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

doi:10.1088/1674-1056/19/9/090304

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90304-090304.doi: 10.1088/1674-1056/19/9/090304

Conformal invariance and conserved quantities of Appell 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:2010-03-02 修回日期:2010-03-23 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055).

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

Luo Yi-Ping(罗一平)^† and Fu Jing-Li(傅景礼)

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

Received:2010-03-02 Revised:2010-03-23 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055).

摘要/Abstract

摘要： In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system's conformal invariance and Mei symmetry are discussed. And Appell system's conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.

Abstract: In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system's conformal invariance and Mei symmetry are discussed. And Appell system's conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities 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, Appell system

中图分类号:

0320

罗一平, 傅景礼. Conformal invariance and conserved quantities of Appell systems under second-class Mei symmetry[J]. 中国物理B, 2010, 19(9): 90304-090304.

Luo Yi-Ping(罗一平) and Fu Jing-Li(傅景礼). Conformal invariance and conserved quantities of Appell systems under second-class Mei symmetry[J]. Chin. Phys. B, 2010, 19(9): 90304-090304.

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

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

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