Conformal invariance and conserved quantities of a general holonomic system with variable mass

被引：9

作者：

Xia Li-Li ^{[1
]}

Cai Jian-Le ^{[2
]}

机构：

[1] Henan Inst Educ, Dept Phys, Zhengzhou 450014, Peoples R China

[2] Hangzhou Normal Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

CHINESE PHYSICS B | 2010年 / 19卷 / 04期

关键词：

variable mass; conformal invariance; conformal factor; conserved quantity; CONTROLLABLE MECHANICAL SYSTEMS; NOETHER-FORM INVARIANCE; LAGRANGE SYSTEMS; APPELL EQUATIONS; SYMMETRIES;

D O I：

10.1088/1674-1056/19/4/040302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Conformal invariance and conserved quantities of a general holonomic system with variable mass are studied. The definition and the determining equation of conformal invariance for a general holonomic system with variable mass are provided. The conformal factor expression is deduced from conformal invariance and Lie symmetry. The relationship between the conformal invariance and the Lie symmetry is discussed, and the necessary and sufficient condition under which the conformal invariance would be the Lie symmetry of the system under an infinitesimal one-parameter transformation group is deduced. The conserved quantities of the system are given. An example is given to illustrate the application of the result.

引用

页数：6

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