A new type of conserved quantity of Mei symmetry for Lagrange system |
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Authors: | Fang Jian-Hui Ding Ning and Wang Peng |
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Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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Abstract: | This paper studies a new type of conserved quantity which is directly
induced by Mei symmetry of the Lagrange system. Firstly, the
definition and criterion of Mei symmetry for the Lagrange system are
given. Secondly, a coordination function is introduced, and the
conditions of existence of the new conserved quantity as well as its
forms are proposed. Lastly, an illustrated example is given. The
result indicates that the coordination function can be selected
properly according to the demand for finding the gauge function, and
thereby the gauge function can be found more easily. Furthermore,
since the choice of the coordination function has multiformity, many
more conserved quantities of Mei symmetry for the Lagrange system
can be obtained. |
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Keywords: | Lagrange system Mei symmetry new conserved quantity |
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