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中国物理学会期刊

一类完整系统的Mei对称性与守恒量

CSTR: 32037.14.aps.57.6714

Mei symmetry and conserved quantity of a holonomic system

CSTR: 32037.14.aps.57.6714
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  • 对一类完整系统的方程给出其Mei对称性的定义和判据.如果Mei对称性是Noether对称性,则可找到Noether守恒量.如果Mei对称性是Lie对称性,则可找到Hojman型守恒量.举例说明结果的应用.

     

    The definition and the criterion of a Mei symmetry for a holonomic system are obtained in this paper.If the Mei symmetry is a Noether symmetry,the Noether conserved quantity is given,If the Mei symmetry is a Lie symmetry,the conserved quantity of Hojman type is obtained.An example is given to illustrate the application of the result.

     

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