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Study of Theory about Large Unified Symmetries for Hamilton Systems

Published online by Cambridge University Press:  16 June 2011

Y.-P. Luo
Y.-P. Luo*
Affiliation:
Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
*
*Associate Professor, corresponding author
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Abstract

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.

Keywords

Large Unified SymmetryInvarianceConserved quantityHamilton system
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 2 , June 2011 , pp. 245 - 252
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

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