scholarly journals Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system

2003 ◽  
Vol 52 (12) ◽  
pp. 2941
Author(s):  
Luo Shao-Kai
Keyword(s):  
Hamiltonian System ◽  
Lie Symmetry ◽  
Noether Symmetry ◽  
Mei Symmetry

Mei Symmetry and Lie Symmetry of Relativistic Hamiltonian System

2004 ◽  
Vol 42 (1) ◽  
pp. 19-22 ◽  
Author(s):  
Fang Jian-Hui ◽  
Yan Xiang-Hong ◽  
Li Hong ◽  
Chen Pei-Sheng
Keyword(s):  
Hamiltonian System ◽  
Lie Symmetry ◽  
Mei Symmetry

scholarly journals Mei symmetry, Noether symmetry and Lie symmetry of an Emden system

2006 ◽  
Vol 55 (11) ◽  
pp. 5594
Author(s):  
Gu Shu-Long ◽  
Zhang Hong-Bin
Keyword(s):  
Lie Symmetry ◽  
Noether Symmetry ◽  
Mei Symmetry

Study of Theory about Large Unified Symmetries for Hamilton Systems

2011 ◽  
Vol 27 (2) ◽  
pp. 245-252
Author(s):  
Y.-P. Luo
Keyword(s):  
Lie Symmetry ◽  
Lie Symmetries ◽  
Noether Symmetry ◽  
Theoretical Physics ◽  
Conserved Quantities ◽  
Noether Symmetries ◽  
Mei Symmetry

ABSTRACTIn 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.

scholarly journals Mei symmetry, Noether symmetry and Lie symmetry of a Vacco system

2005 ◽  
Vol 54 (9) ◽  
pp. 3983
Author(s):  
Gu Shu-Long ◽  
Zhang Hong-Bin
Keyword(s):  
Lie Symmetry ◽  
Noether Symmetry ◽  
Mei Symmetry

Inverse Problems of Mei Symmetry for Nonholonomic Systems with Variable Mass

2015 ◽  
Vol 31 (5) ◽  
pp. 515-523 ◽  
Author(s):  
W.-L. Huang ◽  
J.-L. Cai
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Nonholonomic System ◽  
Research Result ◽  
Variable Mass ◽  
Nonholonomic Systems ◽  
Noether Symmetry ◽  
Additional Restriction ◽  
Holonomic System ◽  
Mei Symmetry

AbstractThe inverse problem of the Mei symmetry for nonholonomic systems with variable mass is studied. Firstly, the authors discuss the Mei symmetry of the holonomic system opposite to a nonholonomic system. Secondly, weak and strong Mei symmetries of a nonholonomic system are concluded through restriction equations and additional restriction equations. Thirdly, the relevant conserved quantity is deduced by means of the structure equation for the gauge function. Fourthly, the inverse problem of the Mei symmetry is obtained by the Noether symmetry. Finally, the paper offers an example to illustrate the application of the research result.

scholarly journals On Mei symmetry of Lagrangian system and Hamiltonian system

2005 ◽  
Vol 54 (2) ◽  
pp. 496
Author(s):  
Fang Jian-Hui ◽  
Peng Yong ◽  
Liao Yong-Pan
Keyword(s):  
Hamiltonian System ◽  
Lagrangian System ◽  
Mei Symmetry

Lie and Noether symmetry analysis in Brans–Dicke cosmology

2018 ◽  
Vol 33 (34) ◽  
pp. 1850198 ◽  
Author(s):  
Sourav Dutta ◽  
Santu Mondal
Keyword(s):  
Evolution Equations ◽  
Analytic Solution ◽  
State Parameter ◽  
Lie Symmetry ◽  
Noether Symmetry ◽  
Coordinate Systems ◽  
Group Invariant ◽  
Augmented System ◽  
Equation Of State Parameter ◽  
Group Invariant Solutions

This paper is aimed to study the group invariant solutions of the evolution equations in Brans–Dicke cosmology. In this context, we have considered the flat homogeneous Brans–Dicke (BD) scalar field in the background of flat homogeneous and isotropic Friedmann–Lemaître–Robertson–Walker (FLRW) cosmological model and have used Lie and Noether symmetry on the augmented system. From Lie symmetry we have determined the unknown potential for two different values of the equation of state parameter w. Then assuming that the Lagrangian admits a Noether symmetry, an analytic solution of the system is obtained in both old and new coordinate systems.

Sign in / Sign up

Export Citation Format

Share Document