chao ◽  
Zhang Yao-Yu ◽  
Yang Xin-Fang ◽  
Jia Li-Qun
Keyword(s):  
Variable Mass ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Appell Equations ◽  
Mei Symmetry
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