An extended Galilei group and its application

1971 ◽  
Vol 4 (3) ◽  
pp. 223-227
Author(s):  
O. Holmaas
Keyword(s):  
Galilei Group ◽  
Extended Galilei Group

scholarly journals DEFORMED GALILEI SYMMETRY

1999 ◽  
Vol 14 (31) ◽  
pp. 2139-2149
Author(s):  
PIOTR KOSIŃSKI ◽  
PAWEł MAŚLANKA
Keyword(s):  
Galilei Group ◽  
Extended Galilei Group

A particular deformation of centrally extended Galilei group is considered. It is shown that the deformation influences the rules of constructing the composed systems while one-particle states remain basically unaffected. In particular, the mass appears to be nonadditive.

scholarly journals Deformed and extended Galilei group Hopf algebras

1996 ◽  
Vol 29 (19) ◽  
pp. 6353-6362 ◽  
Author(s):  
J A de Azcárraga ◽  
J C Pérez Bueno
Keyword(s):  
Hopf Algebras ◽  
Galilei Group ◽  
Extended Galilei Group

scholarly journals About the non-standard viewpoint on the dynamics of closed vortex filament

2018 ◽  
Vol 32 (33) ◽  
pp. 1850410 ◽  
Author(s):  
S. V. Talalov
Keyword(s):  
Phase Space ◽  
Effective Mass ◽  
Explicit Formula ◽  
Vortex Filament ◽  
Hamiltonian Description ◽  
Suggested Approach ◽  
Galilei Group ◽  
Filament Dynamics

In this paper, we construct the Hamiltonian description of the closed vortex filament dynamics in terms of non-standard variables, phase space and constraints. The suggested approach makes obvious interpretation of the considered system as a structured particle that possesses certain external and internal degrees of the freedom. The constructed theory is invariant under the transformation of Galilei group. The appearance of this group allows for a new viewpoint on the energy of a closed vortex filament with zero thickness. The explicit formula for the effective mass of the structured particle “closed vortex filament” is suggested.

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