THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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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 |
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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.
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Received: 25 July 2010
Revised: 14 September 2010
Accepted manuscript online:
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PACS:
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11.30.-j
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(Symmetry and conservation laws)
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02.40.Yy
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(Geometric mechanics)
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02.20.Sv
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(Lie algebras of Lie groups)
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Fund: 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). |
Cite this article:
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 2011 Chin. Phys. B 20 021102
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