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    I'm not sure how to generalise Noether's theorem.For this L, I think B⋅x˙ (that's an x dot) is conserved so I tried to relate F and K to this and try to show that that was conserved but got no where. any ideas?
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    (Original post by physics4ever)
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    I'm not sure how to generalise Noether's theorem.For this L, I think B⋅x˙ (that's an x dot) is conserved so I tried to relate F and K to this and try to show that that was conserved but got no where. any ideas?
    Observe that \dfrac{\partial L}{\partial \epsilon}|_{\epsilon = 0} = \dfrac{dF}{dt}. Furthermore, using the chain rule, express \dfrac{\partial L}{\partial \epsilon}|_{\epsilon = 0} as a time derivative. Hence deduce a conserved quantity.
 
 
 
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