EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM

doi:10.1088/1009-1963/10/1/303

中国物理B ›› 2001, Vol. 10 ›› Issue (1): 12-16.doi: 10.1088/1009-1963/10/1/303

EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM

张睿超¹, 梅凤翔¹, 陈向炜²

(1)Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; (2)Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China

收稿日期:2000-06-30 出版日期:2001-01-15 发布日期:2005-07-11
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 19972010) and the Doctoral Program Foun-dation of Institution of Higher Education of China.

EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM

Zhang Rui-chao (张睿超)^a, Chen Xiang-wei (陈向炜)^b, Mei Feng-xiang (梅凤翔)^a

^a Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; ^b Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China

Received:2000-06-30 Online:2001-01-15 Published:2005-07-11
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 19972010) and the Doctoral Program Foun-dation of Institution of Higher Education of China.

摘要/Abstract

摘要： After a Birkhoff system is restricted by constraints, the determining equations, the Lie symmetries, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some Lie symmetries will disappear and under certain conditions some Lie symmetries will still remain present. The condition under which Lie symmetries and conserved quantities of the system will remain is given.

Abstract: After a Birkhoff system is restricted by constraints, the determining equations, the Lie symmetries, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some Lie symmetries will disappear and under certain conditions some Lie symmetries will still remain present. The condition under which Lie symmetries and conserved quantities of the system will remain is given.

Key words: Birkhoff system, Lie symmetry, conserved quantity, constraint

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

02.30.Hq (Ordinary differential equations)

张睿超, 陈向炜, 梅凤翔. EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM[J]. 中国物理B, 2001, 10(1): 12-16.

Zhang Rui-chao (张睿超), Chen Xiang-wei (陈向炜), Mei Feng-xiang (梅凤翔). EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM[J]. Chinese Physics, 2001, 10(1): 12-16.

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EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM

EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM

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