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3 votes
2 answers
464 views

Relationship between vector field, generator & scalar field in Noether's theorem

I wonder "which quantity" is conserved in relation to a specific symmetry. I guess it is in some meaning simply the generator (in the context of Lie theory) of the symmetry, as it is true for angular ...
moshtaba's user avatar
  • 1,409
4 votes
1 answer
450 views

Finding conserved quantities

I have the 1-form $$\alpha = pdq-\frac{(p^2+q^2)}{2}dt$$ and the vector field $$v=p\frac{\partial}{\partial q} - q\frac{\partial}{\partial p}.$$ How would I find conserved quantities using Noether's ...
lvxvl's user avatar
  • 97