A New Conservation Law Derived from Mei Symmetry for the System
of Generalized Classical Mechanics |
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Authors: | ZHANG Yi |
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Institution: | Department of Civil Engineering, University of Science and
Technology of Suzhou, Suzhou 215011, China |
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Abstract: | A new conservation theorem derived directly from Mei
symmetry of the generalized classical mechanical system is presented.
First, the differential equations of motion of the system are
established, and the definition and criterion of Mei symmetry
for the system of generalized classical mechanics are given,
which are based upon the invariance of dynamical functions under
infinitesimal transformations. Second, the condition under which
a Mei symmetry can lead to a new conservation law is obtained
and the form of the conservation law is presented. And finally,
an example is given to illustrate the application of the results. |
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Keywords: | system of generalized classical mechanics Mei symmetry conservation law |
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