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hamilton system

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Study of Theory about Large Unified Symmetries for Hamilton Systems
Y.-P. Luo
Journal:

Journal of Mechanics / Volume 27 / Issue 2 / June 2011

Published online by Cambridge University Press:

16 June 2011, pp. 245-252

Print publication:

June 2011
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In this paper, the new concept of theory about Large Unified Symmetries for Hamilton systems are presented. The Large Unified Symmetries and conserved quantities for Hamilton systems are studied by the relation between the three kinds of symmetries and the three kinds of conserved quantities. We worked on the Large Unified Symmetries and conserved quantities by Noether symmetry, Lie symmetry and Mei symmetry, including the definition and criterion of the Large Unified Symmetries and the conserved quantities deduced from them. The Large Unified Symmetries are a intersection set among the Noether symmetries, the Lie symmetries and the Mei symmetries. The theory about Large Unified Symmetries will play an important role in the fields of modern theoretical physics.