Helicity conservation via the Noether theorem
Author(s) -
Asher Yahalom
Publication year - 1995
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.531123
Subject(s) - noether's theorem , helicity , conservation law , group (periodic table) , symmetry (geometry) , symmetry group , mathematical physics , barotropic fluid , physics , ideal (ethics) , lagrangian , mathematics , theoretical physics , quantum mechanics , geometry , philosophy , mechanics , epistemology
The conservation of helicity in ideal barotropic fluids is discussed from agroup theoretical point of view. A new symmetry group is introduced i.e. thealpha group of translations. It is proven via the Noether theorem that thisgroup generates helicity conservation.Comment: 7 pages of te
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