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2
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3
votes
2
answers
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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 ...
4
votes
1
answer
450
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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 ...