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

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

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.

Keywords: second-class Mei symmetry conformal invariance conserved quantity Appell system

Received: 02 March 2010
Revised: 23 March 2010
Accepted manuscript online:

PACS:

0320

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055).

Cite this article:

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 2010 Chin. Phys. B 19 090304

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

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