Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry

doi:10.1088/1674-1056/20/2/021102

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 21102-021102.doi: 10.1088/1674-1056/20/2/021102

• THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS • 上一篇下一篇

Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry

罗一平, 傅景礼

Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

收稿日期:2010-07-25 修回日期:2010-09-14 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337).

Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry

Luo Yi-Ping(罗一平)^† and Fu Jin-Li(傅景礼)

Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received:2010-07-25 Revised:2010-09-14 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337).

摘要/Abstract

摘要： This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under second-class Mei symmetry is given. The conformal factor in the determining equations is found. The relationship between Birkhoff system's conformal invariance and second-class Mei symmetry are discussed. The necessary and sufficient conditions of conformal invariance, which are simultaneously of second-class symmetry, are given. And Birkhoff system's conformal invariance may lead to corresponding Mei conserved quantities, which is deduced directly from the second-class Mei symmetry when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.

Abstract: This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under second-class Mei symmetry is given. The conformal factor in the determining equations is found. The relationship between Birkhoff system's conformal invariance and second-class Mei symmetry are discussed. The necessary and sufficient conditions of conformal invariance, which are simultaneously of second-class symmetry, are given. And Birkhoff system's conformal invariance may lead to corresponding Mei conserved quantities, which is deduced directly from the second-class Mei symmetry when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.

Key words: second-class Mei symmetry, conformal invariance, conserved quantity, Birkhoff system

中图分类号: (Symmetry and conservation laws)

11.30.-j

02.40.Yy (Geometric mechanics) 02.20.Sv (Lie algebras of Lie groups)

罗一平, 傅景礼. Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry[J]. 中国物理B, 2011, 20(2): 21102-021102.

Luo Yi-Ping(罗一平) and Fu Jin-Li(傅景礼). Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry[J]. Chin. Phys. B, 2011, 20(2): 21102-021102.

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Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry

Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry

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